MECHANICS OF MATERIALS
11th Edition
ISBN: 9780137605521
Author: HIBBELER
Publisher: RENT PEARS
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Chapter 10.3, Problem 16P
Solve Prob.10−3 using Mohr’s circle.
10−3. The state of strain at the point on the pin leaf has components of εx = 200(10−6), εy = 180(10−6), and γxy = −300(10−6). Use the strain transformation equations and determine the equivalent in-plane strains on an element oriented at an angle of θ = 60° counterclockwise from the original position, Sketch the deformed element due to these strains within the x–y plane.
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For the state of a plane strain with εx, εy and γxy components: (a) construct Mohr’s circle and (b) determine the equivalent in-plane strains for an element oriented at an angle of 30° clockwise. εx = 255 × 10-6 εy = -320 × 10-6 γxy = -165 × 10-6
The state of plane strain on an element is represented by the following components:
Ex
=D340 x 10-6, ɛ, = , yxy
Ey
=D110 x 10-6,
3D180 x10-6
ху
Draw Mohr's circle to represent this state of strain.
Use Mohrs circle to obtain the principal strains and principal plane.
The state of strain at the point on the leaf of the caster assembly has components of P x = -400(10-6), Py = 860(10-6), and gxy = 375(10-6). Use the strain transformation equations to determine the equivalent in-plane strains on an element oriented at an angle of u = 30 counterclockwise from the original position. Sketch the deformed element due to these strains within the x–y plane.
Chapter 10 Solutions
MECHANICS OF MATERIALS
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