An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 600 mm. The cross-sectional dimensions of the beam are b₁ = 36 mm, d₁ = 112 mm, b₂ = 22 mm, d₂ = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 15 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ a a M T A L B d₂ b₁

An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 600 mm. The cross-sectional dimensions of the beam are b₁ = 36 mm, d₁ = 112 mm, b₂ = 22 mm, d₂ = 22 mm, and a = 7 mm. For this material, the allowable tensile bending stress is 15 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be applied as shown to the beam. b₂ a a M T A L B d₂ b₁

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Concept explainers

Combined Loading

Any functioning component, such as machine parts, structural members, pressure vessels, and so on, are all under the influence of more than one force. When anybody is under the influence of more than one force such as shear forces, bending moments, axial forces, torsion, and so on, then such body is said to be under combined loading. A very practical example of combined loading is the crankshaft of an internal combustion engine (IC engine). The crankshaft of the IC engine is under high rpm, which is caused due to the torsional forces. Due to the presence of piston, counterbalances, and internal imbalances, the crankshaft experiences lateral forces and due to the rise in temperature, the crankshaft undergoes thermal expansion, which pulls the crankshaft along the axial direction and lateral direction. The presence of unbalanced loads along the periphery of the crankshaft also induces a bending moment.

Question

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An extruded polymer beam is subjected to a bending moment M. The length of the beam is L = 600 mm. The cross-sectional
dimensions of the beam are b₁ = 36 mm, d₁ = 112 mm, b₂ = 22 mm, d₂ = 22 mm, and a = 7 mm. For this material, the allowable tensile
bending stress is 15 MPa, and the allowable compressive bending stress is 9 MPa. Determine the largest moment M that can be
applied as shown to the beam.
b₂
ak
ak
✓
a
M
B
L
A
Answer:
M = i
N•m
d₂

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