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7/24/2019 Beam Diagrams (Fixed Steps)
1/375
geometry defnitions
length of beam 120.00 in
applied load 1,500 lb
distance to load 60.00 in
reaction orcesreaction at A 750 lb
reaction at B 750 lb
shear and moment
max shear 750 lb
max moment 45,000 lb*in
graphing inormation
location applied load shear moment
0.00 750 750 00.12 0 750 90
0.24 0 750 180
0.36 0 750 270
0.48 0 750 360
0.60 0 750 450
0.72 0 750 540
0.84 0 750 630
0.96 0 750 720
1.08 0 750 810
1.20 0 750 900
1.32 0 750 990
1.44 0 750 1,080
1.56 0 750 1,170
1.68 0 750 1,260
1.80 0 750 1,350
1.92 0 750 1,440
2.04 0 750 1,530
2.16 0 750 1,620
2.28 0 750 1,710
2.40 0 750 1,800
2.52 0 750 1,890
2.64 0 750 1,980
2.76 0 750 2,070
2.88 0 750 2,160
3.00 0 750 2,250
3.12 0 750 2,340
3.24 0 750 2,430
3.36 0 750 2,520
7/24/2019 Beam Diagrams (Fixed Steps)
2/375
3.48 0 750 2,610
3.60 0 750 2,700
3.72 0 750 2,790
3.84 0 750 2,880
3.96 0 750 2,970
4.08 0 750 3,060
4.20 0 750 3,1504.32 0 750 3,240
4.44 0 750 3,330
4.56 0 750 3,420
4.68 0 750 3,510
4.80 0 750 3,600
4.92 0 750 3,690
5.04 0 750 3,780
5.16 0 750 3,870
5.28 0 750 3,960
5.40 0 750 4,0505.52 0 750 4,140
5.64 0 750 4,230
5.76 0 750 4,320
5.88 0 750 4,410
6.00 0 750 4,500
6.12 0 750 4,590
6.24 0 750 4,680
6.36 0 750 4,770
6.48 0 750 4,860
6.60 0 750 4,950
6.72 0 750 5,040
6.84 0 750 5,130
6.96 0 750 5,220
7.08 0 750 5,310
7.20 0 750 5,400
7.32 0 750 5,490
7.44 0 750 5,580
7.56 0 750 5,670
7.68 0 750 5,760
7.80 0 750 5,850
7.92 0 750 5,940
8.04 0 750 6,030
8.16 0 750 6,120
8.28 0 750 6,210
8.40 0 750 6,300
8.52 0 750 6,390
8.64 0 750 6,480
8.76 0 750 6,570
7/24/2019 Beam Diagrams (Fixed Steps)
3/375
8.88 0 750 6,660
9.00 0 750 6,750
9.12 0 750 6,840
9.24 0 750 6,930
9.36 0 750 7,020
9.48 0 750 7,110
9.60 0 750 7,2009.72 0 750 7,290
9.84 0 750 7,380
9.96 0 750 7,470
10.08 0 750 7,560
10.20 0 750 7,650
10.32 0 750 7,740
10.44 0 750 7,830
10.56 0 750 7,920
10.68 0 750 8,010
10.80 0 750 8,10010.92 0 750 8,190
11.04 0 750 8,280
11.16 0 750 8,370
11.28 0 750 8,460
11.40 0 750 8,550
11.52 0 750 8,640
11.64 0 750 8,730
11.76 0 750 8,820
11.88 0 750 8,910
12.00 0 750 9,000
12.12 0 750 9,090
12.24 0 750 9,180
12.36 0 750 9,270
12.48 0 750 9,360
12.60 0 750 9,450
12.72 0 750 9,540
12.84 0 750 9,630
12.96 0 750 9,720
13.08 0 750 9,810
13.20 0 750 9,900
13.32 0 750 9,990
13.44 0 750 10,080
13.56 0 750 10,170
13.68 0 750 10,260
13.80 0 750 10,350
13.92 0 750 10,440
14.04 0 750 10,530
14.16 0 750 10,620
7/24/2019 Beam Diagrams (Fixed Steps)
4/375
14.28 0 750 10,710
14.40 0 750 10,800
14.52 0 750 10,890
14.64 0 750 10,980
14.76 0 750 11,070
14.88 0 750 11,160
15.00 0 750 11,25015.12 0 750 11,340
15.24 0 750 11,430
15.36 0 750 11,520
15.48 0 750 11,610
15.60 0 750 11,700
15.72 0 750 11,790
15.84 0 750 11,880
15.96 0 750 11,970
16.08 0 750 12,060
16.20 0 750 12,15016.32 0 750 12,240
16.44 0 750 12,330
16.56 0 750 12,420
16.68 0 750 12,510
16.80 0 750 12,600
16.92 0 750 12,690
17.04 0 750 12,780
17.16 0 750 12,870
17.28 0 750 12,960
17.40 0 750 13,050
17.52 0 750 13,140
17.64 0 750 13,230
17.76 0 750 13,320
17.88 0 750 13,410
18.00 0 750 13,500
18.12 0 750 13,590
18.24 0 750 13,680
18.36 0 750 13,770
18.48 0 750 13,860
18.60 0 750 13,950
18.72 0 750 14,040
18.84 0 750 14,130
18.96 0 750 14,220
19.08 0 750 14,310
19.20 0 750 14,400
19.32 0 750 14,490
19.44 0 750 14,580
19.56 0 750 14,670
7/24/2019 Beam Diagrams (Fixed Steps)
5/375
19.68 0 750 14,760
19.80 0 750 14,850
19.92 0 750 14,940
20.04 0 750 15,030
20.16 0 750 15,120
20.28 0 750 15,210
20.40 0 750 15,30020.52 0 750 15,390
20.64 0 750 15,480
20.76 0 750 15,570
20.88 0 750 15,660
21.00 0 750 15,750
21.12 0 750 15,840
21.24 0 750 15,930
21.36 0 750 16,020
21.48 0 750 16,110
21.60 0 750 16,20021.72 0 750 16,290
21.84 0 750 16,380
21.96 0 750 16,470
22.08 0 750 16,560
22.20 0 750 16,650
22.32 0 750 16,740
22.44 0 750 16,830
22.56 0 750 16,920
22.68 0 750 17,010
22.80 0 750 17,100
22.92 0 750 17,190
23.04 0 750 17,280
23.16 0 750 17,370
23.28 0 750 17,460
23.40 0 750 17,550
23.52 0 750 17,640
23.64 0 750 17,730
23.76 0 750 17,820
23.88 0 750 17,910
24.00 0 750 18,000
24.12 0 750 18,090
24.24 0 750 18,180
24.36 0 750 18,270
24.48 0 750 18,360
24.60 0 750 18,450
24.72 0 750 18,540
24.84 0 750 18,630
24.96 0 750 18,720
7/24/2019 Beam Diagrams (Fixed Steps)
6/375
25.08 0 750 18,810
25.20 0 750 18,900
25.32 0 750 18,990
25.44 0 750 19,080
25.56 0 750 19,170
25.68 0 750 19,260
25.80 0 750 19,35025.92 0 750 19,440
26.04 0 750 19,530
26.16 0 750 19,620
26.28 0 750 19,710
26.40 0 750 19,800
26.52 0 750 19,890
26.64 0 750 19,980
26.76 0 750 20,070
26.88 0 750 20,160
27.00 0 750 20,25027.12 0 750 20,340
27.24 0 750 20,430
27.36 0 750 20,520
27.48 0 750 20,610
27.60 0 750 20,700
27.72 0 750 20,790
27.84 0 750 20,880
27.96 0 750 20,970
28.08 0 750 21,060
28.20 0 750 21,150
28.32 0 750 21,240
28.44 0 750 21,330
28.56 0 750 21,420
28.68 0 750 21,510
28.80 0 750 21,600
28.92 0 750 21,690
29.04 0 750 21,780
29.16 0 750 21,870
29.28 0 750 21,960
29.40 0 750 22,050
29.52 0 750 22,140
29.64 0 750 22,230
29.76 0 750 22,320
29.88 0 750 22,410
30.00 0 750 22,500
30.12 0 750 22,590
30.24 0 750 22,680
30.36 0 750 22,770
7/24/2019 Beam Diagrams (Fixed Steps)
7/375
30.48 0 750 22,860
30.60 0 750 22,950
30.72 0 750 23,040
30.84 0 750 23,130
30.96 0 750 23,220
31.08 0 750 23,310
31.20 0 750 23,40031.32 0 750 23,490
31.44 0 750 23,580
31.56 0 750 23,670
31.68 0 750 23,760
31.80 0 750 23,850
31.92 0 750 23,940
32.04 0 750 24,030
32.16 0 750 24,120
32.28 0 750 24,210
32.40 0 750 24,30032.52 0 750 24,390
32.64 0 750 24,480
32.76 0 750 24,570
32.88 0 750 24,660
33.00 0 750 24,750
33.12 0 750 24,840
33.24 0 750 24,930
33.36 0 750 25,020
33.48 0 750 25,110
33.60 0 750 25,200
33.72 0 750 25,290
33.84 0 750 25,380
33.96 0 750 25,470
34.08 0 750 25,560
34.20 0 750 25,650
34.32 0 750 25,740
34.44 0 750 25,830
34.56 0 750 25,920
34.68 0 750 26,010
34.80 0 750 26,100
34.92 0 750 26,190
35.04 0 750 26,280
35.16 0 750 26,370
35.28 0 750 26,460
35.40 0 750 26,550
35.52 0 750 26,640
35.64 0 750 26,730
35.76 0 750 26,820
7/24/2019 Beam Diagrams (Fixed Steps)
8/375
35.88 0 750 26,910
36.00 0 750 27,000
36.12 0 750 27,090
36.24 0 750 27,180
36.36 0 750 27,270
36.48 0 750 27,360
36.60 0 750 27,45036.72 0 750 27,540
36.84 0 750 27,630
36.96 0 750 27,720
37.08 0 750 27,810
37.20 0 750 27,900
37.32 0 750 27,990
37.44 0 750 28,080
37.56 0 750 28,170
37.68 0 750 28,260
37.80 0 750 28,35037.92 0 750 28,440
38.04 0 750 28,530
38.16 0 750 28,620
38.28 0 750 28,710
38.40 0 750 28,800
38.52 0 750 28,890
38.64 0 750 28,980
38.76 0 750 29,070
38.88 0 750 29,160
39.00 0 750 29,250
39.12 0 750 29,340
39.24 0 750 29,430
39.36 0 750 29,520
39.48 0 750 29,610
39.60 0 750 29,700
