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Q 01 / 25
Stress is defined as restoring force per unit area of cross section.
Q 02 / 25
Strain has the same SI unit as stress.
Q 03 / 25
Within elastic limit, stress is directly proportional to strain for many solids.
Q 04 / 25
Young’s modulus is the ratio of longitudinal strain to longitudinal stress.
Q 05 / 25
Shear modulus is relevant only for solids because only solids have definite shape.
Q 06 / 25
Bulk modulus is defined using change in length of a wire under tension.
Q 07 / 25
In a tensile test on a metal wire, the initial straight-line part of the stress–strain curve is the region where Hooke’s law holds.
Q 08 / 25
The elastic limit is the maximum stress up to which the body returns completely to its original configuration when the load is removed.
Q 09 / 25
A material with larger Young’s modulus is always weaker than a material with smaller Young’s modulus.
Q 10 / 25
For the same material and same cross-sectional area, a longer wire gives larger extension under a given load than a shorter wire.
Q 11 / 25
If the lateral dimension of a stretched wire decreases, the phenomenon is described using Poisson’s ratio.
Q 12 / 25
A perfectly rigid body has finite Young’s modulus.
Q 13 / 25
The SI unit of all three elastic moduli (Young’s, shear, bulk) is the same as that of pressure.
Q 14 / 25
Ductile materials typically show a long plastic region on the stress–strain curve before fracture.
Q 15 / 25
Brittle materials generally possess a very large strain at fracture and a large plastic region.
Q 16 / 25
For the same material in the linear regime, doubling the diameter of a wire (keeping length and load same) halves the extension.
Q 17 / 25
In a beam under bending, the top and bottom layers are both under pure tension.
Q 18 / 25
For a given material and span, increasing the depth of a rectangular beam is more effective in reducing bending than increasing its breadth.
Q 19 / 25
Hydraulic press operation relies on the fact that fluids have a very small bulk modulus compared to solids.
Q 20 / 25
For a uniform rod of given material and volume, a hollow circular cross section can give higher bending strength than a solid circular cross section.
Q 21 / 25
The factor of safety is defined as the ratio of ultimate stress to working (or allowable) stress.
Q 22 / 25
Under the same tensile force, the stress developed in a wire is independent of its cross-sectional area.
Q 23 / 25
A material with higher Young’s modulus will always have higher shear modulus than a material with lower Young’s modulus.
Q 24 / 25
For a homogeneous isotropic material, knowledge of any two independent elastic constants is sufficient to determine the others.
Q 25 / 25
In the linear elastic regime of a homogeneous rod under axial load, the stored elastic potential energy per unit volume is \(\dfrac{1}{2}\sigma\varepsilon\).

Frequently Asked Questions

Mechanical properties describe how solids respond to applied forces, such as stretching, compressing, bending, or twisting.

Elasticity is the property of a material by which it regains its original shape and size after removal of the deforming force.

Elastic limit is the maximum stress up to which a material returns completely to its original dimensions when the force is removed.

Stress is the internal restoring force per unit area developed inside a material when an external force is applied.

Strain is the fractional change in dimension (length, volume, or shape) produced due to stress.

Stress = Force / Area

Strain = Change in dimension / Original dimension

Hooke’s law states that stress is directly proportional to strain within the elastic limit of a material.

Young’s modulus is the ratio of longitudinal stress to longitudinal strain.

Y = (Longitudinal stress) / (Longitudinal strain)

It indicates that the material is stiff and undergoes very little deformation under stress.

Bulk modulus is the ratio of volume stress to volume strain.

K = -?P / (?V / V)

Because an increase in pressure causes a decrease in volume.

Shear modulus is the ratio of shear stress to shear strain.
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