Remark regarding Problem:The relative importance of the strain energies UM in bending and US in shear loading of beams is influenced by the ratio of the length L of the beam to its depth h, by the shape of the cross section, and by the type of loading. The relative magnitudes of UM and US are examined in Problem, for given ratios of L/h and given cross sections. The simple beam in Figure P5.11 is made of steel (E = 200 GPa and G = 77.5 GPa) and has a rectangular cross section. Show that a. the length L must be greater than 17.6h for US < 0.01 UM, b. the length L must be greater than 7.9h for US < 0.05 UM.

Remark regarding Problem:The relative importance of the strain energies UM in bending and US in shear loading of beams is influenced by the ratio of the length L of the beam to its depth h, by the shape of the cross section, and by the type of loading. The relative magnitudes of UM and US are examined in Problem, for given ratios of L/h and given cross sections. The simple beam in Figure P5.11 is made of steel (E = 200 GPa and G = 77.5 GPa) and has a rectangular cross section. Show that a. the length L must be greater than 17.6h for US < 0.01 UM, b. the length L must be greater than 7.9h for US < 0.05 UM.

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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