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
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
|
{
"metadata": {
"name": "",
"signature": "sha256:eb3a8ca85b2b3516ec190a12a8401ddf32d140498cd023be9bda6228b1754025"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "heading",
"level": 1,
"metadata": {},
"source": [
"Chapter 26: Closed Section Beams"
]
},
{
"cell_type": "heading",
"level": 2,
"metadata": {},
"source": [
"Example 26.3 Pg.No.693"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"from __future__ import division\n",
"from sympy import solve, symbols\n",
"import math\n",
"\n",
"\n",
"G=20000 #shear modulus (N/mm^2)\n",
"E=G/0.36 #young's modulus\n",
"tau=20 #torque (Nm/mm)\n",
"t=1\n",
"b=200\n",
"a=500\n",
"L=2500\n",
"A=800\n",
"\n",
"#torque at each support \n",
"T=20*5000/2\n",
"\n",
"mu=math.sqrt(8*G*t/(A*E*(b+a)))\n",
"\n",
"z=2500\n",
"F=-1.95/mu*math.cosh(mu*z)+1.75*z**2\n",
"\n",
"z=0 # at mid-span z=0\n",
"theta=10**(-8)*(1.95/mu*math.cosh(mu*z)-1.75*z**2+F)\n",
"print \"twist at mid-span = %1.3f rad = %1.2f degree\"%(theta,theta*180/math.pi)"
],
"language": "python",
"metadata": {},
"outputs": [
{
"output_type": "stream",
"stream": "stdout",
"text": [
"twist at mid-span = 0.108 rad = 6.20 degree\n"
]
}
],
"prompt_number": 13
},
{
"cell_type": "code",
"collapsed": false,
"input": [],
"language": "python",
"metadata": {},
"outputs": []
}
],
"metadata": {}
}
]
}
|
