Strength of Materials
Strength of Materials
Strength of Materials
MODEL PAPER
Fourth Semester
Civil Engineering
6. Write the effective length of column for the following end conditions :
(a) Both ends pinned condition
PART B — (5 × 16 = 80 marks)
11.Find the vertical displacements of joint V1 of the frame shown in Fig. 11.
due to applied loadings. Take E = 2 ×10 5 N/mm2 and Area of
members 1200 mm2.
Fig. 11.
Or
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(b) A continuous beam ABC consists of two spans AB and BC of lengths 6 m
and 8 m. The span AB carries a point load of 120 kN at 4 m from A
while the span BC carries a point load at 5 m frame. Find the
moments and reactions at supports. Draw SFD and BMD.
Use factor of safety of 3 and also calculate the Euler’s crippling load for
buckling.
Or
(b) A hollow cast iron column whose outside diameter is 200 mm and has a
thickness of 20 mm is 4.5 m long and is fixed at both ends.
Calculate the safe load by Rankine’s formulae using a factor of
safety of 2.5. Find the ratio of Euler’s to Rankine’s loads. Take
1
E =1 ×10 5 N/mm2 and Rankine’s constant = and fc =
1600
550 N/mm2.
Or
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(i) Maximum principal stress theory and
1
Take F.O.S. = 3, typ = 285 N/mm2 g = 0.3 .
m
15.(a) A curved beam has a T–section as shown in Fig. 15 (a). The inner
radius is 300 mm. What is the eccentricity of the section?
Fig. 15 (a)
Or
(b) A thick pipe of 300 mm outer diameter and 200 mm internal diameter
is subjected to an internal pressure of 12 MPa. What minimum
external pressure can be applied so that the tensile stress in the
metal shall not exceed 16 MPa?
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