39.72 0 750 29,790
39.84 0 750 29,880
39.96 0 750 29,970
40.08 0 750 30,060
40.20 0 750 30,150
40.32 0 750 30,240
40.44 0 750 30,330
40.56 0 750 30,420
40.68 0 750 30,510
40.80 0 750 30,600
40.92 0 750 30,690
41.04 0 750 30,780
41.16 0 750 30,870
7/24/2019 Beam Diagrams (Fixed Steps)
9/375
41.28 0 750 30,960
41.40 0 750 31,050
41.52 0 750 31,140
41.64 0 750 31,230
41.76 0 750 31,320
41.88 0 750 31,410
42.00 0 750 31,50042.12 0 750 31,590
42.24 0 750 31,680
42.36 0 750 31,770
42.48 0 750 31,860
42.60 0 750 31,950
42.72 0 750 32,040
42.84 0 750 32,130
42.96 0 750 32,220
43.08 0 750 32,310
43.20 0 750 32,40043.32 0 750 32,490
43.44 0 750 32,580
43.56 0 750 32,670
43.68 0 750 32,760
43.80 0 750 32,850
43.92 0 750 32,940
44.04 0 750 33,030
44.16 0 750 33,120
44.28 0 750 33,210
44.40 0 750 33,300
44.52 0 750 33,390
44.64 0 750 33,480
44.76 0 750 33,570
44.88 0 750 33,660
45.00 0 750 33,750
45.12 0 750 33,840
45.24 0 750 33,930
45.36 0 750 34,020
45.48 0 750 34,110
45.60 0 750 34,200
45.72 0 750 34,290
45.84 0 750 34,380
45.96 0 750 34,470
46.08 0 750 34,560
46.20 0 750 34,650
46.32 0 750 34,740
46.44 0 750 34,830
46.56 0 750 34,920
7/24/2019 Beam Diagrams (Fixed Steps)
10/375
46.68 0 750 35,010
46.80 0 750 35,100
46.92 0 750 35,190
47.04 0 750 35,280
47.16 0 750 35,370
47.28 0 750 35,460
47.40 0 750 35,55047.52 0 750 35,640
47.64 0 750 35,730
47.76 0 750 35,820
47.88 0 750 35,910
48.00 0 750 36,000
48.12 0 750 36,090
48.24 0 750 36,180
48.36 0 750 36,270
48.48 0 750 36,360
48.60 0 750 36,45048.72 0 750 36,540
48.84 0 750 36,630
48.96 0 750 36,720
49.08 0 750 36,810
49.20 0 750 36,900
49.32 0 750 36,990
49.44 0 750 37,080
49.56 0 750 37,170
49.68 0 750 37,260
49.80 0 750 37,350
49.92 0 750 37,440
50.04 0 750 37,530
50.16 0 750 37,620
50.28 0 750 37,710
50.40 0 750 37,800
50.52 0 750 37,890
50.64 0 750 37,980
50.76 0 750 38,070
50.88 0 750 38,160
51.00 0 750 38,250
51.12 0 750 38,340
51.24 0 750 38,430
51.36 0 750 38,520
51.48 0 750 38,610
51.60 0 750 38,700
51.72 0 750 38,790
51.84 0 750 38,880
51.96 0 750 38,970
7/24/2019 Beam Diagrams (Fixed Steps)
11/375
52.08 0 750 39,060
52.20 0 750 39,150
52.32 0 750 39,240
52.44 0 750 39,330
52.56 0 750 39,420
52.68 0 750 39,510
52.80 0 750 39,60052.92 0 750 39,690
53.04 0 750 39,780
53.16 0 750 39,870
53.28 0 750 39,960
53.40 0 750 40,050
53.52 0 750 40,140
53.64 0 750 40,230
53.76 0 750 40,320
53.88 0 750 40,410
54.00 0 750 40,50054.12 0 750 40,590
54.24 0 750 40,680
54.36 0 750 40,770
54.48 0 750 40,860
54.60 0 750 40,950
54.72 0 750 41,040
54.84 0 750 41,130
54.96 0 750 41,220
55.08 0 750 41,310
55.20 0 750 41,400
55.32 0 750 41,490
55.44 0 750 41,580
55.56 0 750 41,670
55.68 0 750 41,760
55.80 0 750 41,850
55.92 0 750 41,940
56.04 0 750 42,030
56.16 0 750 42,120
56.28 0 750 42,210
56.40 0 750 42,300
56.52 0 750 42,390
56.64 0 750 42,480
56.76 0 750 42,570
56.88 0 750 42,660
57.00 0 750 42,750
57.12 0 750 42,840
57.24 0 750 42,930
57.36 0 750 43,020
7/24/2019 Beam Diagrams (Fixed Steps)
12/375
57.48 0 750 43,110
57.60 0 750 43,200
57.72 0 750 43,290
57.84 0 750 43,380
57.96 0 750 43,470
58.08 0 750 43,560
58.20 0 750 43,65058.32 0 750 43,740
58.44 0 750 43,830
58.56 0 750 43,920
58.68 0 750 44,010
58.80 0 750 44,100
58.92 0 750 44,190
59.04 0 750 44,280
59.16 0 750 44,370
59.28 0 750 44,460
59.40 0 750 44,55059.52 0 750 44,640
59.64 0 750 44,730
59.76 0 750 44,820
59.88 0 750 44,910
60.00 0 750 45,000
60.12 0 750 44,910
60.24 0 750 44,820
60.36 0 750 44,730
60.48 0 750 44,640
60.60 0 750 44,550
60.72 0 750 44,460
60.84 0 750 44,370
60.96 0 750 44,280
61.08 0 750 44,190
61.20 0 750 44,100
61.32 0 750 44,010
61.44 0 750 43,920
61.56 0 750 43,830
61.68 0 750 43,740
61.80 0 750 43,650
61.92 0 750 43,560
62.04 0 750 43,470
62.16 0 750 43,380
62.28 0 750 43,290
62.40 0 750 43,200
62.52 0 750 43,110
62.64 0 750 43,020
62.76 0 750 42,930
7/24/2019 Beam Diagrams (Fixed Steps)
13/375
62.88 0 750 42,840
63.00 0 750 42,750
63.12 0 750 42,660
63.24 0 750 42,570
63.36 0 750 42,480
63.48 0 750 42,390
63.60 0 750 42,30063.72 0 750 42,210
63.84 0 750 42,120
63.96 0 750 42,030
64.08 0 750 41,940
64.20 0 750 41,850
64.32 0 750 41,760
64.44 0 750 41,670
64.56 0 750 41,580
64.68 0 750 41,490
64.80 0 750 41,40064.92 0 750 41,310
65.04 0 750 41,220
65.16 0 750 41,130
65.28 0 750 41,040
65.40 0 750 40,950
65.52 0 750 40,860
65.64 0 750 40,770
65.76 0 750 40,680
65.88 0 750 40,590
66.00 0 750 40,500
66.12 0 750 40,410
66.24 0 750 40,320
66.36 0 750 40,230
66.48 0 750 40,140
66.60 0 750 40,050
66.72 0 750 39,960
66.84 0 750 39,870
66.96 0 750 39,780
67.08 0 750 39,690
67.20 0 750 39,600
67.32 0 750 39,510
67.44 0 750 39,420
67.56 0 750 39,330
67.68 0 750 39,240
67.80 0 750 39,150
67.92 0 750 39,060
68.04 0 750 38,970
68.16 0 750 38,880
7/24/2019 Beam Diagrams (Fixed Steps)
14/375
68.28 0 750 38,790
68.40 0 750 38,700
68.52 0 750 38,610
68.64 0 750 38,520
68.76 0 750 38,430
68.88 0 750 38,340
69.00 0 750 38,25069.12 0 750 38,160
69.24 0 750 38,070
69.36 0 750 37,980
69.48 0 750 37,890
69.60 0 750 37,800
69.72 0 750 37,710
69.84 0 750 37,620
69.96 0 750 37,530
70.08 0 750 37,440
70.20 0 750 37,35070.32 0 750 37,260
70.44 0 750 37,170
70.56 0 750 37,080
70.68 0 750 36,990
70.80 0 750 36,900
70.92 0 750 36,810
71.04 0 750 36,720
71.16 0 750 36,630
71.28 0 750 36,540
71.40 0 750 36,450
71.52 0 750 36,360
71.64 0 750 36,270
71.76 0 750 36,180
71.88 0 750 36,090
72.00 0 750 36,000
72.12 0 750 35,910
72.24 0 750 35,820
72.36 0 750 35,730
72.48 0 750 35,640
72.60 0 750 35,550
72.72 0 750 35,460
72.84 0 750 35,370
72.96 0 750 35,280
73.08 0 750 35,190
73.20 0 750 35,100
73.32 0 750 35,010
73.44 0 750 34,920
73.56 0 750 34,830
7/24/2019 Beam Diagrams (Fixed Steps)
15/375
73.68 0 750 34,740
73.80 0 750 34,650
73.92 0 750 34,560
74.04 0 750 34,470
74.16 0 750 34,380
74.28 0 750 34,290
74.40 0 750 34,20074.52 0 750 34,110
74.64 0 750 34,020
74.76 0 750 33,930
74.88 0 750 33,840
75.00 0 750 33,750
75.12 0 750 33,660
75.24 0 750 33,570
75.36 0 750 33,480
75.48 0 750 33,390
75.60 0 750 33,30075.72 0 750 33,210
75.84 0 750 33,120
75.96 0 750 33,030
76.08 0 750 32,940
76.20 0 750 32,850
76.32 0 750 32,760
76.44 0 750 32,670
76.56 0 750 32,580
76.68 0 750 32,490
76.80 0 750 32,400
76.92 0 750 32,310
77.04 0 750 32,220
77.16 0 750 32,130
77.28 0 750 32,040
77.40 0 750 31,950
77.52 0 750 31,860
77.64 0 750 31,770
77.76 0 750 31,680
77.88 0 750 31,590
78.00 0 750 31,500
78.12 0 750 31,410
78.24 0 750 31,320
78.36 0 750 31,230
78.48 0 750 31,140
78.60 0 750 31,050
78.72 0 750 30,960
78.84 0 750 30,870
78.96 0 750 30,780
7/24/2019 Beam Diagrams (Fixed Steps)
16/375
79.08 0 750 30,690
79.20 0 750 30,600
79.32 0 750 30,510
79.44 0 750 30,420
79.56 0 750 30,330
79.68 0 750 30,240
79.80 0 750 30,15079.92 0 750 30,060
