An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 500 mm. The cross-sectional dimensions of the beam are b₁ = 33 mm, d₁ = 109 mm, b₂ = 20 mm, d₂ = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 11 MPa. Determine the largest moment M that can be applied as shown to the beam.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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An extruded polymer beam is subjected to a
bending moment M. The length of the beam is
L = 500 mm. The cross-sectional dimensions of
the beam are b₁ = 33 mm, d₁ = 109 mm, b₂ = 20
mm, d₂ = 20 mm, and a = 6.5 mm. For this
material, the allowable tensile bending stress is
16 MPa, and the allowable compressive
bending stress is 11 MPa. Determine the
largest moment M that can be applied as shown
to the beam.
b₂
a
M
B
A
Answer:
M =
L
d₂
N•m
b₁
d₁
Transcribed Image Text:An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 500 mm. The cross-sectional dimensions of the beam are b₁ = 33 mm, d₁ = 109 mm, b₂ = 20 mm, d₂ = 20 mm, and a = 6.5 mm. For this material, the allowable tensile bending stress is 16 MPa, and the allowable compressive bending stress is 11 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ a M B A Answer: M = L d₂ N•m b₁ d₁
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