Strain Formula

 

The consequence of stress is what is termed as strain. The strain is the measure of how much distortion has befallen on the body compared to its initial shape due to the action of the force. It is denoted by ϵ.
Strain Formula is articulated as,

Stain Formula 1

Where,
Change in dimension = x,
Original dimension = L.
There are three sorts of strain
The longitudinal strain is the ratio of change in length to the original length.

Longitudinal Strain

Where,

Change in length = Δ l 
Original length = l
Shearing strain is the ratio of change in angle to which it is turned to its distance from the fixed layer.

Sheering Strain formula

Volumetric strain is the ratio of change in volume to the original volume. 

Volume Strain Formula

Where Δ V = Change in Volume,
V = Original volume.

Strain Solved Examples

Underneath are numerical founded on strain formula which might be useful for you.

Problem 1: An elastic band of length 5cm is stretched such that its length increases by 2mm. Compute the strain.
Answer:

Known:

x (Change in length) = 2mm,
L (Original length) = 5 cm

Strain Formula 2

= 2 x 10-3/5 x 10-2

Strain Formula 3

Problem  2: An iron bar 3m long is heated. It stretches by 0.5 mm. Compute the strain.
Answer:

Known:

x (Change in length)= 0.5 mm,
L (Original length) = 3m

Strain Formula 5
Strain Formula 6
Strain Formula 7

 

Leave a Comment

Your email address will not be published. Required fields are marked *