80.04 0 750 29,970
80.16 0 750 29,880
80.28 0 750 29,790
80.40 0 750 29,700
80.52 0 750 29,610
80.64 0 750 29,520
80.76 0 750 29,430
80.88 0 750 29,340
81.00 0 750 29,25081.12 0 750 29,160
81.24 0 750 29,070
81.36 0 750 28,980
81.48 0 750 28,890
81.60 0 750 28,800
81.72 0 750 28,710
81.84 0 750 28,620
81.96 0 750 28,530
82.08 0 750 28,440
82.20 0 750 28,350
82.32 0 750 28,260
82.44 0 750 28,170
82.56 0 750 28,080
82.68 0 750 27,990
82.80 0 750 27,900
82.92 0 750 27,810
83.04 0 750 27,720
83.16 0 750 27,630
83.28 0 750 27,540
83.40 0 750 27,450
83.52 0 750 27,360
83.64 0 750 27,270
83.76 0 750 27,180
83.88 0 750 27,090
84.00 0 750 27,000
84.12 0 750 26,910
84.24 0 750 26,820
84.36 0 750 26,730
7/24/2019 Beam Diagrams (Fixed Steps)
17/375
84.48 0 750 26,640
84.60 0 750 26,550
84.72 0 750 26,460
84.84 0 750 26,370
84.96 0 750 26,280
85.08 0 750 26,190
85.20 0 750 26,10085.32 0 750 26,010
85.44 0 750 25,920
85.56 0 750 25,830
85.68 0 750 25,740
85.80 0 750 25,650
85.92 0 750 25,560
86.04 0 750 25,470
86.16 0 750 25,380
86.28 0 750 25,290
86.40 0 750 25,20086.52 0 750 25,110
86.64 0 750 25,020
86.76 0 750 24,930
86.88 0 750 24,840
87.00 0 750 24,750
87.12 0 750 24,660
87.24 0 750 24,570
87.36 0 750 24,480
87.48 0 750 24,390
87.60 0 750 24,300
87.72 0 750 24,210
87.84 0 750 24,120
87.96 0 750 24,030
88.08 0 750 23,940
88.20 0 750 23,850
88.32 0 750 23,760
88.44 0 750 23,670
88.56 0 750 23,580
88.68 0 750 23,490
88.80 0 750 23,400
88.92 0 750 23,310
89.04 0 750 23,220
89.16 0 750 23,130
89.28 0 750 23,040
89.40 0 750 22,950
89.52 0 750 22,860
89.64 0 750 22,770
89.76 0 750 22,680
7/24/2019 Beam Diagrams (Fixed Steps)
18/375
89.88 0 750 22,590
90.00 0 750 22,500
90.12 0 750 22,410
90.24 0 750 22,320
90.36 0 750 22,230
90.48 0 750 22,140
90.60 0 750 22,05090.72 0 750 21,960
90.84 0 750 21,870
90.96 0 750 21,780
91.08 0 750 21,690
91.20 0 750 21,600
91.32 0 750 21,510
91.44 0 750 21,420
91.56 0 750 21,330
91.68 0 750 21,240
91.80 0 750 21,15091.92 0 750 21,060
92.04 0 750 20,970
92.16 0 750 20,880
92.28 0 750 20,790
92.40 0 750 20,700
92.52 0 750 20,610
92.64 0 750 20,520
92.76 0 750 20,430
92.88 0 750 20,340
93.00 0 750 20,250
93.12 0 750 20,160
93.24 0 750 20,070
93.36 0 750 19,980
93.48 0 750 19,890
93.60 0 750 19,800
93.72 0 750 19,710
93.84 0 750 19,620
93.96 0 750 19,530
94.08 0 750 19,440
94.20 0 750 19,350
94.32 0 750 19,260
94.44 0 750 19,170
94.56 0 750 19,080
94.68 0 750 18,990
94.80 0 750 18,900
94.92 0 750 18,810
95.04 0 750 18,720
95.16 0 750 18,630
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95.28 0 750 18,540
95.40 0 750 18,450
95.52 0 750 18,360
95.64 0 750 18,270
95.76 0 750 18,180
95.88 0 750 18,090
96.00 0 750 18,00096.12 0 750 17,910
96.24 0 750 17,820
96.36 0 750 17,730
96.48 0 750 17,640
96.60 0 750 17,550
96.72 0 750 17,460
96.84 0 750 17,370
96.96 0 750 17,280
97.08 0 750 17,190
97.20 0 750 17,10097.32 0 750 17,010
97.44 0 750 16,920
97.56 0 750 16,830
97.68 0 750 16,740
97.80 0 750 16,650
97.92 0 750 16,560
98.04 0 750 16,470
98.16 0 750 16,380
98.28 0 750 16,290
98.40 0 750 16,200
98.52 0 750 16,110
98.64 0 750 16,020
98.76 0 750 15,930
98.88 0 750 15,840
99.00 0 750 15,750
99.12 0 750 15,660
99.24 0 750 15,570
99.36 0 750 15,480
99.48 0 750 15,390
99.60 0 750 15,300
99.72 0 750 15,210
99.84 0 750 15,120
99.96 0 750 15,030
100.08 0 750 14,940
100.20 0 750 14,850
100.32 0 750 14,760
100.44 0 750 14,670
100.56 0 750 14,580
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100.68 0 750 14,490
100.80 0 750 14,400
100.92 0 750 14,310
101.04 0 750 14,220
101.16 0 750 14,130
101.28 0 750 14,040
101.40 0 750 13,950101.52 0 750 13,860
101.64 0 750 13,770
101.76 0 750 13,680
101.88 0 750 13,590
102.00 0 750 13,500
102.12 0 750 13,410
102.24 0 750 13,320
102.36 0 750 13,230
102.48 0 750 13,140
102.60 0 750 13,050102.72 0 750 12,960
102.84 0 750 12,870
102.96 0 750 12,780
103.08 0 750 12,690
103.20 0 750 12,600
103.32 0 750 12,510
103.44 0 750 12,420
103.56 0 750 12,330
103.68 0 750 12,240
103.80 0 750 12,150
103.92 0 750 12,060
104.04 0 750 11,970
104.16 0 750 11,880
104.28 0 750 11,790
104.40 0 750 11,700
104.52 0 750 11,610
104.64 0 750 11,520
104.76 0 750 11,430
104.88 0 750 11,340
105.00 0 750 11,250
105.12 0 750 11,160
105.24 0 750 11,070
105.36 0 750 10,980
105.48 0 750 10,890
105.60 0 750 10,800
105.72 0 750 10,710
105.84 0 750 10,620
105.96 0 750 10,530
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106.08 0 750 10,440
106.20 0 750 10,350
106.32 0 750 10,260
106.44 0 750 10,170
106.56 0 750 10,080
106.68 0 750 9,990
106.80 0 750 9,900106.92 0 750 9,810
107.04 0 750 9,720
107.16 0 750 9,630
107.28 0 750 9,540
107.40 0 750 9,450
107.52 0 750 9,360
107.64 0 750 9,270
107.76 0 750 9,180
107.88 0 750 9,090
108.00 0 750 9,000108.12 0 750 8,910
108.24 0 750 8,820
108.36 0 750 8,730
108.48 0 750 8,640
108.60 0 750 8,550
108.72 0 750 8,460
108.84 0 750 8,370
108.96 0 750 8,280
109.08 0 750 8,190
109.20 0 750 8,100
109.32 0 750 8,010
109.44 0 750 7,920
109.56 0 750 7,830
109.68 0 750 7,740
109.80 0 750 7,650
109.92 0 750 7,560
110.04 0 750 7,470
110.16 0 750 7,380
110.28 0 750 7,290
110.40 0 750 7,200
110.52 0 750 7,110
110.64 0 750 7,020
110.76 0 750 6,930
110.88 0 750 6,840
111.00 0 750 6,750
111.12 0 750 6,660
111.24 0 750 6,570
111.36 0 750 6,480
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111.48 0 750 6,390
111.60 0 750 6,300
111.72 0 750 6,210
111.84 0 750 6,120
111.96 0 750 6,030
112.08 0 750 5,940
112.20 0 750 5,850112.32 0 750 5,760
112.44 0 750 5,670
112.56 0 750 5,580
112.68 0 750 5,490
112.80 0 750 5,400
112.92 0 750 5,310
113.04 0 750 5,220
113.16 0 750 5,130
113.28 0 750 5,040
113.40 0 750 4,950113.52 0 750 4,860
113.64 0 750 4,770
113.76 0 750 4,680
113.88 0 750 4,590
114.00 0 750 4,500
114.12 0 750 4,410
114.24 0 750 4,320
114.36 0 750 4,230
114.48 0 750 4,140
114.60 0 750 4,050
114.72 0 750 3,960
114.84 0 750 3,870
114.96 0 750 3,780
115.08 0 750 3,690
115.20 0 750 3,600
115.32 0 750 3,510
115.44 0 750 3,420
115.56 0 750 3,330
115.68 0 750 3,240
115.80 0 750 3,150
115.92 0 750 3,060
116.04 0 750 2,970
116.16 0 750 2,880
116.28 0 750 2,790
116.40 0 750 2,700
116.52 0 750 2,610
116.64 0 750 2,520
116.76 0 750 2,430
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116.88 0 750 2,340
117.00 0 750 2,250
117.12 0 750 2,160
117.24 0 750 2,070
117.36 0 750 1,980
117.48 0 750 1,890
117.60 0 750 1,800117.72 0 750 1,710
117.84 0 750 1,620
117.96 0 750 1,530
118.08 0 750 1,440
118.20 0 750 1,350
118.32 0 750 1,260
118.44 0 750 1,170
118.56 0 750 1,080
118.68 0 750 990
118.80 0 750 900118.92 0 750 810
119.04 0 750 720
119.16 0 750 630
119.28 0 750 540
119.40 0 750 450
119.52 0 750 360
119.64 0 750 270
119.76 0 750 180
119.88 0 750 90
120.00 0 750 0
