Semester : SEMESTER 3
Subject : Mechanics of Solids
Year : 2019
Term : DECEMBER
Branch : CIVIL ENGINEERING
Scheme : 2015 Full Time
Course Code : CE 201
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C192020 Pages: 3
maximum stress of 95 N/mm’. Assume E = 200GPa
PART 8
Answer any two full questions, each carries 15 marks.
A simply supported beam of span L carries a clockwise moment M at its centre. (4)
Draw the SFD and BMD
Draw the shear force and bending moment diagrams for a cantilever beam of (7)
span 5 m subjected to a uniformly distributed load of 5 kN/m over a length of 2
m starting from the free end.
Draw the shear stress distribution for a triangular cross section and mark the (4)
salient values.
What is section modulus? Express the section modulus of (i) rectangular section (5)
(width=b, depth=d) , (ii) circular section (diameter=d) and (iii) Hollow circular
section (Internal diameter=d, External diameter=D) .
A beam of I section 200 mm wide and 300 mm deep with flange and web (10)
thickness 20 mm is used as a simply supported beam over a span of 7 m. The
beam carries a distributed load of 5 kN/m over the whole span and a concentrated
load of 20 kN at mid span. Determine the maximum bending stress set up and
sketch the stress distribution.
Obtain the relationship between bending moment, shear force and load intensity (5)
at any section of a beam.
The intensity of loading on simply supported beam of 5 m span increases (10)
gradually from 1 kN/m at one end to 2 kN/m at the other end. Find the position
and amount of maximum bending moment. Also draw the SFD and BMD.
PART C
Answer any two full questions, each carries20 marks.
Derive the expression for the stresses on an oblique plane of a rectangular body (6)
when the body is subjected simple shear stress.
A hollow shaft is of external diameter 70 mm and diameter ratio 0.8. It transmits (8)
a power of 2 HP at 25 rpm. If the maximum torque exceeds the average torque by
25%, draw the shear stress distribution across the section of the shaft indicating
the values.
Calculate minimum wall thickness of a thin cylinder 1 m in diameter if it is to (6)
withstand an internal pressure of 2 N/mm? and hoop stress not to exceed 40
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