The strain energy stored in a body of volume V due to shear strain ϕ is (shear modulus is G)
A
ϕ2V2G
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
GϕV22
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
ϕV2G
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
12Gϕ2V
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is D12Gϕ2V We know that, Shear modulus=Shear stressShear strain G=Shear stressϕ ⇒Gϕ=Shear stress
Now, Strain energy per unit volume=12×Shear stress×Shear strain ⇒Strain energyVolume(V)=12×Gϕ×ϕ ⇒Strain energy =12Gϕ2V