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0 20 40 60 80 100 120 1400
100
200
300
400
500
600
700
800
-10,000
0
10,000
20,000
30,000
40,000
50,000
Point Load with Simple Supports
Beam ocation !in"
Shear Force (lb) Bending Moment l!"in#
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geometry defnitions
length 1#0.00 in
applied load 1 !$1" 500 lb
distance to load 1 !a" 60.00 in
applied load 2 !$2" 500 lbdistance to load 2 !l%b" 120.00 in
reaction orces
reaction at A !&1" 500 lb
reaction at B !&2" 500 lb
shear and moment
max shear 500 lb
max moment '0,000 lb*in
graphing inormation
location applied force shear moment
0.00 500 500 0
0.1# 0 500 (0
0.'6 0 500 1#0
0.54 0 500 270
0.72 0 500 '60
0.(0 0 500 450
1.0# 0 500 540
1.26 0 500 6'0
1.44 0 500 720
1.62 0 500 #10
1.#0 0 500 (00
1.(# 0 500 ((0
2.16 0 500 1,0#0
2.'4 0 500 1,170
2.52 0 500 1,260
2.70 0 500 1,'50
2.## 0 500 1,440
'.06 0 500 1,5'0
'.24 0 500 1,620
'.42 0 500 1,710
'.60 0 500 1,#00
'.7# 0 500 1,#(0
'.(6 0 500 1,(#0
4.14 0 500 2,070
4.'2 0 500 2,160
4.50 0 500 2,250
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4.6# 0 500 2,'40
4.#6 0 500 2,4'0
5.04 0 500 2,520
5.22 0 500 2,610
5.40 0 500 2,700
5.5# 0 500 2,7(0
5.76 0 500 2,##05.(4 0 500 2,(70
6.12 0 500 ',060
6.'0 0 500 ',150
6.4# 0 500 ',240
6.66 0 500 ',''0
6.#4 0 500 ',420
7.02 0 500 ',510
7.20 0 500 ',600
7.'# 0 500 ',6(0
7.56 0 500 ',7#07.74 0 500 ',#70
7.(2 0 500 ',(60
#.10 0 500 4,050
#.2# 0 500 4,140
#.46 0 500 4,2'0
#.64 0 500 4,'20
#.#2 0 500 4,410
(.00 0 500 4,500
(.1# 0 500 4,5(0
(.'6 0 500 4,6#0
(.54 0 500 4,770
(.72 0 500 4,#60
(.(0 0 500 4,(50
10.0# 0 500 5,040
10.26 0 500 5,1'0
10.44 0 500 5,220
10.62 0 500 5,'10
10.#0 0 500 5,400
10.(# 0 500 5,4(0
11.16 0 500 5,5#0
11.'4 0 500 5,670
11.52 0 500 5,760
11.70 0 500 5,#50
11.## 0 500 5,(40
12.06 0 500 6,0'0
12.24 0 500 6,120
12.42 0 500 6,210
12.60 0 500 6,'00
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12.7# 0 500 6,'(0
12.(6 0 500 6,4#0
1'.14 0 500 6,570
1'.'2 0 500 6,660
1'.50 0 500 6,750
1'.6# 0 500 6,#40
1'.#6 0 500 6,('014.04 0 500 7,020
14.22 0 500 7,110
14.40 0 500 7,200
14.5# 0 500 7,2(0
14.76 0 500 7,'#0
14.(4 0 500 7,470
15.12 0 500 7,560
15.'0 0 500 7,650
15.4# 0 500 7,740
15.66 0 500 7,#'015.#4 0 500 7,(20
16.02 0 500 #,010
16.20 0 500 #,100
16.'# 0 500 #,1(0
16.56 0 500 #,2#0
16.74 0 500 #,'70
16.(2 0 500 #,460
17.10 0 500 #,550
17.2# 0 500 #,640
17.46 0 500 #,7'0
17.64 0 500 #,#20
17.#2 0 500 #,(10
1#.00 0 500 (,000
1#.1# 0 500 (,0(0
1#.'6 0 500 (,1#0
1#.54 0 500 (,270
1#.72 0 500 (,'60
1#.(0 0 500 (,450
1(.0# 0 500 (,540
1(.26 0 500 (,6'0
1(.44 0 500 (,720
1(.62 0 500 (,#10
1(.#0 0 500 (,(00
1(.(# 0 500 (,((0
20.16 0 500 10,0#0
20.'4 0 500 10,170
20.52 0 500 10,260
20.70 0 500 10,'50
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20.## 0 500 10,440
21.06 0 500 10,5'0
21.24 0 500 10,620
21.42 0 500 10,710
21.60 0 500 10,#00
21.7# 0 500 10,#(0
21.(6 0 500 10,(#022.14 0 500 11,070
22.'2 0 500 11,160
22.50 0 500 11,250
22.6# 0 500 11,'40
22.#6 0 500 11,4'0
2'.04 0 500 11,520
2'.22 0 500 11,610
2'.40 0 500 11,700
2'.5# 0 500 11,7(0
2'.76 0 500 11,##02'.(4 0 500 11,(70
24.12 0 500 12,060
24.'0 0 500 12,150
24.4# 0 500 12,240
24.66 0 500 12,''0
24.#4 0 500 12,420
25.02 0 500 12,510
25.20 0 500 12,600
25.'# 0 500 12,6(0
25.56 0 500 12,7#0
25.74 0 500 12,#70
25.(2 0 500 12,(60
26.10 0 500 1',050
26.2# 0 500 1',140
26.46 0 500 1',2'0
26.64 0 500 1','20
26.#2 0 500 1',410
27.00 0 500 1',500
27.1# 0 500 1',5(0
27.'6 0 500 1',6#0
27.54 0 500 1',770
27.72 0 500 1',#60
27.(0 0 500 1',(50
2#.0# 0 500 14,040
2#.26 0 500 14,1'0
2#.44 0 500 14,220
2#.62 0 500 14,'10
2#.#0 0 500 14,400
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2#.(# 0 500 14,4(0
2(.16 0 500 14,5#0
2(.'4 0 500 14,670
2(.52 0 500 14,760
2(.70 0 500 14,#50
2(.## 0 500 14,(40
'0.06 0 500 15,0'0'0.24 0 500 15,120
'0.42 0 500 15,210
'0.60 0 500 15,'00
'0.7# 0 500 15,'(0
'0.(6 0 500 15,4#0
'1.14 0 500 15,570
'1.'2 0 500 15,660
'1.50 0 500 15,750
'1.6# 0 500 15,#40
'1.#6 0 500 15,('0'2.04 0 500 16,020
'2.22 0 500 16,110
'2.40 0 500 16,200
'2.5# 0 500 16,2(0
'2.76 0 500 16,'#0
'2.(4 0 500 16,470
''.12 0 500 16,560
''.'0 0 500 16,650
''.4# 0 500 16,740
''.66 0 500 16,#'0
''.#4 0 500 16,(20
'4.02 0 500 17,010
'4.20 0 500 17,100
'4.'# 0 500 17,1(0
'4.56 0 500 17,2#0
'4.74 0 500 17,'70
'4.(2 0 500 17,460
'5.10 0 500 17,550
'5.2# 0 500 17,640
'5.46 0 500 17,7'0
'5.64 0 500 17,#20
'5.#2 0 500 17,(10
'6.00 0 500 1#,000
'6.1# 0 500 1#,0(0
'6.'6 0 500 1#,1#0
'6.54 0 500 1#,270
'6.72 0 500 1#,'60
'6.(0 0 500 1#,450
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'7.0# 0 500 1#,540
'7.26 0 500 1#,6'0
'7.44 0 500 1#,720
'7.62 0 500 1#,#10
'7.#0 0 500 1#,(00
'7.(# 0 500 1#,((0
'#.16 0 500 1(,0#0'#.'4 0 500 1(,170
'#.52 0 500 1(,260
'#.70 0 500 1(,'50
'#.## 0 500 1(,440
'(.06 0 500 1(,5'0
'(.24 0 500 1(,620
'(.42 0 500 1(,710
'(.60 0 500 1(,#00
'(.7# 0 500 1(,#(0
'(.(6 0 500 1(,(#040.14 0 500 20,070
40.'2 0 500 20,160
40.50 0 500 20,250
40.6# 0 500 20,'40
40.#6 0 500 20,4'0
41.04 0 500 20,520
41.22 0 500 20,610
41.40 0 500 20,700
41.5# 0 500 20,7(0
41.76 0 500 20,##0
41.(4 0 500 20,(70
42.12 0 500 21,060
42.'0 0 500 21,150
42.4# 0 500 21,240
42.66 0 500 21,''0
42.#4 0 500 21,420
4'.02 0 500 21,510
4'.20 0 500 21,600
4'.'# 0 500 21,6(0
4'.56 0 500 21,7#0
4'.74 0 500 21,#70
4'.(2 0 500 21,(60
44.10 0 500 22,050
44.2# 0 500 22,140
44.46 0 500 22,2'0
44.64 0 500 22,'20
44.#2 0 500 22,410
45.00 0 500 22,500
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45.1# 0 500 22,5(0
45.'6 0 500 22,6#0
45.54 0 500 22,770
45.72 0 500 22,#60
45.(0 0 500 22,(50
46.0# 0 500 2',040
46.26 0 500 2',1'046.44 0 500 2',220
46.62 0 500 2','10
46.#0 0 500 2',400
46.(# 0 500 2',4(0
47.16 0 500 2',5#0
47.'4 0 500 2',670
47.52 0 500 2',760
47.70 0 500 2',#50
47.## 0 500 2',(40
4#.06 0 500 24,0'04#.24 0 500 24,120
4#.42 0 500 24,210
4#.60 0 500 24,'00
4#.7# 0 500 24,'(0
4#.(6 0 500 24,4#0
4(.14 0 500 24,570
4(.'2 0 500 24,660
4(.50 0 500 24,750
4(.6# 0 500 24,#40
4(.#6 0 500 24,('0
50.04 0 500 25,020
50.22 0 500 25,110
50.40 0 500 25,200
50.5# 0 500 25,2(0
50.76 0 500 25,'#0
50.(4 0 500 25,470
51.12 0 500 25,560
51.'0 0 500 25,650
51.4# 0 500 25,740
51.66 0 500 25,#'0
51.#4 0 500 25,(20
52.02 0 500 26,010
52.20 0 500 26,100
52.'# 0 500 26,1(0
52.56 0 500 26,2#0
52.74 0 500 26,'70
52.(2 0 500 26,460
5'.10 0 500 26,550
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5'.2# 0 500 26,640
5'.46 0 500 26,7'0
5'.64 0 500 26,#20
5'.#2 0 500 26,(10
54.00 0 500 27,000
54.1# 0 500 27,0(0
54.'6 0 500 27,1#054.54 0 500 27,270
54.72 0 500 27,'60
54.(0 0 500 27,450
55.0# 0 500 27,540
55.26 0 500 27,6'0
55.44 0 500 27,720
55.62 0 500 27,#10
55.#0 0 500 27,(00
