Question

Shearing stress causes change in

(A) Length
(B) Breadth
(C) Shape
(D) Volume

Answer 1

Hint: Let's start with the meaning of stress and then shearing stress. After that try to find out the formula for the shearing stress and what are the values needed in order to find the shearing stress then compare all the information provided in the question with the formula and hence get the required answer.




Complete answer:
In physics, stress is defined as the force acting on a material's unit area. Strain is the term used to describe the effect of stress on the body. Stress can cause physical deformities. Stress units can be used to calculate how much force a material has experienced. Stress is classified into three types based on the direction of the deforming forces acting on the body.
Mathematically,
$Stress = \dfrac{{force}}{{area}}$
Now, When an object is subjected to an external force, it deforms. If the force's direction is parallel to the plane of the object, deformation will occur along that plane. The object here is subjected to shear stress or tangential stress.
Shear stress is caused by shear forces. They are of the same magnitude and reverse direction forces acting on opposite sides of a body. Shear stress is measured as a vector quantity. This means that, in addition to magnitude, the direction is also involved.
A deformation is a change in shape caused by the application of a force. Shear strain is a type of strain (or volume strain) caused by shear stress. However, the relationship between strain and stress does not have to be linear. Deformation occurs only when the stress is sufficiently low.
The correct option is (C).


Note:
Longitudinal stress occurs when the length of the body changes as a result of normal stress. Volume stress occurs when the volume of the body changes as a result of the stress. Thus, we need to take into consideration that length, breadth, and volume changes are not due to shearing stress.