Answered: Define the term load-displacement…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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Define the term load-displacement relations?

Expert Solution

Step 1

Load displacement relations give the relationship between the displacement caused by any load on any member. Load displacement relations are very Important and is they are studied before design of any mechanical member.

Some of the load displacement relations are:

$Elongation (dispalcement of bar) under self weight W is given by; \to δ = \frac{1}{2} \times \frac{WL}{AE} where, A = area of cross section of bar E = modulus of elasticity of bar L = length of bar$

Step 2

$Maximum displacement or deflection of a simply supported beam under point load W at its middle is given by : \to δ = \frac{1}{48} \times \frac{{WL}^{3}}{{EI}_{NA}} Where, L = length of beam E = Modulus of elasticity of beam material I_{NA} = Moment of inerta of beam about neutral axis .$

$Similarly, for a cantilever beam with point load at its free end, the maximum displacement of the beam is given by : \to δ = \frac{1}{3} \frac{{WL}^{3}}{{EI}_{NA}}$

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