55.(# 0 500 27,((0
56.16 0 500 2#,0#056.'4 0 500 2#,170
56.52 0 500 2#,260
56.70 0 500 2#,'50
56.## 0 500 2#,440
57.06 0 500 2#,5'0
57.24 0 500 2#,620
57.42 0 500 2#,710
57.60 0 500 2#,#00
57.7# 0 500 2#,#(0
57.(6 0 500 2#,(#0
5#.14 0 500 2(,070
5#.'2 0 500 2(,160
5#.50 0 500 2(,250
5#.6# 0 500 2(,'40
5#.#6 0 500 2(,4'0
5(.04 0 500 2(,520
5(.22 0 500 2(,610
5(.40 0 500 2(,700
5(.5# 0 500 2(,7(0
5(.76 0 500 2(,##0
5(.(4 0 500 2(,(70
60.12 0 500 '0,000
60.'0 0 500 '0,000
60.4# 0 500 '0,000
60.66 0 500 '0,000
60.#4 0 500 '0,000
61.02 0 500 '0,000
61.20 0 500 '0,000
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61.'# 0 500 '0,000
61.56 0 500 '0,000
61.74 0 500 '0,000
61.(2 0 500 '0,000
62.10 0 500 '0,000
62.2# 0 500 '0,000
62.46 0 500 '0,00062.64 0 500 '0,000
62.#2 0 500 '0,000
6'.00 0 500 '0,000
6'.1# 0 500 '0,000
6'.'6 0 500 '0,000
6'.54 0 500 '0,000
6'.72 0 500 '0,000
6'.(0 0 500 '0,000
64.0# 0 500 '0,000
64.26 0 500 '0,00064.44 0 500 '0,000
64.62 0 500 '0,000
64.#0 0 500 '0,000
64.(# 0 500 '0,000
65.16 0 500 '0,000
65.'4 0 500 '0,000
65.52 0 500 '0,000
65.70 0 500 '0,000
65.## 0 500 '0,000
66.06 0 500 '0,000
66.24 0 500 '0,000
66.42 0 500 '0,000
66.60 0 500 '0,000
66.7# 0 500 '0,000
66.(6 0 500 '0,000
67.14 0 500 '0,000
67.'2 0 500 '0,000
67.50 0 500 '0,000
67.6# 0 500 '0,000
67.#6 0 500 '0,000
6#.04 0 500 '0,000
6#.22 0 500 '0,000
6#.40 0 500 '0,000
6#.5# 0 500 '0,000
6#.76 0 500 '0,000
6#.(4 0 500 '0,000
6(.12 0 500 '0,000
6(.'0 0 500 '0,000
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6(.4# 0 500 '0,000
6(.66 0 500 '0,000
6(.#4 0 500 '0,000
70.02 0 500 '0,000
70.20 0 500 '0,000
70.'# 0 500 '0,000
70.56 0 500 '0,00070.74 0 500 '0,000
70.(2 0 500 '0,000
71.10 0 500 '0,000
71.2# 0 500 '0,000
71.46 0 500 '0,000
71.64 0 500 '0,000
71.#2 0 500 '0,000
72.00 0 500 '0,000
72.1# 0 500 '0,000
72.'6 0 500 '0,00072.54 0 500 '0,000
72.72 0 500 '0,000
72.(0 0 500 '0,000
7'.0# 0 500 '0,000
7'.26 0 500 '0,000
7'.44 0 500 '0,000
7'.62 0 500 '0,000
7'.#0 0 500 '0,000
7'.(# 0 500 '0,000
74.16 0 500 '0,000
74.'4 0 500 '0,000
74.52 0 500 '0,000
74.70 0 500 '0,000
74.## 0 500 '0,000
75.06 0 500 '0,000
75.24 0 500 '0,000
75.42 0 500 '0,000
75.60 0 500 '0,000
75.7# 0 500 '0,000
75.(6 0 500 '0,000
76.14 0 500 '0,000
76.'2 0 500 '0,000
76.50 0 500 '0,000
76.6# 0 500 '0,000
76.#6 0 500 '0,000
77.04 0 500 '0,000
77.22 0 500 '0,000
77.40 0 500 '0,000
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77.5# 0 500 '0,000
77.76 0 500 '0,000
77.(4 0 500 '0,000
7#.12 0 500 '0,000
7#.'0 0 500 '0,000
7#.4# 0 500 '0,000
7#.66 0 500 '0,0007#.#4 0 500 '0,000
7(.02 0 500 '0,000
7(.20 0 500 '0,000
7(.'# 0 500 '0,000
7(.56 0 500 '0,000
7(.74 0 500 '0,000
7(.(2 0 500 '0,000
#0.10 0 500 '0,000
#0.2# 0 500 '0,000
#0.46 0 500 '0,000#0.64 0 500 '0,000
#0.#2 0 500 '0,000
#1.00 0 500 '0,000
#1.1# 0 500 '0,000
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11#.0# 0 500 '0,000
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126.1# 0 500 26,(10
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1''.'# 0 500 2','10
1''.56 0 500 2',220
1''.74 0 500 2',1'0
1''.(2 0 500 2',040
1'4.10 0 500 22,(50
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1'4.2# 0 500 22,#60
1'4.46 0 500 22,770
1'4.64 0 500 22,6#0
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1'7.16 0 500 21,4201'7.'4 0 500 21,''0
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1'#.60 0 500 20,700
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1'(.14 0 500 20,4'0
1'(.'2 0 500 20,'40
1'(.50 0 500 20,250
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140.04 0 500 1(,(#0
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142.'# 0 500 1#,#10
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150.4# 0 500 14,760
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15#.5# 0 500 10,710
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165.(6 0 500 7,020
166.14 0 500 6,('0
166.'2 0 500 6,#40
166.50 0 500 6,750
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166.6# 0 500 6,660
166.#6 0 500 6,570
167.04 0 500 6,4#0
167.22 0 500 6,'(0
167.40 0 500 6,'00
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167.76 0 500 6,120167.(4 0 500 6,0'0
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16(.20 0 500 5,400
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170.10 0 500 4,(50
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174.42 0 500 2,7(0
174.60 0 500 2,700
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174.7# 0 500 2,610
174.(6 0 500 2,520
175.14 0 500 2,4'0
175.'2 0 500 2,'40
175.50 0 500 2,250
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1#0.00 0 500 0
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0.00 20.00 40.00 60.00 80.00 100.00 120.00 140.00 160.00 180.00 200.000
100
200
300
400
500
600
-5,000
0
5,000
10,000
15,000
20,000
25,000
30,000
35,000
Dual Point Loads with Simple Support
Beam ocation !in"
)hear orce !lb" Bending +oment !lb*in"
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geometry defnitions
length (6.00 in
applied load 2,000 lbin
total applied load 1(2,000 lb
reaction orcesreaction at A (6,000 lb
reaction at B (6,000 lb
shear and moment
max shear (6,000 lb
max moment 2,'04,000 lb*in
location shear moment
0.00 (6,000 %
0.10 (5,#0# (,2070.1( (5,616 1#,'(5
0.2( (5,424 27,565
0.'# (5,2'2 '6,717
0.4# (5,040 45,#50
0.5# (4,#4# 54,(64
0.67 (4,656 64,060
0.77 (4,464 7',1'#
0.#6 (4,272 #2,1(#
0.(6 (4,0#0 (1,2'#
1.06 (',### 100,261
1.15 (',6(6 10(,265
1.25 (',504 11#,250
1.'4 (','12 127,21#
1.44 (',120 1'6,166
1.54 (2,(2# 145,0(7
1.6' (2,7'6 154,00(
1.7' (2,544 162,(02
1.#2 (2,'52 171,777
1.(2 (2,160 1#0,6'4
2.02 (1,(6# 1#(,472
2.11 (1,776 1(#,2(1
2.21 (1,5#4 207,0('
2.'0 (1,'(2 215,#76
2.40 (1,200 224,640
2.50 (1,00# 2'','#6
2.5( (0,#16 242,114
2.6( (0,624 250,#2'
2.7# (0,4'2 25(,51'
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2.## (0,240 26#,1#6
2.(# (0,04# 276,#'(
'.07 #(,#56 2#5,475
'.17 #(,664 2(4,0(2
'.26 #(,472 '02,6(0
'.'6 #(,2#0 '11,270
'.46 #(,0## '1(,#'2'.55 ##,#(6 '2#,'75
'.65 ##,704 ''6,(00
'.74 ##,512 '45,406
'.#4 ##,'20 '5',#(4
'.(4 ##,12# '62,'64
4.0' #7,('6 '70,#15
4.1' #7,744 '7(,24#
4.22 #7,552 '#7,662
4.'2 #7,'60 '(6,05#
4.42 #7,16# 404,4'54.51 #6,(76 412,7(4
4.61 #6,7#4 421,1'4
4.70 #6,5(2 42(,456
4.#0 #6,400 4'7,760
4.(0 #6,20# 446,045
4.(( #6,016 454,'12
5.0( #5,#24 462,560
5.1# #5,6'2 470,7(0
5.2# #5,440 47(,002
5.'# #5,24# 4#7,1(5
5.47 #5,056 4(5,'6(
5.57 #4,#64 50',525
5.66 #4,672 511,66'
5.76 #4,4#0 51(,7#2
5.#6 #4,2## 527,##'
5.(5 #4,0(6 5'5,(66
6.05 #',(04 544,0'0
6.14 #',712 552,075
6.24 #',520 560,102
6.'4 #','2# 56#,111
6.4' #',1'6 576,101
6.5' #2,(44 5#4,07'
6.62 #2,752 5(2,027
6.72 #2,560 5((,(62
6.#2 #2,'6# 607,#7#
6.(1 #2,176 615,776
7.01 #1,(#4 62',656
