Q. A strain gauge rosette that is attached to the surface of a stressed component gives 3 readings (ɛa = A, &b = B, &c = C). If the strain gauge rosette is of the Dº type (indicating the angle between each of the gauges), construct a Mohr's Strain Circle overleaf. You should assume that gauge A is aligned along the x-axis. Using the Mohr's Strain Circle calculate the: (i) principal strains (8₁, 82)? (ii) principal angles (1, 2)? You should measure these anticlockwise from the y-axis. (iii) maximum shear strain in the plane (ymax)?

Q. A strain gauge rosette that is attached to the surface of a stressed component gives 3 readings (ɛa = A, &b = B, &c = C). If the strain gauge rosette is of the Dº type (indicating the angle between each of the gauges), construct a Mohr's Strain Circle overleaf. You should assume that gauge A is aligned along the x-axis. Using the Mohr's Strain Circle calculate the: (i) principal strains (8₁, 82)? (ii) principal angles (1, 2)? You should measure these anticlockwise from the y-axis. (iii) maximum shear strain in the plane (ymax)?

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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Solid Mechanics

Engineering mechanics is a branch of science that deals with forces causing bulk motion in bodies and the effect that these forces cause on the bodies. Engineering mechanics does not deal with the internal changes that occur on account of these external forces. The internal effects in a body or a material under the action of external forces are studied in a new branch of science called solid mechanics, the strength of materials, or the mechanical behavior of engineering materials.

Question

A strain gauge rosette that is attached to the surface of a stressed component
gives 3 readings (ɛa = A, &b = B, &c = C). If the strain gauge rosette is of the Dº
type (indicating the angle between each of the gauges), construct a Mohr's Strain
Circle overleaf. You should assume that gauge A is aligned along the x-axis.
Using the Mohr's Strain Circle calculate the:
(i) principal strains (1, 2)?
(ii)
principal angles (1, 2)?
You should measure these anticlockwise from the y-axis.
(iii) maximum shear strain in the plane (ymax)?

Mohr's Strain Circle
A(me)
-200
B (me)
300
C (me)
160
D (degs)
45

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