Download PTU (I.K.Gujral Punjab Technical University (IKGPTU)) B-Tech (Bachelor of Technology) (CE)- Civil Engineering 2020 December 3rd Sem 76371 Solid Mechanics Previous Question Paper
Total No. of Pages : 02
Total No. of Questions : 18
B.Tech. (CE) (2018 Batch) (Sem.?3)
SOLID MECHANICS
Subject Code : BTCE-302-18
M.Code : 76371
Time : 3 Hrs. Max. Marks : 60
INST RUCT IONS T O CANDIDAT ES :
1 .
SECT ION-A is COMPULSORY cons is ting of TEN questions carrying TWO marks
each.
2 .
SECT ION-B c ontains F IVE questions c arrying FIVE marks eac h and s tud ents
have to atte mpt any FOUR q ues tions.
3 .
SECT ION-C contains THREE questions carrying T EN marks e ach and s tudents
have to atte mpt any T WO questio ns.
SECTION-A
Write briefly :
1.
A simply supported beam AB of span 5m is subjected to a load of 50 kN at 2m from A.
Calculate reaction at B.
2.
A material has a Young's Modulus of 2 ? 105 N/mm2 and Poisson Ratio of 0.25.
Calculate Bulk Modulus.
3.
Show Mohr circle for a case when principal stresses are equal in magnitude. Major
Principal Stress is compressive and minor principal stress is tensile in nature.
4.
Write the expression for maximum deflection of a simply supported beam of span l
carrying a concentrated load W at the centre of the beam.
5.
Show the shear stress distribution for a typical rectangular section.
6.
What is the limitation of Euler's formula for calculating the crippling load on the
columns?
7.
A hollow circular shaft (outer diameter = 1.5 times the inner diameter) is subjected to a
bending moment M and torque T. What is the ratio of maximum bending stress to
maximum shear stress in the shaft?
8.
Write an expression for hoop stress in a thin cylinder closed at both ends and subjected to
inner fluid pressure. Indicate what the various notations stand for?
9.
Define strain and give its various types.
10. Differentiate between short and long column.
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SECTION-B
11. A steel bar of 50mm ? 50mm in section and 150 mm length is subjected to tensile load of
300 kN along the longitudinal axis and tensile load of 500 kN and compressive load of
400 kN on the lateral faces. Determine the change in dimension of bar and the change in
volume. Adopt Es = 2 ? 105N/mm2 and = 0.3.
12. At a certain point in a strained material, the intensities of normal stresses on two lanes at
right angle to each other are 20N/mm2 and 10 N/mm2, both tensile in nature. They are
accompanied by shear stresses of 10N/mm2. Find principal stresses and shear stress. Also
indicate the position of principal planes.
13. A beam 200 mm deep of symmetrical section has I = 8 ? 107 mm4 and is simply
supported over a span of 8m. Calculate (i) the UDL it may carry (ii) the concentrated load
it may carry at the centre if maximum bending stress is not to exceed 100 N/mm2.
14. A gas is to be contained under a pressure of 20MPa. in a spherical vessel and its
compressed volume will be 2 ? 109 mm3. Determine the diameter of the spherical vessel
when it is empty. Take allowable stress = 150 MPa, E = 2 ? 105 MPa and Poisson's
ratio = 0.3.
15. A hollow shaft having an inside diameter 60% of its outer diameter is to replace a solid
shaft transmitting the same power at the same speed. Calculate the percentage saving of
material. The material to be used is same in solid as well as hollow shaft.
SECTION-C
16. A simply supported beam ABC with supports at A and B, 6m apart and with an overhang
BC 2m carries a uniformly distributed load of 15kN/m over the whole length (8m). Draw
SFD & BMD for the beam. Locate point of contra flexure, if any. Also compute point of
zero shear force.
17. Illustrate the use of Macaulay's method with the help of examples.
18. Derive an expression for crippling load for a long column when both ends of the column
are hinged.
NOTE : Disclosure of Identity by writing Mobile No. or Making of passing request on any
page of Answer Sheet will lead to UMC against the Student.
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This post was last modified on 13 February 2021