Question 2: The composite beam consists of a wood core and two plates of steel. If the allowable bending stress for the wood is (o)= 20MPai for the steel determine the maximum moment that can be applied to the beam. E =11G Pa, E = 200G Pa (0lle = 130MPA Take: A = 130 mm A mm B = 80 mm M 20 mm B mm 20 mm Solution: 200(10') =18.182 1100') The width of steel rpt be increased to an equivalent width for wood: mm ar |=-w idth (A) (10) m 12 Failure of wood: Mc (0. 0.5MA 20(10) M = kNm Failure of steel: nMc (O'mas (18.182)(0.5 MA) 130(10) = M = kNm Ans

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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1 Question 2:
2 The composite beam consists of a wood core and two plates of steel. If the allowable bending
3 stress for the wood is (ae = 20MPA1 for the steel
4 determine the maximum moment that can be applied to the beam.
E =11G Pa, E„ = 200G Pa
(o = 130MPA
5
6
7 Take:
A =
B = 80
8
130
mm
A mm
mm
10
11
M
12
20 mm
13
B mm
14
20 mm
15
16
17 Solution:
E 200(1o
n =
18
= 18.182
19
E.
1100)
20 The width of steel rpt be increased to an equivalent width for wood:
21
mm
22
23
| =-width (A) =
(10) m*
12
24
25 Failure of wood:
26
Mc
27
(O. ma
28
0.5MA
20(10 )=
29
M =
kNm
30
31 Failure of steel:
nMc
32
(o.)
ar 'man
33
(18.182)(0.5 MA)
34
130(10)=
M =
kNm
Ans
35
36
37
38
39
40
41
42
43
Transcribed Image Text:1 Question 2: 2 The composite beam consists of a wood core and two plates of steel. If the allowable bending 3 stress for the wood is (ae = 20MPA1 for the steel 4 determine the maximum moment that can be applied to the beam. E =11G Pa, E„ = 200G Pa (o = 130MPA 5 6 7 Take: A = B = 80 8 130 mm A mm mm 10 11 M 12 20 mm 13 B mm 14 20 mm 15 16 17 Solution: E 200(1o n = 18 = 18.182 19 E. 1100) 20 The width of steel rpt be increased to an equivalent width for wood: 21 mm 22 23 | =-width (A) = (10) m* 12 24 25 Failure of wood: 26 Mc 27 (O. ma 28 0.5MA 20(10 )= 29 M = kNm 30 31 Failure of steel: nMc 32 (o.) ar 'man 33 (18.182)(0.5 MA) 34 130(10)= M = kNm Ans 35 36 37 38 39 40 41 42 43
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