Ans 2. To calculate the stress and strain experienced by the cylindrical steel rod follows these given steps :
1. Calculate the stress:
Frist of all any stress on metal is defined as the force (F) applied divided by the cross sectional area (A) of the rod .
Force (F) : 50kN =50,000N
Diameter (d): 0.1m
Radius (r): d/2= 0.1/2= 0.05m
Cross-section area (A) :πr²
A=π(0.05)²=π×0.0025=0.00785m²
Now calculate the stress:
Stress (sigma ) =F/A=50,000/0.00785=6,369,426Pa=6.37MPa
2. Calculate the strain:
Then strain can be calculated using Young's modulus( E )and stress (sigma ).
. Young's modulus (E)= 200GPa= 200×10⁹Pa
The formula for strain is :
strain= stress ÷ E
Strain = 6,369,426÷200×10⁹= 3.19×10–⁵
This is a dimensionless quantity.
Summary:
Stress=6.37MPa
Strain : 3.19×10–5
