A propped cantilever beam of length ? = 1 m, with an inner hinge at point B, carries a uniformly distributed load ?, as shown in Figure Q1 (a). The beam is made from a circular hollow section with an inner radius of ?? = 5 cm and a thickness of ? = 2 cm (refer to Figure Q1 (b)). The maximum allowable longitudinal stress of the beam is 150 N/mm2. Determine the reactions.Draw the shear force and bending moment diagrams, indicating key values.Compute second moment of area.Evaluate elastic section modulus.Calculate the maximum permissible uniformly distributed load.Draw the bending stress distribution across the section, indicating key values. yWRiАCL/3В2L/3Figure Q1 (a)Figure Q1 (b)

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Answered: A propped cantilever beam of length ? =…

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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A propped cantilever beam of length ? = 1 m, with an inner hinge at point B, carries a uniformly distributed load ?, as shown in Figure Q1 (a). The beam is made from a circular hollow section with an inner radius of ?? = 5 cm and a thickness of ? = 2 cm (refer to Figure Q1 (b)). The maximum allowable longitudinal stress of the beam is 150 N/mm2.

Determine the reactions.
Draw the shear force and bending moment diagrams, indicating key values.
Compute second moment of area.
Evaluate elastic section modulus.
Calculate the maximum permissible uniformly distributed load.
Draw the bending stress distribution across the section, indicating key values.

y
W
Ri
А
C
L/3
В
2L/3
Figure Q1 (a)
Figure Q1 (b)

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