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ESE CE 2018 Achiever Study Plan: S.O.M Quiz 1

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Question 1

A close-coiled helical spring with n coils, mean radius R and diameter’ is subjected to an axial load W. What is the compression in spring?
(C = Shear Modulus)

Question 2

For the circular shaft AB, as shown in the figure below, a torque ‘T’ is applied at the section XX at C, such that b/a = 1.5. The shaft is uniform in section.

What is the ratio of

Question 3

If a shaft is turning at Nr.p.m. and the mean torque to which the shaft is subjected is T N-m, the power transmitted by the shaft in kW would be

Question 4

A 60 mm dia. Shaft is subjected to a torque of 6 kNm.

The maximum shear stress induced in the shaft in N/mm² will be

Question 5

The intensity of u.d.l. which when its acts over the entire span of 1 m of a cantilever beam of a rectangular cross-section of width 100 mm and depth 200 mm would produce a maximum shear stress of 1.5 N/mm² is

Question 6

The equivalent spring constant for the set up shown in the below figure, where EI = unity thoughout, is

Question 7

What is the radius of Mohr's circle in case of bi-axial state of stress?

Question 8

The details of the principal stresses at a certain point in a steel member are as follows :
Major principal stress σ₁=180N/mm² (Tensile)Minor principal stress σ₂ is Compressive.
If the uniaxial tensile yield stress is 240 N/mm², according to maximum shear stress theory, what would be the value of σ₂in N/mm²at which yielding will commence?

Question 9

A square element is subjected to principal stresses in N/mm² as shown in figure below. The intensity of normal stress σ_n on plane BD is

Question 10

In a strained material, the principal stresses in the X and Y directions respectively are 100 N/mm2 (Tensile) and 60 N/mm² (Compressive). On an inclined plane, the normal to which makes an angle of 30 ° to the X-axis, the major principal stress, in N/mm², would be

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ESE & GATE CE Geotechnical Engineering

Jul 14ESE & GATE CE