Strength of Materials Marathon Quiz for ESE & GATE CE Exams

Question 1

A circular beam of 300 mm diameter is made up of a material having permissible stress 80 N/mm². The moment of resistance of the beam is

Question 2

If the length of the column is increased 5 times, the critical load becomes

Question 3

Match the items of list – _ and List – II for the Mohr’s circle shown below using the codes given below the lists:

P - Q - R - S

Question 4

A shaft with a circular cross section is subjected to pure twisting moment. The ratio of the maximum shear stress to the largest principal stess is

Question 5

A bar of steel has yield stress of 450 N/mm². It is acted by three principal stresses of 100 N/mm² (Tensile), 250 N/mm²(Tensile) and 150 N/mm² (Compressive). If the failure of the bar is analysed by Tresca’s theory, then the factor of safety for the bar is

Question 6

A rectangular beam 15cm wide is subjected to a maximum shear force of 45000 N. if the corresponding maximum shear stress is 4

, then the depth of beam is.

Question 7

What is the bending moment (in kN-m) at A for the bent column as shown in the figure given below?

Question 8Multiple Correct Options

An I-section is subjected to shear force. The shear stress is

Question 9

For a certain material, Poisson’s ratio (μ) = 0.3, then the ratio of bulk modulus(K) to the modulus of rigidity(G) is ________.

Question 10Multiple Correct Options

T-cross section beams under transverse shear loads are subjected to

Question 11

A prismatic bar of diameter 60 mm, length 2 m and 4 N/mm³ weight per unit volume is shown in figure. The deformation of prismatic bar at section P–P’ is………..mm, If the young’s modulus of material is E = 90 GPa.

Question 12

If the strain energy absorbed in a cantilever beam in bending under its own weight is `K' times greater than the strain energy absorbed in an identical simply supported beam in bending under its own weight, then the magnitude of 'K' is

Question 13

The shear force resisted by one glue junction per mm length inside if the shear force at the section is 2000 N is _________ N/mm [rounded to two decimal places]

Question 14

The reaction on the pin C for a beam as shown in the figure below is _____ wL N.
Length is in m.

Question 15

A stress-strain diagram of a material is shown in figure. First it is loaded upto point O (∈ = 0.04); then from point O there is unloaded upto point B. Given then modulus of elasticity E = 150 GPa

Calculate the plastic strain _________ × 10^–2

Question 16

A body is subjected to stresses as shown in the figure given below.

The FOS as per maximum principle strain theory if the yield stress of the material is 230 MPa and Poisson ratio of material is 0.38.
(assume plane stress condition)

Question 17

A cantilever beam of length 3 m is loaded as shown below in the figure.

Under this load, the moment at D will be _____ kN-m.

Question 18

A T beam is constructed such that its neutral axis passes through the junction point of flange and web. If the width of flange is twice the depth of web and thickness of both web and flange is 20 mm, the section modulus of the beam in compression is ____cm³.

Question 19

An overhang beam with UDL with BMD (bending moment diagram), Find the value of 'a' (in m) corresponding to this BMD as shown in figure ?

Question 20

A spherical vessel 1 m in diameter and 8 mm thick is filled with water under a pressure of 10 bar. The change in volume of the sphere in cubic centimeters is_____ .

(μ=0.25,E=200 GN/m² and assume material remains elastic)

Question 21

A beam of rectangular cross-section shown below is subjected to bending moment 10 kN-m causes tensile stress at the top fiber & compressive stress at the bottom fiber.

The tensile force in the hatched area will be _________ kN

Question 22

The strain gauge measurement of a steel plate indicate the principle strains are 0.003 and 0.001. What is the value of major principle stress in MPa? (E = 200 GPa, μ = 0.33)

Question 23Multiple Correct Options

In the arrangement as shown in the figure. The load acting at different point. The material has young’s modulus E = 150 GPa, P = 500 N

Given diameter of AB & CD 50 mm, diameter of BC is 80 mm.

Which of the following option is/are correct?

Question 24

A cantilever beam is subjected to uniform varying loading as shown in the figure below:

The resisting moment at end ‘O’ is . The value of k is

Question 25

What will be the shear centre(e) of a channel section (in mm) of uniform thickness knowing that b = 50 mm, h = 150 mm and t = 3mm.