7.10 #1,7(2 6'1,517
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7.20 #1,600 6'(,'60
7.'0 #1,40# 647,1#4
7.'( #1,216 654,((0
7.4( #1,024 662,77#
7.5# #0,#'2 670,547
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7.7# #0,44# 6#6,0'07.#7 #0,256 6(',744
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#.'5 7(,2(6 7'2,0'6
#.45 7(,104 7'(,6'(
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#.(' 7#,144 777,'7(
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(.7( 76,416 #44,14(
(.#( 76,224 #51,475
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10.0# 75,#40 #66,074
10.1# 75,64# #7','45
10.27 75,456 ##0,5(#
10.'7 75,264 ##7,#''
10.46 75,072 #(5,04(
10.56 74,##0 (02,246
10.66 74,6## (0(,426
10.75 74,4(6 (16,5#6
10.#5 74,'04 (2',72(
10.(4 74,112 ('0,#5'
11.04 7',(20 ('7,(5#
11.14 7',72# (45,046
11.2' 7',5'6 (52,114
11.'' 7','44 (5(,164
11.42 7',152 (66,1(6
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11.52 72,(60 (7',210
11.62 72,76# (#0,205
11.71 72,576 (#7,1#1
11.#1 72,'#4 ((4,1'(
11.(0 72,1(2 1,001,07(
12.00 72,000 1,00#,000
12.10 71,#0# 1,014,(0'12.1( 71,616 1,021,7#7
12.2( 71,424 1,02#,65'
12.'# 71,2'2 1,0'5,501
12.4# 71,040 1,042,''0
12.5# 70,#4# 1,04(,140
12.67 70,656 1,055,('2
12.77 70,464 1,062,706
12.#6 70,272 1,06(,462
12.(6 70,0#0 1,076,1(#
1'.06 6(,### 1,0#2,(171'.15 6(,6(6 1,0#(,617
1'.25 6(,504 1,0(6,2(#
1'.'4 6(,'12 1,102,(62
1'.44 6(,120 1,10(,606
1'.54 6#,(2# 1,116,2''
1'.6' 6#,7'6 1,122,#41
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1'.#2 6#,'52 1,1'6,001
1'.(2 6#,160 1,142,554
14.02 67,(6# 1,14(,0##
14.11 67,776 1,155,60'
14.21 67,5#4 1,162,101
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14.40 67,200 1,175,040
14.50 67,00# 1,1#1,4#2
14.5( 66,#16 1,1#7,(06
14.6( 66,624 1,1(4,'11
14.7# 66,4'2 1,200,6(7
14.## 66,240 1,207,066
14.(# 66,04# 1,21',415
15.07 65,#56 1,21(,747
15.17 65,664 1,226,060
15.26 65,472 1,2'2,'54
15.'6 65,2#0 1,2'#,6'0
15.46 65,0## 1,244,###
15.55 64,#(6 1,251,127
15.65 64,704 1,257,'4#
15.74 64,512 1,26',550
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15.#4 64,'20 1,26(,7'4
15.(4 64,12# 1,275,(00
16.0' 6',('6 1,2#2,047
16.1' 6',744 1,2##,176
16.22 6',552 1,2(4,2#6
16.'2 6','60 1,'00,'7#
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16.61 62,7#4 1,'1#,542
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16.(0 62,20# 1,''6,541
16.(( 62,016 1,'42,504
17.0( 61,#24 1,'4#,44#
17.1# 61,6'2 1,'54,'74
17.2# 61,440 1,'60,2#2
17.'# 61,24# 1,'66,17117.47 61,056 1,'72,041
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17.66 60,672 1,'#',727
17.76 60,4#0 1,'#(,542
17.#6 60,2## 1,'(5,''(
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1#.05 5(,(04 1,406,#7#
1#.14 5(,712 1,412,61(
1#.24 5(,520 1,41#,'42
1#.'4 5(,'2# 1,424,047
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1#.5' 5#,(44 1,4'5,401
1#.62 5#,752 1,441,051
1#.72 5#,560 1,446,6#2
1#.#2 5#,'6# 1,452,2(4
1#.(1 5#,176 1,457,###
1(.01 57,(#4 1,46',464
1(.10 57,7(2 1,46(,021
1(.20 57,600 1,474,560
1(.'0 57,40# 1,4#0,0#0
1(.'( 57,216 1,4#5,5#2
1(.4( 57,024 1,4(1,066
1(.5# 56,#'2 1,4(6,5'1
1(.6# 56,640 1,501,(7#
1(.7# 56,44# 1,507,406
1(.#7 56,256 1,512,#16
1(.(7 56,064 1,51#,207
20.06 55,#72 1,52',5#0
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20.16 55,6#0 1,52#,('4
20.26 55,4## 1,5'4,270
20.'5 55,2(6 1,5'(,5##
20.45 55,104 1,544,##7
20.54 54,(12 1,550,16#
20.64 54,720 1,555,4'0
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21.02 5',(52 1,576,2(5
21.12 5',760 1,5#1,466
21.22 5',56# 1,5#6,617
21.'1 5','76 1,5(1,751
21.41 5',1#4 1,5(6,#66
21.50 52,((2 1,601,(62
21.60 52,#00 1,607,040
21.70 52,60# 1,612,10021.7( 52,416 1,617,141
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21.(# 52,0'2 1,627,16#
22.0# 51,#40 1,6'2,154
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22.27 51,456 1,642,070
22.'7 51,264 1,647,001
22.46 51,072 1,651,(1'
22.56 50,##0 1,656,#06
22.66 50,6## 1,661,6#2
22.75 50,4(6 1,666,5'#
22.#5 50,'04 1,671,'77
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2'.04 4(,(20 1,6#0,((#
2'.14 4(,72# 1,6#5,7#2
2'.2' 4(,5'6 1,6(0,546
2'.'' 4(,'44 1,6(5,2(2
2'.42 4(,152 1,700,020
2'.52 4#,(60 1,704,7'0
2'.62 4#,76# 1,70(,421
2'.71 4#,576 1,714,0('
2'.#1 4#,'#4 1,71#,747
2'.(0 4#,1(2 1,72','#'
24.00 4#,000 1,72#,000
24.10 47,#0# 1,7'2,5((
24.1( 47,616 1,7'7,17(
24.2( 47,424 1,741,741
24.'# 47,2'2 1,746,2#5
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24.4# 47,040 1,750,#10
24.5# 46,#4# 1,755,'16
24.67 46,656 1,75(,#04
24.77 46,464 1,764,274
24.#6 46,272 1,76#,726
24.(6 46,0#0 1,77',15#
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25.25 45,504 1,7#6,'46
25.'4 45,'12 1,7(0,706
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25.54 44,(2# 1,7((,'6(
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26.40 4',200 1,#'7,440
26.50 4',00# 1,#41,57#
26.5( 42,#16 1,#45,6(#
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26.7# 42,4'2 1,#5',##1
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27.07 41,#56 1,#66,01(
27.17 41,664 1,#70,02#
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27.'6 41,2#0 1,#77,((0
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27.55 40,#(6 1,##5,#7(
27.65 40,704 1,##(,7(6
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27.#4 40,'20 1,#(7,574
27.(4 40,12# 1,(01,4'6
2#.0' '(,('6 1,(05,27(
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2#.22 '(,552 1,(12,(10
2#.'2 '(,'60 1,(16,6(#
2#.42 '(,16# 1,(20,467
2#.51 '#,(76 1,(24,21#
2#.61 '#,7#4 1,(27,(50
2#.70 '#,5(2 1,('1,664
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2#.#0 '#,400 1,('5,'60
2#.(0 '#,20# 1,('(,0'7
2#.(( '#,016 1,(42,6(6
2(.0( '7,#24 1,(46,''6
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2(.2# '7,440 1,(5',562
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2(.57 '6,#64 1,(64,261
2(.66 '6,672 1,(67,7(1
2(.76 '6,4#0 1,(71,'02
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2(.(5 '6,0(6 1,(7#,270
'0.05 '5,(04 1,(#1,726
'0.14 '5,712 1,(#5,16'
'0.24 '5,520 1,(##,5#2
'0.'4 '5,'2# 1,((1,(#''0.4' '5,1'6 1,((5,'65
'0.5' '4,(44 1,((#,72(
'0.62 '4,752 2,002,075
'0.72 '4,560 2,005,402
'0.#2 '4,'6# 2,00#,710
'0.(1 '4,176 2,012,000
'1.01 '',(#4 2,015,272
'1.10 '',7(2 2,01#,525
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'1.'0 '',40# 2,024,(76
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'1.4( '',024 2,0'1,'54
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'1.6# '2,640 2,0'7,65#
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'1.#7 '2,256 2,04',###
'1.(7 '2,064 2,046,(75
'2.06 '1,#72 2,050,044
'2.16 '1,6#0 2,05',0(4
'2.26 '1,4## 2,056,126
'2.'5 '1,2(6 2,05(,140
'2.45 '1,104 2,062,1'5
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'2.64 '0,720 2,06#,070
