A beam of length 1.5 m has a rectangular cross section of width 50 mm and depth 200 mm. The beam is simply supported over a span of 1.0 m with an overhang of 0.5 m and carries a vertically downward load of 200 kN at the free end of the overhang. Calculate the deflection of the beam midway between the supports allowing for the effects of both bending and shear. Take E=200000 N/mm² and G=70000 N/mm². What percentage of the total deflection is due to shear? Ans. 1.03 mm upwards, 8.7%.

A beam of length 1.5 m has a rectangular cross section of width 50 mm and depth 200 mm. The beam is simply supported over a span of 1.0 m with an overhang of 0.5 m and carries a vertically downward load of 200 kN at the free end of the overhang. Calculate the deflection of the beam midway between the supports allowing for the effects of both bending and shear. Take E=200000 N/mm² and G=70000 N/mm². What percentage of the total deflection is due to shear? Ans. 1.03 mm upwards, 8.7%.

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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Question

A beam of length 1.5 m has a rectangular cross section of width 50 mm and depth 200 mm.
The beam is simply supported over a span of 1.0 m with an overhang of 0.5 m and carries a
vertically downward load of 200 kN at the free end of the overhang. Calculate the deflection of the
beam midway between the supports allowing for the effects of both bending and shear.
Take E= 200000 N/mm² and G=70000 N/mm². What percentage of the total deflection is due
to shear?
Ans. 1.03 mm upwards, 8.7%.

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