Subject-engineerspride.org/wp-content/uploads/SOM-RPSC-AEn-2018-Mains-CH1.pdf · Q.15 Explain the relation between linear and shear strain. RAS(Mains)-2008 (05 Marks) ----- Q.16 A

Potential Conventional Questions (PCQs) for Rajasthan

Public Service Commission AEn (Mains)-2018 Examination (Selected after in depth analysis of UPSC CSE, ESE, IFS, SSC-JE, Various State AEn/JEn + several PCQs are also

framed by IES-B.CHAND SIR himself for the welfare of needy students)

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Subject- Strength of Materials/Solid Mechanics/Mechanics of Solids






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Syllabus Analysis

CH1 Basics of SOM/Simple Stress and Simple Strains/Stress-Strain

Curves/Elastic Constants

CH2 CG & MOI

CH3 SFD & BMD

CH4 Deflection of Beams

CH5 Transformation of Stresses/Principles Stresses/Mohr’s Circle/Theories of

Failure

CH6 Bending Stress

CH7 Shear Stress

CH8 TORSION

CH9 SPRINGS (Not in the syllabus of RPSC AEn/Mains 2018 😊)

CH10 Combined Stress

CH11 Columns

CH12 Pressure Vessels






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Note (RPSC AEn-2018 Mains aspirants)-

(2 Marks=15 Words

5 Marks=50 Words

20 Marks=200 Words)

Generally, one line consists of 5 words 😊






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(Note- Only highly suitable conventional questions of

IAS, IFS, IES and SSC-JE have been included after in

depth analysis. These conventional questions have got

highest probability for RPSC AEn/Mains-2018

examination point of view. Apart from these questions

IES B Chand also have framed many suitable potential

questions for RPSC AEn Mains/2018)






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(CH1 Basics of SOM/Simple Stress and Simple

Strain/Stress-Strain Curves/Elastic Constants)






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Q.1 Give the interrelationship between modulus of elasticity (E), modulus of

rigidity (C) and bulk modulus of solids (K).

RPSC-AEN(Mains)-2013 (02 Marks)

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Q.2 Define Poisson's ratio of materials.


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Q.3 Define Hooke's law

RAS(Mains)-2012 (02 Marks)

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Q.4 Define 0.1% proof stress


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Q.5 What is the relation between Young's modules and Bulk modulus?


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Q.6 Define yield point.


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Q.7 What is the relation between modulus of rigidity (G) and modulus of

elasticity (E)?


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Q.8 Define modulus of shear resilience.


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Q.9 Define proof stress.


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Q.10 What is the relation between modulus of elasticity E and bulk modulus K?


Q.11 What do you understand by proof resilience?


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Q.12 What will be elongation of a rod due to its own weight?


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Q.13 Draw the stress-strain curve for mild steel and show the salient points.






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Q.14 A round bar of steel tapers uniformly from a diameter of 3.5 cm t0 2.5 cm

in a length of 50 cm. If an axial force of 35000 N is applied at each end, determine

the elongation of the bar, E =205 kN /mm2.


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Q.15 Explain the relation between linear and shear strain.


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Q.16 A prismatic bar of circular cross section is loaded by a direct tensile force

of 80 kN. The bar has length equal to 3 m and diameter as 40 mm. It is made of

metal with modulus of elasticity, E = 70 GPa and Poisson's ratio v = 1/3. Calculate

the elongation, the decrease in diameter and change in volume of the bar.


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Q.17 The tensile test has been performed on a 50 mm long steel tube having 18

mm external diameter and 12 mm internal diameter. The axial load of 2 KN

produced a stretch of 3.36x10-3 mm and a lateral contraction of the outer dia. Of

3.62x10-4 mm. Calculate young´s modules, Poisson´s ratio and the bulk modules

for the material.

SSC-JE(Mains)2004/15 Marks






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Q.18 A bar 40mm in diameter is subjected to a tensile force of 40,000 kg, the

extension of bar measured over a gauge length of 200 mm was 0.318 mm, the

decrease in diameter was found to be 0.02 mm. Calculate the values of

young´s module of elasticity and modules of rigidity of the material.


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Q.19 When a bar of certain material 40 cm square is subjected to an axial pull of

1,60,000N. The extension on a gauge length of 200 mm is 0.1 mm. Calculate

young´s modules, Poisson´s ratio, shear modules and bulk modules of this

material.


Q.20 A bar 40 mm in diameter is subjected to a tensile force of 40,000 kg. The

extension of bar measured over a gauge length of 200 mm was 0.318 mm. the

decrease in diameter was found to be 0.02 mm. Calculate values of young´s

modules of elasticity and modules of rigidity of the material.







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Q.21 A vertical tapered rod of length L has its diameter verifying linearly from

’d’ at lower end to D at the Upper end which has fixed support. Young’s modulus

of the material is E. Show that the elongation Of the rod at its lower end when

subjected to a longitudinal force F is given by 𝜹=4𝐹𝐿

𝜋𝑑𝐷𝐸.

[IES(Mains)10 marks:1996]/Medium Difficulty Level






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Q.22 A cylindrical piece of steel of 80 mm diameter and 120 mm long is

subjected to an axial compressive Force of 50,000 kg. Calculate the change in

volume of the piece if bulk modules= 1.7×106 kg/kg/cm2 and Poisson’s ratio= 0.3.

