Answered: thin rectangular polymer plate PQRS of…

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 thin rectangular polymer plate PQRS of width
b = 400 mm and height a = 180 mm is shown in
Figure P2.11. The plate is deformed so that
corner Q is displaced upward by c = 3.0 mm and
corner R is displaced leftward by the same
amount. Determine the shear strain at corner P
after deformation

Expert Solution

Step 1

To determine the shear strain at corner P.

Given,

Length (a) = 180 mm

Length (b) = 400 mm

Length (c) = 3 mm

The shear strain at corner of a rectangular plate can be given as the change in angle between the adjacent line segments at that corner.

Sign notation:

(+) : If the changed angle is less than 90^o

(-) : If the changed angle is greater than 90^o

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