A circular timber beam 250 millimeters in diameter has a simple span of 4m. The beam carries a uniformly distributed load of w (kN/m) including its own weight. The allowable stresses are 18 Mpa for bending and 2 Mpa for shear parallel to the grain. Allowable deflection is 1/240 of the span length, E=6000 Mpa.What is the value of “w” so that the allowable shearing stress will not be exceeded?What is the value of “w” so that the allowable bending stress will not be exceeded. Hint: Convert the circular section to square section having the same area?What is the value of “w” so that the allowable deflection will not be exceeded?

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Answered: What is the value of “w” so that the…

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 circular timber beam 250 millimeters in diameter has a simple span of 4m. The beam carries a uniformly distributed load of w (kN/m) including its own weight. The allowable stresses are 18 Mpa for bending and 2 Mpa for shear parallel to the grain. Allowable deflection is 1/240 of the span length, E=6000 Mpa.

What is the value of “w” so that the allowable shearing stress will not be exceeded?
What is the value of “w” so that the allowable bending stress will not be exceeded. Hint: Convert the circular section to square section having the same area?
What is the value of “w” so that the allowable deflection will not be exceeded?

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