Download DBATU B-Tech 3rd Sem and 4th Sem 2018 Dec Mechanics of Solids Question Paper

Download DBATU (Dr. Babasaheb Ambedkar Technological University) B.Tech 3rd Sem and 4th Sem 2018 Dec Mechanics of Solids Question Paper

DR. BABASAHEB AMBEDKAR TECHNOLOGICAL UNIVERSITY, LONERE
End Semester Examination ? Winter 2018
Course: B. Tech. in Civil Engineering Sem: 111
Subject Name: Mechanics of Solids Subject Code: BTCVC302
Date: 03/12/2018 Max Marks: 60 Duration: 3 Hrs.
Instructions to the Students:
1. Solve AN Y FI VF questions out of the following.
2. The level question/expected answer as per OBE or the Course Outcome (CO) on which the
question is based is mentioned in () in front of the question.
3. Use ofnon-programmable scienti?c calculators is allowed.
4. Assume suitable data wherever necessaly and mention it clearly.
COs Marks
Q. 1 Solve Any Two of the following:
4) De?ne the following properties of materials: Elasticity, Ductility, and Brittleness. C01 (6)(?
B) A metal wire of diameter 3 mm is subjected to an axial tensile force of 2 kN. The extension C01 (6)
measured was 4 mm over a length of 1500 mm. Find the modulus of elasticity of the metal.
Using the calculated value of modulus of elasticity; ?nd the maximum axial tensile force
that can be applied on the wire if the strain is limited to 0.001.
C) A thin tyre made up of mild steel is to be shrunk on to a rigid wheel of 1200 mm diameter. C01 (6)
Calculate (i) internal diameter of tyre if the hoop stress is limited to 50 N/mmz, and (ii) the
least temperature to which the tyre must be heated above that of the wheel before it could
be slipped on. For the tyre the coef?cient of thermal expansion ((1) is 12 x 10?6 per ?C and
E = 2 x105 N/mmz.
Q.2 Solve the following.
\) Write the assumptions made in the the01y ofpure bending. C02 (4) (.
OR
A) Find the diameter of a solid shaft which will transmit 150 kW power at 200 rpm. if the C02: (4)
permissible shear stress is 60 N/mmz. Find also the length of shaft, if the permissible angle CO4
of twist is 1? over the entire length. Take, shear modulus = 80 x 103 N/mm2
B) A simply supported beam AB is 10 m long. It carries a unifonnly distributed load of 20 C02 (8)
kN/In over a distance of 5111 from the left end A, a clockwise moment of 50 kN?m at 5m
and a point load of 40 kN at a distance of 8 m from the left end A. Find shear force &
bending moment at important locations and draw S.F.D. and B.M.D for the beam
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Q.3
A)
B)
Q.4
13)
Q. 5
A)
13)
Q.6
A)
13)
Solve the following.
A masonry pillar square in section 600 mm x 600 mm is subjected to point load of 1800
kN at an eccentricity of 200 mm along one of the centroidal axis of cross section. Find the
stresses at four corners. Also determine the maximum eccentricity, if the permissible
tensile stress in masonry is limited to 2 N/mmz.
Find analytically Principal stresses and Principal planes for an element. The element is
subjected to two mutually perpendicular stresses 100 N/mm2 and 50 N/mm2 both tensile in
X and Y direction, respectively along with a shear stress of 30 N/mm2 (upwards on a plane
of 100 N/mm2 stress). Find also the maximum shear stress.
Solve the following.
Obtain an expression for maximum slope and de?ection for a simply supported beam
subjected to a central point load.
A simply supported beam AB of span 6 m is loaded with three point loads 50 kN, 100 kN,
and 50 kN each at 1 m, 3 in, and 5 m respectively from le?' support. Calculate the
de?ection under each load. Take, E = 2 x 105 N/mmz and I = 20 x 108 mm?.
Answer the following.
Obtain an expression for Euler?s critical load for a column hinged at both the ends.
Using Euler?s equation for long columns, determine the critical stresses for a compression
member of slendemess ratio 80, 120, 160, and 200. The compression member has
following end conditions (i) both ends hinged, and (ii) one end hinged and other end ?xed.
E = 2 x 105 N/mmz.
Answer the following.
Explain: The Rankine?s failure theory.
A circular bar is subjected to a tensile force of 20 kN along with a transverse shear force of
10 kN. Determine the diameter of bar using Maximum Principal Stress, Maximum
Principal Strain, and Maximum Shear Stress failure theory. Take: Yield strength = 250
MPa, factor of safety = 2, and Poisson?s ratio = 0.3
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CO4
c01,
C04
C03
C03
C04
C04
C01,
C04
C01,
C04
(6)
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(4)
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