ESE CE : Solid Mechanics - Booster Quiz for ESE & GATE CE Exams

Question 1

Assertion (A): A hollow circular shaft has more power transmitting capacity than a solid shaft of same material and same weight per unit length.
Reason (R): In a circular shaft, shear stress developed at a point due to torsion is proportional to its radial distance from the centre of the shaft.

Question 2

In a circular shaft of diameter d, subjected to a torque T, the maximum shear stress inducted is

Question 3

A bar of Length L, area A and Young’s modulus E is subjected to a pulling force P. The strain energy stored in the bar is

Question 4

Proof resilience may be defined as _________.

Question 5

What is the expression for crippling load for a column of length L, with one end fixed and other end free?

Question 6

Circumferential and longitudinal strains in the cylindrical boiler under internal steam pressure are $Description: Description:ISROME2009_files\image135.png$ and $Description: Description:ISROME2009_files\image136.png$ respectively. Change in the volume of the boiler cylinder per unit will be

Question 7

For a material having modulus of elasticity equal to 208 GPa and Poisson’s ratio equal to 0.3,what is the modulus of rigidity?

Question 8

An element of a certain material in plane strain has

What is the maximum shearing strain?

Question 9

The beam shown in the figure given below is subjected to concentrated load and clockwise couple. What is the vertical reaction at A?

Question 10

Figure below shows a state of plane stress.

If the minimum principal stress is -7 MN/m² then what is the value of

?

Question 11

A mild steel rod tapers uniformly from 24 mm dia. To 12 mm dia. Over its length of 400 mm. The rod when held verticlal is subjected to an axial tensile load of 12 kN.
E = 2

10⁵ N/mm². The extension of the rod in mm would be

Question 12

For a block with Young’s Modulus of its material being 210 GPa and its Poisson’s Ratio being 0.25, when subjected to a stress system as shown in the figure , what is the magnitude of the stress

for no strain along AB?

Question 13

If a shaft rotates at 100 r.p.m. and is subjected to a torque of 3000 N-m, the power transmitted in kW would be

Question 14

A steel plate is bent into a circular arc of radius 10 m. If the plate section be 120 mm wide and 20 mm thick, with E=2

10⁵ N/mm²,then the maximum bending stress induced is

Question 15

What is the angle between principal strain axis and maximum shear strain axis?

Question 16

If there is a state of pure shear τ at a point then
1) The Mohr's circle is tangential to they-axis.
2) The center of the Mohr's circle coincides with the origin.
3) Unlike principal stresses are each numerically equal to τ.
4) Principal stresses are like.
Which of these statements is/are correct?

Question 17

A mild steel bar of square cross-section has a sectional area 200 mm². It is subjected to an axial force of 20 kN as shown in the below figure. The intensity of the normal tensile stress is N/mm² on the oblique plane 1-1 at 45 ° with the YY-axis which is normal to the longitudinal axis will be

Question 18

An electrical resistance strain rosette indicates strains of -400, +800 and +500 along the x, y and 45 ° axes. What is the shearing strain

?

Question 19

A simply supported beam AB is loaded as shown in the figure below.

What is the SF in kN in the portion AC of the beam?

Question 20

Statement (I): A simply supported beam AB of constant throughout, when subjected to pure terminal couples as shown in the figure, will bend into an arc of a circle.

Statement (II): Theory of simple bending establishes relationships from among M, f, R, y, E and I.