[IES(Mains) 10 marks: 1997] /Medium Difficulty Level

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Q.23 A steel rod circular in cross-section, tapers from 30 mm diameter to 15 mm

diameter over a length of 600 mm. find how much its length will increase under

a pull of 20 kN if Young’s modulus of elasticity =200kN/mm2. Derive the formula

based.


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Q.24 A steel specimen of 12 mm diameter extends by 6.31×10-2 mm over a gauge

length of 150 mm when subjected to an axial load of 10 kN. The same specimen

undergoes a twist of 0.5o and a length of 150 mm over a twisting moment of 10

N-m. Using the above data, determine the elastic constants E, µ, G and K.







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Q.25 A compound bar consists of a circular rod of steel of diameter 25 mm,

rigidly fitted into a copper tube of internal diameter 25 mm and thickness 2.5

mm. If the bar is subjected to an axial load of 100 kN, find the stresses developed

in the two materials. Given E8 = 2×105 N/mm and Eo =1.2×105 N/mm2.

[IES(Mains)10 marks: 2011] /Medium Difficulty Level

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Q.26 (i) Through stress-strain diagram of a ductile material explain: Yield stress,

Rupture strength and Proof stress. Also state how ductility is estimated.

(ii) A steel rod having a diameter of 40 mm is loaded as shown in fig. Assume E

200 kN/mm2Determine the deformation of the free end. Also evaluate the

distance 'X’ from the left end support to a point at which deformation is zero.

IAS(Mains)-2006 (6+14=20 MARKS) /Medium Difficulty Level






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Q.27 Find elongation of a bar of uniform cross-section area ‘A’ and ‘𝑙′ under

action of its own weight .The bar weight ‘w’ per unit length. E= Modulus of

elasticity. See figure below.

IFS-2002 (10 MARKS) /Medium Difficulty Level

Q.28 A 50 mm cube is subjected to uniform pressure of 200 MPa . When the

change in dimension between 2 parallel faces of cube is 0.025 mm. Determine

change in volume of cube 𝜇 =0.25.


A B C D

12 kN 10 kN 10 kN

R

1 m 1 m

2 m

W=w𝑙

𝑙






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Q.29 E=2 x 105 N/mm2

A member ABCD is subjected to concentrated loads as shown. Calculate

(i) Force P necessary for equilibrium

(ii) Total elongation of bar


Q.30 What are differences between Rigid and Deformable Materials?

(Framed by IES-B CHAND Sir for RPSC AEn Mains-2018/05 Makrs)

Top view

Top view

1000 mm 1000 mm 600 mm

600 mm2 1200 mm2

2400 mm2

600 kN 300

kN 150 kN

A B C D






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Q.31 Define the following terms-

(i)Axial Stress

(ii)Bearing Stress

(iii)Bending Stress

(iv) Direct Shear Stress

(v) Indirect Shear Stress







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Q.32 What do you mean by ‘State of Stress’? Make the sketch of 2D and 3D

state of Stress at a stressed point.


Q.33 Plot stress-strain curve of Mild Steel under Tension and Compression and

mark the salient points neatly.







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Q.34 What is Off-Set Method? Plot Stress-Strain Curve of Al/Cu.


Q.35 Define following terms and explain with the help of a sketch.

(i) Engineering Stress (ii)Engineering Strain (iii) True Stress (iv) True Strain


Q.35 Establish mathematical relationship between true stress and engineering

stress.







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Q.36 Drive mathematical relationship between true strain and engineering

strain.


Q.37 What do you mean by Elasticity and Plasticity?






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Q.38 Explain Creep and Stress relaxation with the help of neat sketch?


Q.39 Define Fatigue and Endurance Limit.


Q.40 What do you understand by Resilience and Modulus of resilience? Explain

with the help of a neat sketch.







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Q.41 What is toughness? Explain with the help of a sketch.

(Framed by IES-B CHAND Sir for RPSC AEn Mains-2018/05 Marks)

Q.42 Define Tenacity?


Q.43 What is HOOKE’s Law?


Q.44 What do you mean by a composite bar?


Q.45 Define Poisson’s Ratio and write down it’s value for important engineering

materials.


Q.46 What is Principle of Superposition and what is the use of it?







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Q.47 Drive relationship between K, E and Posson’s Ratio.


Q.48 Define- (i)Homogeneous Material, (ii)Isotropic Material, (iii)Anisotropic

Material, (iv)Orthotropic Material


Q.49 Explain St. Venant Prrinciple?


Q.50 What is a Visco-elastic Material?







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(Important Note- These 50 Conventional questions are of Ch-01 only of SOM. For

full version of PDF/ALL Chapters/ALL Subjects, Students can install Engineers Pride

Android APP. Engineers Pride is working really very hard for RPSC AEn Mains

Examination for the help of serious aspirants)

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Subject-engineerspride.org/wp-content/uploads/SOM-RPSC-AEn-2018-Mains-CH1.pdf · Q.15 Explain the relation between linear and shear strain. RAS(Mains)-2008 (05 Marks) ----- Q.16 A