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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

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

Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.5.9P: A seesaw weighing 3 lb/ft of length is occupied by two children, each weighing 90 lb (see figure)....
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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
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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