ISRO Scientist or Engineer Mechanical Dec 2017

Instructions

For the following questions answer them individually

Question 11

Two dimensionally equal blocks made of material M1 and M2 are placed on flat horizontal surface as shown in figure below. Young’s modulus of the materials are El & E2 resp. A
uniform pressure ‘p’ is applied over the blocks through a thick plate (AB) symmetrically placed over the blocks. For E1 > E2, consider the statements below.

(p) Stress in both blocks are same
(q) Strain in both blocks are same
(r) Plate AB tilts and point B moves downward
(s) Plate AB tilts and point A moves downward
Which of the above sentencesare correct?

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Question 12

In tolerancing of a part, unless otherwise specified, individual features of size must

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Question 13

A horizontal bar AB assumedto be rigid, is supported by two wires CE & DF, having lengths L and 2L respectively and pinned at A. If each wire hascross sectional area A, the tensile stress $$\sigma_1$$ and $$\sigma_2$$ in wires CE and DF are respectively,

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Question 14

A 3 m long steel shaft has to transmit 7.5 kW at 3600 rpm. Required shaft diameter is given by (Take allowable shear stress = 100 N/mm$$^2$$, $$\pi^2 = 10$$)?

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Question 15

For thin cylindrical shell structures loaded in compression, the design is based on

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Question 16

Thefrictional shear stress ($$\tau$$) in metal forming is expressed as
where ‘m’is the friction shear factor and ‘$$\overline{\sigma}$$’ is the flow stress

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Question 17

Governing differential equation for small deflections of elastic beamsis given by

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Question 18

A point moves accordingto the relation $$x = 8t^2 \cos(\omega t), y = -4t^3 \sin(\omega t)$$, where x and y are in meters, and t in seconds. If angular velocity $$\omega = 8 \pi$$ rad/sec, velocity vector of the point at t = 0.5 sec is given by

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Question 19

A 10 mm thick plate-1 is welded to another plate-2 (10 mm thk) using fillet weld of thickness 10 mm,on two sides of plate-1 as shown in figure. Plate-1 projects outside plate-2 by 85 mm. An end load of 1 KN acts on plate-1. The primary shear stress produced in the weld throat is

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Question 20

Isochoric changesin ideal gas are characterized by

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