Embed Size (px)
DESCRIPTION
Learn the basics of Mathcad.
Citation preview
x 6:=Areacircle r( ) π r
2⋅:=
text "tija jan is my name":=Areacircle 5( ) 78.54=
fun "this is me":=
Areacylinder r h, ( ) 2 π⋅ r⋅ h⋅ 2 π⋅ r2
⋅+:=a text x 5<if
fun otherwise
"this is me"=:=
Areacylinder 2 2, ( ) 50.265=
Angle angle 4 5, ( ) 51.34 deg⋅=:=
Angle 0.896=
Changing the ORIGIN of an array
ORIGIN 1:= Origin arry can be changed form tools(worksheet option)
and build-in variables(array origin)
0 1 2 3
0
1
Mat
20
5
9
13
2
6
10
14
3
7
11
15
4
8
12
16
:=2
3
Changing lement 1,1 of an array
Mat1 1,
1:=
Mat
1
5
9
13
2
6
10
14
3
7
11
15
4
8
12
16
=
Adding morre elements to the array
Mat5 1,
1:= Mat5 2,
1:= Mat5 3,
1:= Mat5 4,
1:= Mat5 5,
1:=
Mat1 5,
1:= Mat2 5,
1:= Mat3 5,
1:= Mat4 5,
1:= Mat5 5,
2:=
Mat
1
5
9
13
1
2
6
10
14
1
3
7
11
15
1
4
8
12
16
1
1
1
1
1
2
=
Mat6 6,
66:=
Mat
1
5
9
13
1
0
2
6
10
14
1
0
3
7
11
15
1
0
4
8
12
16
1
0
1
1
1
1
2
0
0
0
0
0
0
66
=
Range Variable
S1 1 2, 10..:= S2 1 0, 10−..:= S3 1 10..:=
the increment the decrease if no second value then it will be 1
S1
1
2
3
4
5
6
7
8
9
10
= S2
1
0
-1
-2
-3
-4
-5
-6
-7
-8
-9
-10
=
rijaS3
π S32
⋅:=
rijaS3
1
1
2
3
4
5
6
7
8
9
10
3.142
12.566
28.274
50.265
78.54
113.097
153.938
201.062
254.469
314.159
=
rija
3.142
12.566
28.274
50.265
78.54
113.097
153.938
201.062
254.469
314.159
=
ArrayS1
S12
1+:=
rija10 1,
314.159=
ArrayS1
2
5
10
17
26
37
50
65
82
101
=
Array
1
1
2
3
4
5
6
7
8
9
10
2
5
10
17
26
37
50
65
82
101
= Array10 1,
101=
k 1 4..:= n 1 4..:=
Ahmadk 2n+
k 2n+:=
Ahmad
1
1
2
3
4
5
6
7
8
9
10
11
12
0
0
3
4
5
6
7
8
9
10
11
12
=
Example Problem
Density 997.1kg
m3
:=
NetPressure d( ) Density g⋅ d⋅:=
g 9.807m
s2
=
Depths
1
2
4
5
7
17
33
m:=
kPa 1000 Pa⋅=
Pressures NetPressure Depths( ):=
Pressures
9.778
19.556
39.113
48.891
68.447
166.23
322.681
kPa⋅= Depths
1
2
4
5
7
17
33
m=
M
5kg
6lb
3mg
2oz
:= A
3m
s2
5ft
s2
2m
s2
4ft
s2
:=
F M A⋅ 19.217 N=:=
F1 M A⋅( )→
:=
F1
15
4.15
0
0.07
N=
F12 1,
4.15 N=
Mat
1
5
9
13
1
0
2
6
10
14
1
0
3
7
11
15
1
0
4
8
12
16
1
0
1
1
1
1
2
0
0
0
0
0
0
66
=
v Mat4⟨ ⟩
:=
v
4
8
12
16
1
0
=
Text max v( ) 16=:=
Text1 min v( ) 0=:=
Truncation and rounding function
Va1 3.49:= Va2 3.51:=
T1 floor Va1( ) 3=:= T1 floor Va2( ) 3=:=
T2 ceil Va1( ) 4=:= T2 ceil Va2( ) 4=:=
T3 trunc Va1( ) 3=:= T3 trunc Va2( ) 3=:=
T4 round Va1( ) 3=:= T4 round Va2( ) 4=:=
V1
1
2
3
4
:= V1∑ 10= Ctrl + 3 (Σ)
1
5
i
2i
∑=
62= 21
22
+ 23
+ 24
+ 25
+ 62=
y 1:= f y( ) 2y
:=
1
3
j
f y( )∑=
6= 23
23
+ 23
+ 24=
V1
1
2
3
4
=
V15 1,
5:=
V1
1
2
3
4
5
= Sum
1
3
L
V1 L⋅( )∑=
6
12
18
24
30
=:=
Using the Summation operator to calculate the total mass of a struccture
TopFloor 4:=
FirstFloor 1 TopFloor..:=
Volume
1400
1200
1200
1000
m3
:= Density
700
700
700
500
kg
m4
:=
TotalMass
FirstFloor
VolumeFirstFloor
DensityFirstFloor
⋅( )∑ 3.16 106
×kg
m=:=
Mn 1:= Mu 2:=
