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 load ‘P’ and total elongation of the bar. Refer
Figure 1.l. Assume E = 200 GPa.
(6 marks)
00
1.b.
A beam of cross section 100 mm × 200 mm is simply supported
at both ends. It carries two concentrated loads of 100 kN
each acting at 2 m distance from each support. Span of the
beam is 7 m. Determine the maximum bending stress induced
in the beam
(6 marks)
00
or
2.a.
A reinforced concrete column 500 mm × 500 mm in section
is reinforced with 4 steel bars of 25 mm diameter one in
each corner. The column is carrying a load of 1000 kN. Find
the stresses in the concrete and steel bars. Take E for steel
= 210 Gpa E for concrete = 14 GPa.
(6 marks)
00
2.b.
A timber beam of rectangular section is simply supported over a
span of 5 m and carries a uniformly distributed load of
3 kN/m over the entire span. If the maximum shear stress
is 7 MPa. If b = 2/3d, find value of b and d.
(6 marks)
00
3.a.
A solid aluminum shaft 100 mm diameter is to be replaced
by a hollow steel shaft havrng 100 mm outer diameter. The
two shafts have same angle of twist per unit torque over the
total length if shear modulus for steel = 3 × shear modulus
for aluminum. Find the inner diameter of the shaft.
(6 marks)
00
2.b.
Draw Mohr’s circle for :
(1) pure shear
(2) pure biaxial tension
(3) pure uniaxial compression
(4) pure uniaxial tension.
(6 marks)
00
Or
4.a.
A bar of 35 mm diameter stretches 3 mm under gradually
applied load of 65 kN. If a weight of 2 kN is dropped on
to a collar at the lower end of this bar through a height
of 40 mm. Calculate maximum instantaneous stress and elongation
of bar. Assume E = 200 GPa
(6 marks)
00
4.b.
A bar of steel is 80 mm in diameter and 550 mm long. A tensile load of 100 kN is found to stretch the bar by
0.25 mm. The same bar when subjected to a torque of 1.4
kNm is found to twist through 3º. Find the values of four
elastic constants
(6 marks)
00
5.b.
Draw SFD and BMD for a simply supported beam as shown
in figure 5.1.
(7 marks)
00
5.b.
Draw shearing force and bending moment diagram for the beam
as shown in Fig. 5.2. Make maximum BMD
(6 marks)
00
Or
6.a.
An overhang beam ABCDE is supported at A and D . DE = 1 m
overhang BC = CD = 1 m, AB = 2 m. Position AB is subjected
to UDL 16 kN/m. At C a point load of 20 kN is acting. At
E a point load 8 kN is acting. Draw SFD and BMD. Locate
point of contraflexure. Calculate maximum Bending
moment. Refer figure 6.1
(7 marks)
00
6.b.
The diagram shown in figure, shear force diagram for a beam
which rests on two supports. Draw loading and bending moment
diagram
(5 marks)
00
7.a.
State four end condition of columns and draw neat sketches
showing deflected shape and effective length.
(6 marks)
00
7.b.
A 4 m length of a tube has a buckling load of 2 kN when
used as a column hinged at both ends. Calculate buckling load
for 4.5 m length of the same tube when used as column if :
(1) both ends are fixed
(2) one end fixed and other is hinged.
(7 marks)
00
or
8.a.
Explain core of the section and hence obtain a core section
for hollow rectangular column of external and internal size
B × D and b × d respectively
(7 marks)
00
8.b.
A column support load of 400 kN is shown in figure. Find
the stresses at the corner of the column at its base. (Refer
in figure 8.1)
(5 marks)
00