Mechanics of Materials
11th Edition
ISBN: 9780137605460
Author: Russell C. Hibbeler
Publisher: Pearson Education (US)
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Chapter 10.5, Problem 22P
The strain at point A on the bracket has components εx = 300(10−6), εy = 550(10−6), γxy = −650(10−6), εz = 0, Determine (a) the principal strains at A in the x–y plane, (b) the maximum shear strain In the x-y plane, and (c) the absolute maximum shear strain.
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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 strain at the point on the gear tooth has
components €x = 850(106), €y = 480(106), Yxy =
650(106). Use the strain-transformation equations to
determine (a) the in-plane principal strains and (b) the
maximum in-plane shear strain and average normal strain.
In each case specify the orientation of the element and
show how the strains deform the element within the
x-y plane.
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.
Chapter 10 Solutions
Mechanics of Materials
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