1.

Figure shows the strain-stress curve for a given material. What are (a) Young's modulus and (b) approximate yield strength for this material ?

Answer»

Solution :(a) From the given GRAPH for stress `150 xx 10 ^(6) Nm ^(-2)` corresponds strain is `0.002`
`therefore` Young.s modulus
,= SLOPE of graph stress `to` strain
`therefore` Young.s modulus
`Y= ("Stress")/("Strain") =(150 xx 10 ^(6))/(0.002)`
`therefore Y=7.5 xx 10 ^(8) Nm ^(-2)`
(b) From graphs the YIELD strength of a material is the maximum stress,
`= 300 xx 10 ^(6) Nm ^(-2)`
`= 3 xx 10 ^(8) Nm ^(-2)`
REALLY the yield strength is slightly less than `3 xx 10 ^(8) N m ^(-2)`


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