Mechanical Properties Of Solids

Question 1

What’s longitudinal strain?

Answer 1

Change in length upon original length.

ΔL/L

Question 2

What is shear strain?

Answer 2

Displacement in tangential direction upon distance b/w layers.
shear strain= x/L

Question 3

What is volumetric strain?

Answer 3

Change in volume upon volume.

Vol. Strain = Δv/v

Question 4

Stress is a consequence of strain. How?

Answer 4

Deforming forces➡️deformation (strain)➡️restoring force (stress)

Question 5

What is stress?

Answer 5

Stress is the ratio of restoring force and area.

Stress= restoring force / area

Question 6

What does Poisson’s ratio represent?

Answer 6

Poissons ratio represents wrt to longitudinal deformation amount of lateral deformation.
[“Unit longitudinal deformation kelie lateral strain kitna aayega
Ya ye
Ke long deformation ke respest me lateral deformation kitna hai”]

Question 7

What is poissons ratio (σ)?

Answer 7

σ = (Δ d/d) / -(Δ L/L)
σ = Lateral strain/longitudinal strain

Question 8

Relationship b/w shear, bulk, longitudinal modulus is ?

Answer 8

Y=2S(1+σ)

And; Y=3B(1-2 σ)

Question 9

Elastic potential energy is equal to

Answer 9

½ stress.strain.vol.

Question 10

Elastic potential density is given by

Answer 10

U/V = ½ stress.strain

Question 11

Breaking stress is equal to

Answer 11

Weight/area

Question 12

Depression(δ) is equal to

Answer 12

δ = Wl³/4Ybd³

Question 13

Young’s modulus(Y) is equal to

Answer 13

Y=FL/A ΔL

Question 14

Volumetric stress =

Answer 14

Volumetric stress=ΣF⊥/A =ΔP

Question 15

What is Hooke’s law?

Answer 15

It states that stress is proportional to strain.
Stress ∝ strain
Stress=E strain
E = stress/strain

Question 16

Shear modulus (modulus of rigidity) is equal to

Answer 16

S = FL/xA

Question 17

Longitudinal stress =

Answer 17

Frest. ⊥/area

Question 18

Shear stress =

Answer 18

Frest. || upon area