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Strength of Materials Question Paper - Dec 17 - Civil Engineering (Semester 3) - Pune University (PU)
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Strength of Materials - Dec 17
Civil Engineering (Semester 3)
Total marks: 50
Total time: 2 Hours
INSTRUCTIONS
(1) Question 1 is compulsory.
(2) Attempt any three from the remaining questions.
(3) Draw neat diagrams wherever necessary.
1.a.
Determine the maximum weight W that can be supported by
two wires as shown in Fig. 1, if the stress in each wires
is 120 N/mm2
(6 marks)
00
1.b.
A beam of hollow rectangular section is subjected to a maximum
shear force of 50kN. Find the maximum shear stress. Also
draw the shear stress distribution across the section. Refer
Fis. 1.2
(6 marks)
00
Or
2.a
A circular rod ABC is subjected to axial compressive load of
50 kN, the part AB is hollow circular with external diameter
25 mm & internal diameter of 10 mm & length of 200 mm.
The part BC is solid circular with diameter of 25 mm & length
300 mm. Calculate total decrease in length of bar. Take
E = 200 kN/mm2 :
(6 marks)
00
2.b
The tension flange of cast iron I-Section beam is 240 mm
wide & 50 mm deep. The compression flange is 100 mm wide
& 20 mm deep whereas web is 300 mm × 30 mm. Find the
load per m run which can be carried over a 4 m span by
a simply supported beam. If maximum permissible stresses is
24 MPa. (Fig.4)
(6 marks)
00
3.a.
A hollow steel shaft transmits 200 kW of power at 180 rpm.
The total angle of twist in a length of 5 m of the shaft is
3º. Find the inner & outer diameter of the shaft if permissible
shear is 60 MPa. Take G = 80GPa
(6 marks)
00
3.b.
The stresses at a point in a component are 100 MPa(T) &
50 MPa(C). Determine the magnitude of the normal & shear
stresses on a plane inclined at an angle of 25º with tensile
stress. Also determine magnitude of the maximum intensity
of shear stress.
(6 marks)
00
or
4.a.
(i) Write the assumption for finding out the shear stress in
a circular shaft subjected to torsion.
(ii) The circular shaft of 30 mm diameter is running at 85
rpm. If the shear stress is not to exceed 35 MPa. Find
the power which can be transmitted by the shaft
(6 marks)
00
4.b.
A bar 10 mm in diameter gets stretched by 0.3 mm under
a gradually applied load of 800N. What stress will be induced
in the same bar if the same load falls from 80 mm on a
collar attached at the lower end of the bar ? Take E = 200 GPa.
(6 marks)
00
5.a.
A simply supported beam loaded & supported as shown in
figure. Draw SFD & BMD. Calculate maximum value of bending
moment. (Fig. 5)
(6 marks)
00
5.b.
The diagram shown in figure is the shear force diagram for
a beam which rests on two supports. No couple is acting on
a beam. Draw BMD & load diagram (Figure 6).
(7 marks)
00
or
6.a.
Draw SFD & BMD for the simply supported beam as shown
in fig. 7
(6 marks)
00
6.b.
The beam AD Simply supported at ends is having SFD as
shown in fig. 8 Draw loading diagram. Hence plot BMD
(7 marks)
00
7.a.
State the assumption made in Euler’s theory & derive the
expression for critical load for a column pinned at both its
end.
(6 marks)
00
7.b
(7 marks)
00
Or
8.a
A rectangular of width 140 mm & of thickness 120 mm carries
a point load of 180 kN at an eccentricity of 10 mm. Determine
the maximum & minimum stress at the base of column.
(6 marks)
00
8.b.
An aluminum tube of length 8 m is used as a simply supported
column with two ends hinged carrying 1.4 kN axial loads. If
outer diameter is 50 mm. Compute the inner one that would
provide factor of safety 2 against buckling. Use E = 70 GPa
for aluminum.
(7 marks)
00
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