Two aluminum alloy plates (2) are attached to the sides of a wood beam (1). Dimensions for the composite cross section are b₁ = 86 mm, d₁ = 280 mm, b₂ = 9 mm, d₂ = 110 mm, and a = 85 mm. Determine the maximum bending stresses produced in both the wood beam and the aluminum plates if a bending moment of M₂ = +6300 N-m is applied about the z axis. Assume E₁ = 12.6 GPa and E₂ = 69 GPa. d₂ Part 1 N Answer: n = i b₁ (1) Calculate the modular ratio for the cross-section in order to transform the aluminum into an equivalent amount of wood. Save for Later e Textbook and Media (2) d₁ ܟܒܢܫ Submit Answer

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question

Part 1,2,3,4

Two aluminum alloy plates (2) are attached to the sides of a wood beam (1). Dimensions for the composite cross section are b₁ = 86
mm, d₁ = 280 mm, b₂ = 9 mm, d₂ = 110 mm, and a = 85 mm. Determine the maximum bending stresses produced in both the wood
beam and the aluminum plates if a bending moment of M₂ = +6300 N-m is applied about the z axis. Assume E₁ = 12.6 GPa and E₂ = 69
GPa.
d₂
Part 1
N
Answer:
n = i
b₁
(1)
Calculate the modular ratio for the cross-section in order to transform the aluminum into an equivalent amount of wood.
Save for Later
e Textbook and Media
(2)
d₁
ܟܒܢܫ
Submit Answer
Transcribed Image Text:Two aluminum alloy plates (2) are attached to the sides of a wood beam (1). Dimensions for the composite cross section are b₁ = 86 mm, d₁ = 280 mm, b₂ = 9 mm, d₂ = 110 mm, and a = 85 mm. Determine the maximum bending stresses produced in both the wood beam and the aluminum plates if a bending moment of M₂ = +6300 N-m is applied about the z axis. Assume E₁ = 12.6 GPa and E₂ = 69 GPa. d₂ Part 1 N Answer: n = i b₁ (1) Calculate the modular ratio for the cross-section in order to transform the aluminum into an equivalent amount of wood. Save for Later e Textbook and Media (2) d₁ ܟܒܢܫ Submit Answer
Part 2
Calculate the transformed area moment of inertia about the horizontal centroidal axis.
Answer:
e Textbook and Media
Save for Later
Part 3
Calculate the magnitude of the maximum bending stress in the wood.
Answer:
Twood
e Textbook and Media
Save for Later
Part 4
mm4
eTextbook and Media
Save for Later
MPa
Calculate the magnitude of the maximum bending stress in the aluminum.
Answer:
Ž
MPa
Z
Submit Answer
Submit Answer
Submit Answer
Transcribed Image Text:Part 2 Calculate the transformed area moment of inertia about the horizontal centroidal axis. Answer: e Textbook and Media Save for Later Part 3 Calculate the magnitude of the maximum bending stress in the wood. Answer: Twood e Textbook and Media Save for Later Part 4 mm4 eTextbook and Media Save for Later MPa Calculate the magnitude of the maximum bending stress in the aluminum. Answer: Ž MPa Z Submit Answer Submit Answer Submit Answer
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