A metallic rod of 10mm dia. is bent into a circular form of radius 6 m. if the max. bending stress developed in the rod is 125 MPa, find the value of E for the rod material.
Answers
Answer:
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Explanation:
Answer:
1.5GPa
Explanation:
Step-by-step explanation:
Consider:
A rod of a circular cross-section of radius a. If the radius of bending is R, the strain at a distance y from the mid point of the cross-section of the rod is y/R.
The stress is:
s=Ey/R, where E is the Elastic constant.
This is maximum at y=a. s_max=Ea/R
E=(R/a)s_max=
Given :
a=5mm=5×10^-3 m; R=6m
s_max=125MPa
This gives:
E =(6/5)×10³×125Mpa =1.5GPa
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