The ratio between the change in volume and original volume of the body is called _______ strain
- ATensile
- BVolumetricCorrect
- CShear
- DCompressive
Solution
Concept
Definition of volumetric strain in solid mechanics
Formula
NONE
Step-by-step solution
1. Strain represents the deformation of a body relative to its original dimensions under applied stress. 2. Volumetric strain is defined as the change in volume per unit original volume of a body. 3. Mathematically, Volumetric Strain = (Change in Volume) / (Original Volume). Answer: B
Explanation
Volumetric strain is defined as the change in the total volume of a body divided by its initial volume when subjected to normal stresses. It represents the unit change in volume without altering the shape of the structural element. In contrast, tensile and compressive strains measure linear dimensional changes along a single axis.
Why the other options are wrong
A) Tensile strain is the ratio of change in length to original length under tensile force. C) Shear strain measures the angular deformation caused by shear stresses. D) Compressive strain is the ratio of decrease in length to original length under compressive force.
Shortcut
Change in Volume divided by Original Volume equals Volumetric strain.
Common mistake
Confusing volumetric strain with longitudinal or shear strain.
Correct answer: B) Volumetric