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Summer 2014 Strength of Materials Question Paper

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GUJARAT TECHNOLOGICAL UNIVERSITY
Diploma Engineering - SEMESTER–III • EXAMINATION – SUMMER • 2014
Subject Code: 3331904 Date: 21-06-2014
Subject Name: Strength of Materials
Time: 10:30 am - 01:00 pm Total Marks: 70

Instructions:
1. Attempt all questions.
2. Make suitable assumptions wherever necessary.
3. Figures to the right indicate full marks.
4. English version is considered to be Authentic.

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Q.1 (a) Define : Stress, Strain, Modulus of Elasticity, Poisson’s Ratio,
Lateral strain, Shear force, Point of contra flexure. 07

(b) A mild steel bar 1.5 m long and 20mm in diameter is subjected to an axial
tensile force of 100 kN. Find stress, strain, change in length and final length.
Take E = 2 x 105 N/mm2. 07

Q.2 (a) 1. Define : Section Modulus, Moment of resistance, Neutral axis 03
2. Explain slope and deflection of beam with sketches. 04

(b) A circular R. C. C. column of 230 mm diameter is reinforced with 6 steel bars
of 20 mm diameter. The column is carrying a load of 1000 kN. Find the
stresses in concrete and steel bar. Take Modular ratio = Es/Ec = 15. 07

OR

(b) Draw shear force and bending moment diagram for the beam shown in Fig.1
Also locate point of contra flexure, if any. 07

Q.3 (a) Find Moment of Inertia about XX and YY axis of section as shown in Fig. 2. 07

(b) Draw shear force and bending moment diagram for the beam shown in Fig.3 07

OR

Q.3 (a) A pipe has external diameter 120 mm and thichness 15 mm. It is used as
cantilever beam of 2 m span. It carried a UDL of 6 kN/m on entire length and
4 kN point load at its free end. Find maximum bending stress. Also draw
stress distribution diagram. 07

(b) A simply supported beam 4 m span and having cross section of 150 mm width
and 300 mm depth, is subjected to a central point load of 40 kN along with
UDL of 20 kN/m over entire span. Calculate maximum slope and deflection
of beam. Take E = 2 x 105 N/mm2. 07

Q.4 (a) A column, 6 m long with both ends fixed, has circular cross section of
100 mm internal diameter and 10 mm thickness. Find Euler’s buckling load.
Take E = 2 x 105 N/mm2. 07

(b) The maximum shear stress induced in a50 mm diameter shaft, rotating at 150
RPM, is 80 N/mm2. Find power required. 07

OR

Q. 4 (a) Define : Eccentricity , Core of section , Torque , Principal plane,
Strain Energy , Impact Load , Temperature Stress. 07

(b) A column having rectangular cross section of 200 mm width and 150 mm
depth, is subjected to a load of 100 kN at an eccentricity of 50 mm on the axis
bisecting the depth. Find maximum and minimum stresses induced in the
section. Also draw stress distribution diagram. 07

Q.5 (a) 1. State difference between Riveted and Welded joints.03
2. Explain stress- strain curve for mild steel bar under axial tension. 04

(b) At a point in a strained material two direct stresses on perpendicular planes
are 300 N/mm2 (tensile) and 250 N/mm2 (compressive). It is also subjected to shear stress of 100 N/mm2. Using analytical method, find principal stresses, locate principal planes and maximum shear stress  03

OR

Q.5 (a) 1. Explain failure of riveted joint.
2. Explain various types of welded joints. 04

(b) Solve Example of Q. 5(b), using Mohr’s circle method. 07

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