Answer this quesion please 10–26. The 60° strain rosette is attached to point A onthe surface of the support. Due to the loading the straingauges give a reading of e,= 300(10-6), €, = -150(10-6), and€. =- -450(10-6). Use Mohr's circle and determine (a) thein-plane principal strains and (b) the maximum in-planeshear strain and the associated average normal strain.Specify the orientation of each element that has these statesof strain with respect to the x axis.yrightb60°6013 Pear10Prob. 10-26gau

εa=300×10-6εb=-150×10-6εc=-450×10-6 normal…

Answered: 10-26. The 60° strain rosette is…

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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Answer this quesion please

10–26. The 60° strain rosette is attached to point A on
the surface of the support. Due to the loading the strain
gauges give a reading of e,= 300(10-6), €, = -150(10-6), and
€. =- -450(10-6). Use Mohr's circle and determine (a) the
in-plane principal strains and (b) the maximum in-plane
shear strain and the associated average normal strain.
Specify the orientation of each element that has these states
of strain with respect to the x axis.
yright
b
60°
60
13 Pear
10
Prob. 10-26
gau

Expert Solution

Step 1

$ε_{a} = 300 \times 10^{- 6} ε_{b} = - 150 \times 10^{- 6} ε_{c} = - 450 \times 10^{- 6}$

$n o r m a l s t r a i n : ε_{θ} = (\frac{ε_{x} + ε_{y}}{2}) + (\frac{ε_{x} - ε_{y}}{2}) \cos 2 θ + \frac{τ_{x y}}{2} \sin 2 θ p u t θ = 0^{°}, w e g e t ε_{a} = (\frac{ε_{x} + ε_{y}}{2}) + (\frac{ε_{x} - ε_{y}}{2}) ε_{a} = ε_{x} = 300 \times 10^{- 6} \to e q . 1$

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