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'2.#' '0,''6 2,07',('2
'2.(' '0,144 2,076,#'5
''.02 2(,(52 2,07(,71(
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''.12 2(,760 2,0#2,5#6
''.22 2(,56# 2,0#5,4''
''.'1 2(,'76 2,0##,26'
''.41 2(,1#4 2,0(1,074
''.50 2#,((2 2,0(',#66
''.60 2#,#00 2,0(6,640
''.70 2#,60# 2,0((,'(6''.7( 2#,416 2,102,1''
''.#( 2#,224 2,104,#51
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'7.15 21,6(6 2,1#6,'21
'7.25 21,504 2,1##,'(4
'7.'4 21,'12 2,1(0,450
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'7.44 21,120 2,1(2,4#6
'7.54 20,(2# 2,1(4,505
'7.6' 20,7'6 2,1(6,505
'7.7' 20,544 2,1(#,4#6
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'(.(4 16,12# 2,2'#,(72
40.0' 15,('6 2,240,511
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40.51 14,(76 2,247,('0
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40.70 14,5(2 2,250,76#
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41.47 1',056 2,261,'#5
41.57 12,#64 2,262,62(
41.66 12,672 2,26',#55
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41.76 12,4#0 2,265,062
41.#6 12,2## 2,266,251
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42.05 11,(04 2,26#,574
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45.7( 4,416 2,2((,125
45.#( 4,224 2,2((,5'(
45.(# 4,0'2 2,2((,('6
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46.0# ',#40 2,'00,'14
46.1# ',64# 2,'00,67'
46.27 ',456 2,'01,014
46.'7 ',264 2,'01,''7
46.46 ',072 2,'01,641
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47.2' 1,5'6 2,'0',410
47.'' 1,'44 2,'0',54#
47.42 1,152 2,'0',66#
47.52 (60 2,'0',770
47.62 76# 2,'0',#5'47.71 576 2,'0',(17
47.#1 '#4 2,'0',(6'
47.(0 1(2 2,'0',((1
4#.00 0 2,'04,000
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4#.1( %'#4 2,'0',(6'
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4#.'# %76# 2,'0',#5'
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4#.5# %1,152 2,'0',66#
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4#.(6 %1,(20 2,'0',07#
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4(.15 %2,'04 2,'02,67'
4(.25 %2,4(6 2,'02,442
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4(.44 %2,##0 2,'01,(26
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4(.6' %',264 2,'01,''7
4(.7' %',456 2,'01,014
4(.#2 %',64# 2,'00,67'
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50.02 %4,0'2 2,2((,('6
50.11 %4,224 2,2((,5'(
50.21 %4,416 2,2((,125
50.'0 %4,60# 2,2(#,6(2
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50.40 %4,#00 2,2(#,240
50.50 %4,((2 2,2(7,770
50.5( %5,1#4 2,2(7,2#2
50.6( %5,'76 2,2(6,775
50.7# %5,56# 2,2(6,24(
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51.17 %6,''6 2,2(',(64
51.26 %6,52# 2,2(','46
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51.46 %6,(12 2,2(2,056
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51.65 %7,2(6 2,2(0,6(2
51.74 %7,4## 2,2#(,(#2
51.#4 %7,6#0 2,2#(,254
51.(4 %7,#72 2,2##,50#52.0' %#,064 2,2#7,74'
52.1' %#,256 2,2#6,(60
52.22 %#,44# 2,2#6,15#
52.'2 %#,640 2,2#5,''#
52.42 %#,#'2 2,2#4,4((
52.51 %(,024 2,2#',642
52.61 %(,216 2,2#2,766
52.70 %(,40# 2,2#1,#72
52.#0 %(,600 2,2#0,(60
52.(0 %(,7(2 2,2#0,02(
52.(( %(,(#4 2,27(,0#0
5'.0( %10,176 2,27#,112
5'.1# %10,'6# 2,277,126
5'.2# %10,560 2,276,122
5'.'# %10,752 2,275,0((
5'.47 %10,(44 2,274,057
5'.57 %11,1'6 2,272,((7
5'.66 %11,'2# 2,271,(1(
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5'.#6 %11,712 2,26(,707
5'.(5 %11,(04 2,26#,574
54.05 %12,0(6 2,267,422
54.14 %12,2## 2,266,251
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54.'4 %12,672 2,26',#55
54.4' %12,#64 2,262,62(
54.5' %1',056 2,261,'#5
54.62 %1',24# 2,260,12'
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54.72 %1',440 2,25#,#42
54.#2 %1',6'2 2,257,542
54.(1 %1',#24 2,256,224
55.01 %14,016 2,254,###
55.10 %14,20# 2,25',5''
55.20 %14,400 2,252,160
55.'0 %14,5(2 2,250,76#55.'( %14,7#4 2,24(,'5#
55.4( %14,(76 2,247,('0
55.5# %15,16# 2,246,4#'
55.6# %15,'60 2,245,01#
55.7# %15,552 2,24',5'4
55.#7 %15,744 2,242,0'2
55.(7 %15,('6 2,240,511
56.06 %16,12# 2,2'#,(72
56.16 %16,'20 2,2'7,414
56.26 %16,512 2,2'5,#'#56.'5 %16,704 2,2'4,244
56.45 %16,#(6 2,2'2,6'1
56.54 %17,0## 2,2'1,000
56.64 %17,2#0 2,22(,'50
56.74 %17,472 2,227,6#2
56.#' %17,664 2,225,((6
56.(' %17,#56 2,224,2(1
57.02 %1#,04# 2,222,567
57.12 %1#,240 2,220,#26
57.22 %1#,4'2 2,21(,065
57.'1 %1#,624 2,217,2#7
57.41 %1#,#16 2,215,4(0
57.50 %1(,00# 2,21',674
57.60 %1(,200 2,211,#40
57.70 %1(,'(2 2,20(,(##
57.7( %1(,5#4 2,20#,117
57.#( %1(,776 2,206,227
57.(# %1(,(6# 2,204,'20
5#.0# %20,160 2,202,'(4
5#.1# %20,'52 2,200,44(
5#.27 %20,544 2,1(#,4#6
5#.'7 %20,7'6 2,1(6,505
5#.46 %20,(2# 2,1(4,505
5#.56 %21,120 2,1(2,4#6
5#.66 %21,'12 2,1(0,450
5#.75 %21,504 2,1##,'(4
5#.#5 %21,6(6 2,1#6,'21
5#.(4 %21,### 2,1#4,22(
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5(.04 %22,0#0 2,1#2,11#
5(.14 %22,272 2,17(,((0
5(.2' %22,464 2,177,#42
5(.'' %22,656 2,175,676
5(.42 %22,#4# 2,17',4(2
5(.52 %2',040 2,171,2(0
5(.62 %2',2'2 2,16(,06(5(.71 %2',424 2,166,#2(
5(.#1 %2',616 2,164,571
5(.(0 %2',#0# 2,162,2(5
60.00 %24,000 2,160,000
60.10 %24,1(2 2,157,6#7
60.1( %24,'#4 2,155,'55
60.2( %24,576 2,15',005
60.'# %24,76# 2,150,6'7
60.4# %24,(60 2,14#,250
60.5# %25,152 2,145,#4460.67 %25,'44 2,14',420
60.77 %25,5'6 2,140,(7#
60.#6 %25,72# 2,1'#,51#
60.(6 %25,(20 2,1'6,0'#
61.06 %26,112 2,1'',541
61.15 %26,'04 2,1'1,025
61.25 %26,4(6 2,12#,4(0
61.'4 %26,6## 2,125,('#
61.44 %26,##0 2,12','66
61.54 %27,072 2,120,777
61.6' %27,264 2,11#,16(
61.7' %27,456 2,115,542
61.#2 %27,64# 2,112,#(7
61.(2 %27,#40 2,110,2'4
62.02 %2#,0'2 2,107,552
62.11 %2#,224 2,104,#51
62.21 %2#,416 2,102,1''
62.'0 %2#,60# 2,0((,'(6
62.40 %2#,#00 2,0(6,640
62.50 %2#,((2 2,0(',#66
62.5( %2(,1#4 2,0(1,074
62.6( %2(,'76 2,0##,26'
62.7# %2(,56# 2,0#5,4''
62.## %2(,760 2,0#2,5#6
62.(# %2(,(52 2,07(,71(
6'.07 %'0,144 2,076,#'5
6'.17 %'0,''6 2,07',('2
6'.26 %'0,52# 2,071,010
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6'.'6 %'0,720 2,06#,070
6'.46 %'0,(12 2,065,112
6'.55 %'1,104 2,062,1'5
6'.65 %'1,2(6 2,05(,140
6'.74 %'1,4## 2,056,126
6'.#4 %'1,6#0 2,05',0(4
6'.(4 %'1,#72 2,050,04464.0' %'2,064 2,046,(75
64.1' %'2,256 2,04',###
64.22 %'2,44# 2,040,7#2
64.'2 %'2,640 2,0'7,65#
64.42 %'2,#'2 2,0'4,515
64.51 %'',024 2,0'1,'54
64.61 %'',216 2,02#,174
64.70 %'',40# 2,024,(76
64.#0 %'',600 2,021,760
64.(0 %'',7(2 2,01#,52564.(( %'',(#4 2,015,272
65.0( %'4,176 2,012,000
65.1# %'4,'6# 2,00#,710
65.2# %'4,560 2,005,402
65.'# %'4,752 2,002,075
65.47 %'4,(44 1,((#,72(
65.57 %'5,1'6 1,((5,'65
65.66 %'5,'2# 1,((1,(#'
65.76 %'5,520 1,(##,5#2
65.#6 %'5,712 1,(#5,16'
65.(5 %'5,(04 1,(#1,726
66.05 %'6,0(6 1,(7#,270
66.14 %'6,2## 1,(74,7(5
