Calculate the transverse strain (ɛz) and the longitudinal strain (ɛy). Calculate the Roisson's ratio 1)and the modulus of elasticity (E) of the material

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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A pressure force of P = 75 kN is applied to the rectangular prism shaped test sample with dimensions
a = 20 mm, b = 30 mm, c = 20 mm, within the limits of proportionality. After loading, the
measured changes in sample dimensions are Aa = -0.012 mm, Ab = 0.005 mm.
Calculate the normal stress (o,) on the prism.
Calculate the transverse strain (ɛz) and the longitudinal strain (ɛy).
Calculate the Poisson's ratio (v) and the modulus of elasticity (E) of the material.
Calculate the change in length (Ac), along the x -axis.
SOLUTION
Transcribed Image Text:A pressure force of P = 75 kN is applied to the rectangular prism shaped test sample with dimensions a = 20 mm, b = 30 mm, c = 20 mm, within the limits of proportionality. After loading, the measured changes in sample dimensions are Aa = -0.012 mm, Ab = 0.005 mm. Calculate the normal stress (o,) on the prism. Calculate the transverse strain (ɛz) and the longitudinal strain (ɛy). Calculate the Poisson's ratio (v) and the modulus of elasticity (E) of the material. Calculate the change in length (Ac), along the x -axis. SOLUTION
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