Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN: 9781337093347
Author: Barry J. Goodno, James M. Gere
Publisher: Cengage Learning
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The composite beam in the following figure is
made of wood material (A) and steel material
(B).
h1
M
h2
b-150 mm
Take E1 = 12 GPa for material A, and E2 =200
GPa for material B, h1 = 150 mm, h2 = 40 mm,
and b = 150 mm.
a) Determine the transformation factor.
b) Determine the location of neutral axis
calculated from a reference axis located at the
bottom of the section.
c) Calculate the moment of inertia about the
neutral axis in mm4.
Part A and part B independent
Part A:
If the beam is subjected to a bending moment
of M = 4 kN.m.
a) Calculate the maximum compressive stress.
b) Calculate the maximum tensile stress.
Part B:
If the allowable bending stress of the wood is
10 MPa and that of steel is 200 MPa
a) Determine the maximum moment (M) that
can be applied.
0.06 16.67 20
0.6
36.38 mm 23.85 mm 37.45 mm
29.13 mm 10 mm
9357974.14
3342307.69
6238649.43 18715948.28
13277168.37
3.43 MPa 5.14 MPa 1.71 MPa 6.9 MPa
2.76 MPa 4.28 MPa 4.94 MPa 3.43 MPa
15.55 MPa 23.33 MPa 7.78 MPa
28.54 MPa 11.28 MPa
11.67 kN·m 7.78 kN·m 23.34 kN·m
5.79 kN·m 14.51 kN·m 8.09 kN-m
23.34 kN·m
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Transcribed Image Text:The composite beam in the following figure is made of wood material (A) and steel material (B). h1 M h2 b-150 mm Take E1 = 12 GPa for material A, and E2 =200 GPa for material B, h1 = 150 mm, h2 = 40 mm, and b = 150 mm. a) Determine the transformation factor. b) Determine the location of neutral axis calculated from a reference axis located at the bottom of the section. c) Calculate the moment of inertia about the neutral axis in mm4. Part A and part B independent Part A: If the beam is subjected to a bending moment of M = 4 kN.m. a) Calculate the maximum compressive stress. b) Calculate the maximum tensile stress. Part B: If the allowable bending stress of the wood is 10 MPa and that of steel is 200 MPa a) Determine the maximum moment (M) that can be applied. 0.06 16.67 20 0.6 36.38 mm 23.85 mm 37.45 mm 29.13 mm 10 mm 9357974.14 3342307.69 6238649.43 18715948.28 13277168.37 3.43 MPa 5.14 MPa 1.71 MPa 6.9 MPa 2.76 MPa 4.28 MPa 4.94 MPa 3.43 MPa 15.55 MPa 23.33 MPa 7.78 MPa 28.54 MPa 11.28 MPa 11.67 kN·m 7.78 kN·m 23.34 kN·m 5.79 kN·m 14.51 kN·m 8.09 kN-m 23.34 kN·m
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Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Cengage Learning