66.24 %'6,4#0 1,(71,'02
66.'4 %'6,672 1,(67,7(1
66.4' %'6,#64 1,(64,261
66.5' %'7,056 1,(60,71'
66.62 %'7,24# 1,(57,147
66.72 %'7,440 1,(5',562
66.#2 %'7,6'2 1,(4(,(5#
66.(1 %'7,#24 1,(46,''6
67.01 %'#,016 1,(42,6(6
67.10 %'#,20# 1,('(,0'7
67.20 %'#,400 1,('5,'60
67.'0 %'#,5(2 1,('1,664
67.'( %'#,7#4 1,(27,(50
67.4( %'#,(76 1,(24,21#
67.5# %'(,16# 1,(20,467
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67.6# %'(,'60 1,(16,6(#
67.7# %'(,552 1,(12,(10
67.#7 %'(,744 1,(0(,104
67.(7 %'(,('6 1,(05,27(
6#.06 %40,12# 1,(01,4'6
6#.16 %40,'20 1,#(7,574
6#.26 %40,512 1,#(',6(46#.'5 %40,704 1,##(,7(6
6#.45 %40,#(6 1,##5,#7(
6#.54 %41,0## 1,##1,(44
6#.64 %41,2#0 1,#77,((0
6#.74 %41,472 1,#74,01#
6#.#' %41,664 1,#70,02#
6#.(' %41,#56 1,#66,01(
6(.02 %42,04# 1,#61,((1
6(.12 %42,240 1,#57,(46
6(.22 %42,4'2 1,#5',##16(.'1 %42,624 1,#4(,7((
6(.41 %42,#16 1,#45,6(#
6(.50 %4',00# 1,#41,57#
6(.60 %4',200 1,#'7,440
6(.70 %4','(2 1,#'',2#4
6(.7( %4',5#4 1,#2(,10(
6(.#( %4',776 1,#24,(15
6(.(# %4',(6# 1,#20,704
70.0# %44,160 1,#16,474
70.1# %44,'52 1,#12,225
70.27 %44,544 1,#07,(5#
70.'7 %44,7'6 1,#0',67'
70.46 %44,(2# 1,7((,'6(
70.56 %45,120 1,7(5,046
70.66 %45,'12 1,7(0,706
70.75 %45,504 1,7#6,'46
70.#5 %45,6(6 1,7#1,(6(
70.(4 %45,### 1,777,57'
71.04 %46,0#0 1,77',15#
71.14 %46,272 1,76#,726
71.2' %46,464 1,764,274
71.'' %46,656 1,75(,#04
71.42 %46,#4# 1,755,'16
71.52 %47,040 1,750,#10
71.62 %47,2'2 1,746,2#5
71.71 %47,424 1,741,741
71.#1 %47,616 1,7'7,17(
71.(0 %47,#0# 1,7'2,5((
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72.00 %4#,000 1,72#,000
72.10 %4#,1(2 1,72','#'
72.1( %4#,'#4 1,71#,747
72.2( %4#,576 1,714,0('
72.'# %4#,76# 1,70(,421
72.4# %4#,(60 1,704,7'0
72.5# %4(,152 1,700,02072.67 %4(,'44 1,6(5,2(2
72.77 %4(,5'6 1,6(0,546
72.#6 %4(,72# 1,6#5,7#2
72.(6 %4(,(20 1,6#0,((#
7'.06 %50,112 1,676,1(7
7'.15 %50,'04 1,671,'77
7'.25 %50,4(6 1,666,5'#
7'.'4 %50,6## 1,661,6#2
7'.44 %50,##0 1,656,#06
7'.54 %51,072 1,651,(1'7'.6' %51,264 1,647,001
7'.7' %51,456 1,642,070
7'.#2 %51,64# 1,6'7,121
7'.(2 %51,#40 1,6'2,154
74.02 %52,0'2 1,627,16#
74.11 %52,224 1,622,16'
74.21 %52,416 1,617,141
74.'0 %52,60# 1,612,100
74.40 %52,#00 1,607,040
74.50 %52,((2 1,601,(62
74.5( %5',1#4 1,5(6,#66
74.6( %5','76 1,5(1,751
74.7# %5',56# 1,5#6,617
74.## %5',760 1,5#1,466
74.(# %5',(52 1,576,2(5
75.07 %54,144 1,571,107
75.17 %54,''6 1,565,(00
75.26 %54,52# 1,560,674
75.'6 %54,720 1,555,4'0
75.46 %54,(12 1,550,16#
75.55 %55,104 1,544,##7
75.65 %55,2(6 1,5'(,5##
75.74 %55,4## 1,5'4,270
75.#4 %55,6#0 1,52#,('4
75.(4 %55,#72 1,52',5#0
76.0' %56,064 1,51#,207
76.1' %56,256 1,512,#16
76.22 %56,44# 1,507,406
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76.'2 %56,640 1,501,(7#
76.42 %56,#'2 1,4(6,5'1
76.51 %57,024 1,4(1,066
76.61 %57,216 1,4#5,5#2
76.70 %57,40# 1,4#0,0#0
76.#0 %57,600 1,474,560
76.(0 %57,7(2 1,46(,02176.(( %57,(#4 1,46',464
77.0( %5#,176 1,457,###
77.1# %5#,'6# 1,452,2(4
77.2# %5#,560 1,446,6#2
77.'# %5#,752 1,441,051
77.47 %5#,(44 1,4'5,401
77.57 %5(,1'6 1,42(,7''
77.66 %5(,'2# 1,424,047
77.76 %5(,520 1,41#,'42
77.#6 %5(,712 1,412,61(77.(5 %5(,(04 1,406,#7#
7#.05 %60,0(6 1,401,11#
7#.14 %60,2## 1,'(5,''(
7#.24 %60,4#0 1,'#(,542
7#.'4 %60,672 1,'#',727
7#.4' %60,#64 1,'77,#('
7#.5' %61,056 1,'72,041
7#.62 %61,24# 1,'66,171
7#.72 %61,440 1,'60,2#2
7#.#2 %61,6'2 1,'54,'74
7#.(1 %61,#24 1,'4#,44#
7(.01 %62,016 1,'42,504
7(.10 %62,20# 1,''6,541
7(.20 %62,400 1,''0,560
7(.'0 %62,5(2 1,'24,560
7(.'( %62,7#4 1,'1#,542
7(.4( %62,(76 1,'12,506
7(.5# %6',16# 1,'06,451
7(.6# %6','60 1,'00,'7#
7(.7# %6',552 1,2(4,2#6
7(.#7 %6',744 1,2##,176
7(.(7 %6',('6 1,2#2,047
#0.06 %64,12# 1,275,(00
#0.16 %64,'20 1,26(,7'4
#0.26 %64,512 1,26',550
#0.'5 %64,704 1,257,'4#
#0.45 %64,#(6 1,251,127
#0.54 %65,0## 1,244,###
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#0.64 %65,2#0 1,2'#,6'0
#0.74 %65,472 1,2'2,'54
#0.#' %65,664 1,226,060
#0.(' %65,#56 1,21(,747
#1.02 %66,04# 1,21',415
#1.12 %66,240 1,207,066
#1.22 %66,4'2 1,200,6(7#1.'1 %66,624 1,1(4,'11
#1.41 %66,#16 1,1#7,(06
#1.50 %67,00# 1,1#1,4#2
#1.60 %67,200 1,175,040
#1.70 %67,'(2 1,16#,5#0
#1.7( %67,5#4 1,162,101
#1.#( %67,776 1,155,60'
#1.(# %67,(6# 1,14(,0##
#2.0# %6#,160 1,142,554
#2.1# %6#,'52 1,1'6,001#2.27 %6#,544 1,12(,4'0
#2.'7 %6#,7'6 1,122,#41
#2.46 %6#,(2# 1,116,2''
#2.56 %6(,120 1,10(,606
#2.66 %6(,'12 1,102,(62
#2.75 %6(,504 1,0(6,2(#
#2.#5 %6(,6(6 1,0#(,617
#2.(4 %6(,### 1,0#2,(17
#'.04 %70,0#0 1,076,1(#
#'.14 %70,272 1,06(,462
#'.2' %70,464 1,062,706
#'.'' %70,656 1,055,('2
#'.42 %70,#4# 1,04(,140
#'.52 %71,040 1,042,''0
#'.62 %71,2'2 1,0'5,501
#'.71 %71,424 1,02#,65'
#'.#1 %71,616 1,021,7#7
#'.(0 %71,#0# 1,014,(0'
#4.00 %72,000 1,00#,000
#4.10 %72,1(2 1,001,07(
#4.1( %72,'#4 ((4,1'(
#4.2( %72,576 (#7,1#1
#4.'# %72,76# (#0,205
#4.4# %72,(60 (7',210
#4.5# %7',152 (66,1(6
#4.67 %7','44 (5(,164
#4.77 %7',5'6 (52,114
#4.#6 %7',72# (45,046
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#4.(6 %7',(20 ('7,(5#
#5.06 %74,112 ('0,#5'
#5.15 %74,'04 (2',72(
#5.25 %74,4(6 (16,5#6
#5.'4 %74,6## (0(,426
#5.44 %74,##0 (02,246
#5.54 %75,072 #(5,04(#5.6' %75,264 ##7,#''
#5.7' %75,456 ##0,5(#
#5.#2 %75,64# #7','45
#5.(2 %75,#40 #66,074
#6.02 %76,0'2 #5#,7#4
#6.11 %76,224 #51,475
#6.21 %76,416 #44,14(
#6.'0 %76,60# #'6,#04
#6.40 %76,#00 #2(,440
#6.50 %76,((2 #22,05##6.5( %77,1#4 #14,65#
#6.6( %77,'76 #07,2'(
#6.7# %77,56# 7((,#01
#6.## %77,760 7(2,'46
#6.(# %77,(52 7#4,#71
#7.07 %7#,144 777,'7(
#7.17 %7#,''6 76(,#6#
#7.26 %7#,52# 762,''#
#7.'6 %7#,720 754,7(0
#7.46 %7#,(12 747,224
#7.55 %7(,104 7'(,6'(
#7.65 %7(,2(6 7'2,0'6
#7.74 %7(,4## 724,414
#7.#4 %7(,6#0 716,774
#7.(4 %7(,#72 70(,116
##.0' %#0,064 701,4'(
##.1' %#0,256 6(',744
##.22 %#0,44# 6#6,0'0
##.'2 %#0,640 67#,2(#
##.42 %#0,#'2 670,547
##.51 %#1,024 662,77#
##.61 %#1,216 654,((0
##.70 %#1,40# 647,1#4
##.#0 %#1,600 6'(,'60
##.(0 %#1,7(2 6'1,517
##.(( %#1,(#4 62',656
#(.0( %#2,176 615,776
#(.1# %#2,'6# 607,#7#
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#(.2# %#2,560 5((,(62
#(.'# %#2,752 5(2,027
#(.47 %#2,(44 5#4,07'
#(.57 %#',1'6 576,101
#(.66 %#','2# 56#,111
#(.76 %#',520 560,102
#(.#6 %#',712 552,075#(.(5 %#',(04 544,0'0
(0.05 %#4,0(6 5'5,(66
(0.14 %#4,2## 527,##'
(0.24 %#4,4#0 51(,7#2
(0.'4 %#4,672 511,66'
(0.4' %#4,#64 50',525
(0.5' %#5,056 4(5,'6(
(0.62 %#5,24# 4#7,1(5
(0.72 %#5,440 47(,002
(0.#2 %#5,6'2 470,7(0(0.(1 %#5,#24 462,560
(1.01 %#6,016 454,'12
(1.10 %#6,20# 446,045
(1.20 %#6,400 4'7,760
(1.'0 %#6,5(2 42(,456
(1.'( %#6,7#4 421,1'4
(1.4( %#6,(76 412,7(4
(1.5# %#7,16# 404,4'5
(1.6# %#7,'60 '(6,05#
(1.7# %#7,552 '#7,662
(1.#7 %#7,744 '7(,24#
(1.(7 %#7,('6 '70,#15
(2.06 %##,12# '62,'64
(2.16 %##,'20 '5',#(4
(2.26 %##,512 '45,406
(2.'5 %##,704 ''6,(00
(2.45 %##,#(6 '2#,'75
(2.54 %#