A student wants to measure the strain at a particular point K on a loaded specimen, so she affixes a 45° strain rosette at point K and obtains the following results: €A = 390 μrad €B = 275 μrad Ec = 325 μrad After packing up and going home to analyse her results, she realises that the strain rosette was misaligned by 0 degrees CW (where a negative corresponds to CCW) from the x-y axes-ie. Gauge C is not parallel with the x-axis and is instead parallel with a different x' axis that is rotated by 0 degrees-where: 0 = 16 deg Instead of replacing the rosette and retaking measurements, the student realises she can use what she learned in ENGG2400 to find the strains she's interested in. 45° 45° a) Draw a diagram of the situation, showing both the x-y axes and the strain rosette. b) Calculate Exx, Eyy and Yxy. c) Calculate the maximum in-plane shear strain and the associated average normal strain. K X

A student wants to measure the strain at a particular point K on a loaded specimen, so she affixes a 45° strain rosette at point K and obtains the following results: €A = 390 μrad €B = 275 μrad Ec = 325 μrad After packing up and going home to analyse her results, she realises that the strain rosette was misaligned by 0 degrees CW (where a negative corresponds to CCW) from the x-y axes-ie. Gauge C is not parallel with the x-axis and is instead parallel with a different x' axis that is rotated by 0 degrees-where: 0 = 16 deg Instead of replacing the rosette and retaking measurements, the student realises she can use what she learned in ENGG2400 to find the strains she's interested in. 45° 45° a) Draw a diagram of the situation, showing both the x-y axes and the strain rosette. b) Calculate Exx, Eyy and Yxy. c) Calculate the maximum in-plane shear strain and the associated average normal strain. K X

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 student wants to measure the strain at a particular point K on a loaded specimen, so she affixes a 45° strain rosette at point K
and obtains the following results:
€A = 390 μrad
EB = 275 μrad
Ec = 325 prad
After packing up and going home to analyse her results, she realises that the strain rosette was misaligned by 0 degrees CW
(where a negative corresponds to CCW) from the x-y axes-ie. Gauge C is not parallel with the x-axis and is instead parallel
with a different x' axis that is rotated by 0 degrees-where:
0 = 16 deg
Instead of replacing the rosette and retaking measurements, the student realises she can use what she learned in ENGG2400 to find
the strains she's interested in.
b
45°
45°
a) Draw a diagram of the situation, showing both the x-y axes and the strain rosette.
b) Calculate Exx, Eyy and Yxy.
c) Calculate the maximum in-plane shear strain and the associated average normal strain.
I
X

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Step 1: Introducing Given Data

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Step 2: Calculate rosette strains

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Step 3: Calculate Strains at rotated angle

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Step 4: Calculate radius of mohrs circle (R)

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Step 5: Calculate normal strain & max in plane shear strain

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