Answered: Why are the Errors of the magnitude…

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

Why are the Errors of the magnitude certainly intolerable if one
attempts to use the shear formula to determine the shear stress in the flange?

Expert Solution

Step 1

The transverse loading on any member produces shear stresses in the member sections and bending stresses along the member span and sections. The magnitude of the shear stress and bending stress depends on the member location and characteristics. The shear stress at any given point can be determined by the following relation.

Where, τ=Shear stress at the point.

A= Cross-sectional area of the member.

y=Distance between the centroidal axis.

I=Moment of inertia of the member.

B=Width of member at that point.

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