Embed Size (px)
DESCRIPTION
cal
Citation preview
Calculation of safety factor guarding against joint opening
Bolts: 5/16-24 Stainless Steel socket head cap screws, 1 inch longOuter Wall Flange: stainless steelBeam tube flange: stainless steel
major diameter 0.3125 0.3125 0.3125 inchpitch 0.041666667 0.041667 0.041667pitch diameter 0.285436708 0.285437 0.285437 inchminor diameter 0.258373417 0.258373 0.258373 inchTensile stress area 0.058 0.058 0.058 sq inTensile stress per 1 inch-lb torque psi
boltsproof load 4.5 31500 31500 psiminimum tensile strength 5 35000 35000 psi
Torque (calc from tensile stress) 86.20689655 603448.3 603448.3 in-lbTorque (calc from tensile stress) 7.183908046 50287.36 50287.36 ft-lb
0.15 0.15 0.152500 1500 750 lb
0.3125 0.3125 0.3125 inchTorque from force reqmnt 117.1875 70.3125 35.15625 in-lb
preload stress 43103.44828 25862.07 12931.03
C 0.283833102 0.283833 0.283833kb 4233786.975 4233787 4233787
K torque coefficientFi preloadd major diam
stainless steel
stainless steel
km 10682679.59 10682680 10682680ld 0.5 0.5 0.5
P, external tensile load 3500 2000 1000 lb
factor of safety against joint separ 0.997373261 1.047242 1.047242
bolt circle diameter 10.5 10.5 10.5 inchnumber of bolts 36 36 36circumference 32.98672286 32.98672 32.98672 inchinches per bolt 0.916297857 0.916298 0.916298load for complete circle 126000 72000 36000 lbs
Stainless Steel socket head cap screws, 1 inch long
ld
15 inch od12 inch id
176.7146113.0973
63.61725 sq inch projected area, insulator15 psi
954.2588 lbs axial force due to vacuum
72 inch od12 inch id
4071.5049.765625
113.0973
3958.407 sq inch projected area, insulator18 psi
stainless steel
stainless steel
71251.32 lbs axial force due to vacuum
72205.58 total axial force on insulator bolts
18 72205.58
3 12829.486 24704.79 36579.92
12 48455.1415 60330.3618 72205.58
DesignWorks Bolted Joint Calculator4-Nov-02
TENSION CONNECTIONSUser-Specified Quantities CASE 1 CASE 2
major diameter,d (in) 0.313 0.375tensile stress area,At (in^2) 0.058 0.077unthreaded length in grip, ld (in) 0.125 0.063threaded length in grip, lt (in) 0.375 0.500bolt modulus, Eb (psi) 30,000,000 30,000,000clamped mat'l modulus, Em (psi) 10,000,000 10,000,000grip length, l (in) 1.00 1.00torque coeff., K 0.15 0.30bolt preload, Fi (lb) 850 200proof strength, Sp (psi) 33,000 85,000joint tensile load, P (lb) 1,500 1,000load factor, nl 1.50 2.00
Intermediate Computed Quantitiesbolt stiffness, kb (lb/in)= 3,708,254 4,246,935material stiffness, km (lb/in)= 2,858,619 3,671,138joint constant, C= 0.565 0.536major diameter area, Ad (in^2) 0.077 0.110proof load, Fp= (lb) 1,914 6,545
ResultsFor given Fi and At…Tensile stress in bolt due to Fi= (psi) 14,655 2,597
: For given K, Fi, d…Required torque= (in-lb) 40 23
For given Sp, At, Eb, Em, lt, ld, d, l, nl…For known P, Then min. preload should be= (lb) 643 5,472For known preload in single bolt, Then allowable P= (l 1,256 5,915
For given Sp, At, Fi, Eb, Em, lt, ld, d, l…Bolt load factor, nl= 1.256 11.830
For given Fi, P, At, Eb, Em, lt, ld, d, l…
(OK to modify blue values, black values are locked)
Factor of safety against joint separation, n= 0.247 0.093
For given Sp, At…Recommended preload for reused connections= (lb) 1,436 4,909Recommended preload for permanent connections= (lb 1,723 5,891
BOLT CIRCLESUser-Specified Quantities CASE 1 CASE 2
bolt circle diameter (in) 10.50 11number of bolts 36 13allowable load per bolt (lb) 1,255 2,000
Resultsinches per bolt (in) 0.92 2.66total joint tensile load (lb) 45,180 26,000
CASE 3 CASE 4 CASE 5 CASE 6 CASE 7 CASE 8 CASE 9 CASE 10 CASE 110.5000.0770.0630.500
35,000,00010,000,000
1.000.30500
85,0001,000
2.00
5,136,210 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!5,548,091 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0.481 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!0.196 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0006,545 0 0 0 0 0 0 0 0
6,494 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
75 0 0 0 0 0 0 0 0
5,584 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!6,287 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
12.575 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0.260 #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
4,909 0 0 0 0 0 0 0 05,891 0 0 0 0 0 0 0 0
CASE 3 CASE 4 CASE 5 CASE 6 CASE 7 CASE 8 CASE 9 CASE 10 CASE 1111 11 11 11 11 11 11 11 1113 13 13 13 13 13 13 13 13
2,000 2,000 2,000 2,000 2,000 2,000 2,000 2,000 2,000
2.66 2.66 2.66 2.66 2.66 2.66 2.66 2.66 2.6626,000 26,000 26,000 26,000 26,000 26,000 26,000 26,000 26,000
CASE 12 CASE 13 CASE 14 CASE 15 CASE 16 CASE 17 CASE 18 CASE 19 CASE 20
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.000 0.0000 0 0 0 0 0 0 0 0
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 0 0 0 0 0 0 0 0
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
#DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0! #DIV/0!
0 0 0 0 0 0 0 0 00 0 0 0 0 0 0 0 0
CASE 12 CASE 13 CASE 14 CASE 15 CASE 16 CASE 17 CASE 18 CASE 19 CASE 2011 11 11 11 11 11 11 11 1113 13 13 13 13 13 13 13 13
2,000 2,000 2,000 2,000 2,000 2,000 2,000 2,000 2,000
2.66 2.66 2.66 2.66 2.66 2.66 2.66 2.66 2.6626,000 26,000 26,000 26,000 26,000 26,000 26,000 26,000 26,000
