Question

prove that in elastic wire u/v = 1/2×stress×strain ​

Answer 1

Answer:

strain energy=

2

1

×stress×strain

Work done by a force on a wire

W =

2L

Ay(ΔL)

2

=

2

1

(

yA

L

ΔL

)ΔL

=

2

1

(y

L

ΔL

)(

L

ΔL

)(AL)

=

2

1

(stress)(strain)(volume)

(Work)/(volume)=

2

1

(stress)(strain)