Question
Figure 9.11 shows the strain-stress curve for a given material. What are (a) Young’s modulus and (b) approximate yield strength for this material?
Solution
(a)
It is clear from the given graph that for stress 150 × 106N/m2, strain is 0.002.
∴ Young’s modulus, Y = Stress / Strain
= 150 × 106 / 0.002
= 7.5 × 1010 Nm-2
Hence, Young’s modulus for the given material is 7.5 ×1010N/m2.
(b)
The yield strength of a material is the maximum stress that the material can sustain without crossing the elastic limit.
It is clear from the given graph,
The approximate yield strength of this material = 300 × 106 Nm/2
=3 × 108 N/m2.
It is clear from the given graph that for stress 150 × 106N/m2, strain is 0.002.
∴ Young’s modulus, Y = Stress / Strain
= 150 × 106 / 0.002
= 7.5 × 1010 Nm-2
Hence, Young’s modulus for the given material is 7.5 ×1010N/m2.
(b)
The yield strength of a material is the maximum stress that the material can sustain without crossing the elastic limit.
It is clear from the given graph,
The approximate yield strength of this material = 300 × 106 Nm/2
=3 × 108 N/m2.