if Mn Mu> "Design is OK", "Design is Not OK", ( ) "Design is Not OK"=
Page223
Interpolation Function
vx1
2
:= vy4
8
:=
εx.T
0.125
0.25
:=
vx0.125
0.25
:= vy24.3
26.6
:=
linterp εx.T θT, , (
linterp vx vy, 0.2, ( ) 25.68=
Time
1
2
3
4
5
s:= Velocity
2.1
3.9
5.9
7.8
10.1
m
s:= xValues
1.5
2.2
0
6
s:=
IntResult linterp Time Velocity, xValues, ( )
3
4.3
0.3
12.4
m
s=:= IntResult
13
m
s=
MathCad Programing
0.5 Factor< 2.0<
Factor x( ) 2 x 2>if
x 0.5 x< 0.5<if
0.5 otherwise
:= F1 Factor 0.25( ) 0.5=:=
F2 Factor 1.0( ) 0.5=:=
F1 Factor 3( ) 2=:=
FS d( ) 1.5return d 3.5in≤if
1.4return d 4.5in≤if
1.3return d 5.5in≤if
1.2return d 6.5in≤if
1.1return d 7.5in≤if
1 otherwise
:= FS 6in( ) 1.2=
BB x y, ( ) "Both x and y is in the positive region" x 0> y 0>∧if
"x is in the positive region and y is in reganive" x 0> y 0<∧if
"x is in the negative region and y is in positive" x 0< y 0>∧if
"Both x and y is in the positive region" x 0< y 0<∧if
"x and y is in the origion" x 0= y 0=∧if
"Not acceptable" x 0= y∧ y 0= x 0≠∧∨if
:=
BB 1 1, ( ) "Both x and y is in the positive region"=
BB 1 1−, ( ) "x is in the positive region and y is in reganive"=
BB 1− 1, ( ) "x is in the negative region and y is in positive"=
BB 1− 1−, ( ) "Both x and y is in the positive region"=
BB 0 0, ( ) "x and y is in the origion"=
BB 0 1, ( ) "Not acceptable"= BB 1 0, ( ) "Not acceptable"= BB 0 1−, ( ) "Not acceptable"=
BB 1 1, ( ) "Both x and y is in the positive region"=
Test x y, ( )
100 y 0≥if
200 otherwise
x 0≥if
300 y 0≥if
400 otherwise
x 0<if
:=
Test 4− 2, ( ) 300=
i 1 2, 4..:= i
1
2
3
4
=
x
3
4
7−
10−
:= y
2
1−
3
2−
:=
Testi
100 "This is a comment line"
xi
0≥ yi
0≥∧
if
200 "Use this line for text"
xi
0≥ yi
0<∧
if
300 "Use this line for text"
xi
0≤ yi
0≥∧
if
400 otherwise
:=
Testi
100
200
300
400
=
Pass "Passes-Solution Works":=
Fails "Fails-Retry":=
p 1 2, 3..:= Result
5−
0
5
:=
Zero "Result is Zero":=
Tp
Pass Resultp
0>if
Fails Resultp
0<if
Zero otherwise
:= T1
"Fails-Retry"=
T2
"Result is Zero"=
T3
"Passes-Solution Works"=
Range Variable and Vectors
v stack 1 2, ( ):=
w stack 1 "a", 3, ( ):=
v1
2
=
w
1
"a"
3
=
Plotting a Range over a Log Scale
Low 0.001:= High 10000:= Intervals 20:=
Step
logHigh
Low
Intervals0.35=:= log
High
Low
7=
r 1 2, Intervals 1+( )..:=
Xr
Low 10r 1−( ) Step⋅
⋅:=
Function z( ) z:= s 0.00110000 0.001−
20, 10000..:=
s
-31·10
=
-31·10
500
999.999
31.5·10
32·10
32.5·10
33·10
33.5·10
34·10
34.5·10
35·10
35.5·10
36·10
36.5·10
37·10
...
1 104−
× 0.01 1 100 1 104
×
1 104−
×
1 103−
×
0.01
0.1
1
10
100
1 103
×
1 104
×
Function s( )
s
1 104−
× 0.01 1 100 1 104
×
1 104−
×
1 103−
×
0.01
0.1
1
10
100
1 103
×
1 104
×
Function X( )
X
Xr
-31·10
-32.239·10
-35.012·10
0.011
0.025
0.056
0.126
0.282
0.631
1.413
3.162
7.079
15.849
35.481
79.433
...
=
=
m 2kg:=
75kgf 165.347 lbf⋅=
v 200cm
s:=
65kgf 143.3 lbf⋅=
m v2
⋅
24 J⋅=
θT
24.3
26.6
:=
0.2, ) 25.68=
