Please wait...
Contact Us
Contact
Need assistance? Contact us on below numbers

For Enquiry

10:00 AM to 7:00 PM IST all days.

Business Enquiry (North)

Business Enquiry (South)

Business Enquiry (West & East)

OR

or

Thanks, You will receive a call shortly.
Customer Support

You are very important to us

For any content/service related issues please contact on this number

8788563422

Mon to Sat - 10 AM to 7 PM

Show that

1. Volumetric strain = 3×longitudinal strain

Asked by rushabh1234 2nd December 2019, 10:02 PM
Answered by Expert
Answer:
Let us assume a cube of length l is subjetced to volumetric stress.
 
Let Δl be the uniform change in all sides.
 
Change in volume ΔV = (l+Δl)3 - l3 = l3 + 3 l2 Δl + 3l (Δl)2 + (Δl)3 - l3 .................(1)
 
By neglecting higher order of Δl , we get ΔV = 3 l2 Δl 
 
Hence volume strain,  ΔV/V = ( 3 l2 Δl ) / l3 = 3 Δl/l
 
From above eqn., we say volume strain equlas 3 times of longitudinal strain
Answered by Expert 4th December 2019, 9:10 AM
Rate this answer
  • 1
  • 2
  • 3
  • 4
  • 5
  • 6
  • 7
  • 8
  • 9
  • 10

You have rated this answer /10

Your answer has been posted successfully!

Chat with us on WhatsApp