blob: a2b8da993bb6d547e5dad51ce66081ce17d1c1c2 (
plain)
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
|
clear
//Given
//
L = 15 //ft - The length of the each rod
A = 46.7 //sq.in - The length of the crossection
r_min = 4 //in - The radius of gyration
stress_yp = 36 //ksi - the yielding point stress
E = 29*(10**3) //ksi - The youngs modulus
C_c = ((2*(%pi**2)*E/stress_yp)**0.5) //Slenderness ratio L/R
C_s1 = L*12/r_min // Slenderness ratio L/R of the present situation
//According to AISC formulas
printf ("a)calculated Le/r ratio is %f",C_s1)
if (C_s1 <C_c) then
printf ("\n a)Since calculated Le/r ratio is less than Cc(126), we can apply the second ASD formula")
else
print ("The calculation is not possible")
end
F_S = 5.0/3 +3*C_s1/(8*C_c) -(C_s1**3)/(8*C_c**3) //Safety factor
Stress_all = (1 - (C_s1**2)/(2*C_c**2))*stress_yp/F_S //The allowable stress
printf("\n a) The allowable stress in this case is %0.2f kips",Stress_all)
printf("\n a) The allowable pressure in this case is %0.2f kips",Stress_all*A)
//Part - B
//Given
L = 40 //ft - The length of the each rod
A = 46.7 //sq.in - The length of the crossection
r_min = 4 //in - The radius of gyration
stress_yp = 36 //ksi - the yielding point stress
E = 29*(10**3) //ksi - The youngs modulus
C_c = ((2*(%pi**2)*E/stress_yp)**0.5) //Slenderness ratio L/R
C_s = L*12/r_min // Slenderness ratio L/R of the present situation
//According to AISC formulas
printf ("\n b)calculated Le/r ratio is %f",C_s)
if C_s <C_c then
printf("\n b)Since calculated Le/r ratio is less than Cc, we can apply the second ASD formula")
else
printf("The calculation is not possible")
end
F_S = 5.0/3 +3*C_s/(8*C_c) -(C_s**3)/(8*C_c**3) //Safety factor
Stress_all = (1 - (C_s**2)/(2*C_c**2))*stress_yp/F_S //The allowable stress
printf("\n b) The allowable stress in this case is %0.2f kips",Stress_all)
printf("\n b) The allowable pressure in this case is %0.2f kips",Stress_all*A)
printf("\n Similarly, for a column fixed at one end")
C_s = L*12/r_min*.8 // Slenderness ratio L/R of the present situation
//According to AISC formulas
printf ("\n b)calculated Le/r ratio is %f",C_s)
if C_s <C_c then
printf("\n b)Since calculated Le/r ratio is less than Cc, we can apply the second ASD formula")
else
printf("The calculation is not possible")
end
F_S = 5.0/3 +3*C_s/(8*C_c) -(C_s**3)/(8*C_c**3) //Safety factor
Stress_all = (1 - (C_s**2)/(2*C_c**2))*stress_yp/F_S //The allowable stress
printf("\n b) The allowable stress in this case is %0.2f kips",Stress_all)
printf("\n b) The allowable pressure in this case is %0.0f kips",Stress_all*A)
|
