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QUESTION: 1

In the tension test of a bar the fractured surface shows a truncated cone, the material may be:

Solution:

QUESTION: 2

In the engineering stress-strain curve for mild steel, the Ultimate Tensile Strength (UTS) refers to

Solution:

The engineering stress-strain curve for mild steel is

Ultimate tensile strength represents the maximum stress that a material can withstand without Fracture.

QUESTION: 3

_______ is the capacity of material to absorb energy when it is elastically deformed and then upon unloading, to have this energy recovered.

Solution:

**Resilien****ce:** It is energy absorbed by a member in elastic region. It denotes the capacity of material to absorb energy when it is elastically deformed and then upon unloading, to release this energy.

**Toughness:** It is energy absorbed by member just before its fracture.

QUESTION: 4

The shear modulus of a material is half of its Young’s modulus. What is the value of its Poisson’s ratio?

Solution:

QUESTION: 5

A mild steel wire is 10 mm in diameter and 1 m long. If the wire is subjected to an axial tensile load 10 kN, find an extension of the road (Take E = 200 × 10^{9 }Pa) :

Solution:

QUESTION: 6

The ratio of strengths of solid to hollow shafts, both having outside diameter *D* and hollow having inside diameter *D*/2, in torsion, is

Solution:

QUESTION: 7

A simply supported beam is subjected to a uniformly distributed load. Which one of the following statements is true?

Solution:

For section AB

For equilibrium, ∑M_{0} = 0

For M to be maximum or minimum ⇒ dM/dx = 0

Hence dM/dx = V = 0

QUESTION: 8

A steel plate of side ‘a’ (2d) is enclosed in a closely fitting rigid support as shown. Assume friction between plate and support is zero. Determine the free expansion in x - direction of the plate due to heating by ΔT – (Poison ratio is μ & thermal co - eff. α)

Solution:

σ_{x }= 0

σ_{y} = −αTE

ε_{y} = −αT

ε_{x} = −με_{y }= μαT = δa/a

ϵ_{x} = Free expansion due to temperature change + Expansion due to lateral strain

= a α Δ T + μ a α Δ T (due to y direction)

= a α Δ T (1 + μ)

*Answer can only contain numeric values

QUESTION: 9

For a cylindrical bar of 30 mm dia& 900 mm length, during a tension test, it is found that longitudinal strain is 4 times of lateral strain. The bulk modulus for the bar is (X) × 10^{5} N/mm^{2} (if E = 3 × 10^{5} N/mm^{2}) The value if X is ___________

Solution:

E = 3 × 10^{5} N/mm^{2} & E = 3k (1 – 2μ).....(1)

From (1) we get K = E/3(1−2μ) [∴μ=0.25 given]

put μ=0.25 in equation 1,we get

k=2*10^{5}N/mm^{2}.

QUESTION: 10

A cantilever beam has the cross-section of an isosceles triangle and is loaded as shown in figure. If the moment of inertia of the cross-section I_{zz }= 1/36m^{4}, then the maximum bending stress is

Solution:

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