The deformation of the bar per unit length in the direction of the force is known as
- Alinear strainCorrect
- Blateral strain
- Cvolumetric strain
- Dshear strain
Solution
Concept
Definition of linear strain
Formula
NONE
Step-by-step solution
1. Strain is defined as the change in dimension per unit original dimension under applied force. 2. Deformation occurring per unit length along the longitudinal line of action of the applied force is called linear strain. 3. Lateral strain occurs perpendicular to the force direction, whereas volumetric strain involves volume changes. Answer: A
Explanation
Linear strain measures the proportional change in length of a structural element along the direction of an applied load. It is computed by dividing the axial elongation or shortening by the original length of the bar. Because deformation is measured per unit length parallel to the force, it is called linear strain.
Why the other options are wrong
B) Lateral strain is the strain perpendicular to the direction of the applied force. C) Volumetric strain represents the change in volume per unit original volume. D) Shear strain measures the change in angle between two mutually perpendicular planes.
Shortcut
Deformation along the direction of force = Linear strain.
Common mistake
Confusing linear strain along the force direction with lateral strain, which acts perpendicular to the applied load.
Correct answer: A) linear strain