Ex: For the T beam subjected to distributed load (W), shown in figure,, the beam material can resist compression stress (o) and tension stress (0,) and max. shearing stress of (t) shown in Table. What is the max. value of distributed load (W) can be applied ?

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.4.7P: A cantilever beam(Z, = 6 ft) with a rectangular cross section (/> = 3.5 in., h = 12 in.) supports an...
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Ex: For the T beam subjected to distributed load (W), shown in figure,, the beam
material can resist compression stress (o) and tension stress
(o,) and max. shearing stress of (t) shown in Table. What is the
max. value of distributed load (W) can be applied ?
W kN m
Given:
D
Case
Name
No.
(m)
(MPa) (MPa) MPa
A(mm) B(mm) C(mm) D(mm)
3
40
160
10
10
160
20
100
2
3.1
45
50
12
12
160
22
102
3
3.2
50
60
14
14
160
24
104
3.3
55
70
16
16
160
26
106
3.4
60
80
18
18
160
28
108
3.5
65
90
20
20
180
30
110
3.6
70
100
10
180
32
112
3.7
75
110
10
12
180
34
114
3.8
80
120
12
14
180
36
116
10
3.9
85
130
14
16
180
38
118
11
4
90
140
10
18
180
40
120
12
4.1
95
150
12
20
200
20
122
13
4.2
100
160
14
22
200
20
122
14
4.3
105
170
16
24
200
20
122
15
4.4
110
180
18
26
200
20
122
16
4.5
115
190
20
28
200
20
122
in
Transcribed Image Text:Ex: For the T beam subjected to distributed load (W), shown in figure,, the beam material can resist compression stress (o) and tension stress (o,) and max. shearing stress of (t) shown in Table. What is the max. value of distributed load (W) can be applied ? W kN m Given: D Case Name No. (m) (MPa) (MPa) MPa A(mm) B(mm) C(mm) D(mm) 3 40 160 10 10 160 20 100 2 3.1 45 50 12 12 160 22 102 3 3.2 50 60 14 14 160 24 104 3.3 55 70 16 16 160 26 106 3.4 60 80 18 18 160 28 108 3.5 65 90 20 20 180 30 110 3.6 70 100 10 180 32 112 3.7 75 110 10 12 180 34 114 3.8 80 120 12 14 180 36 116 10 3.9 85 130 14 16 180 38 118 11 4 90 140 10 18 180 40 120 12 4.1 95 150 12 20 200 20 122 13 4.2 100 160 14 22 200 20 122 14 4.3 105 170 16 24 200 20 122 15 4.4 110 180 18 26 200 20 122 16 4.5 115 190 20 28 200 20 122 in
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