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GUJARAT TECHNOLOGICAL UNIVERSITYDiploma Engineering - SEMESTER–III • EXAMINATION – WINTER 2013
Subject Code: 3331904 Date: 04-12-2013
Subject Name: Strength of Materials
Time: 02:30 pm - 05:00 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 the following: 1. Bulk Modulus 2. Compressive Stress 3. Elastic Limit
4.Modulus of Resilience 5. Shear Stress 6. Temperature Stress 7. Strain 07
(b) A copper wire of length 500mm is subjected to an axial pull of 5 KN. Find the
minimum diameter of the wire if the stress in the wire is not to exceed 70
N/mm2. Also find the elongation of the wire. Take E = 100 KN/mm2. 07
Q.2 (a) A hollow circular column has external and internal diameter 300 mm and
250mm. A load of 10 KN is acting on its outer edge. Find maximum and
minimum stresses in the section. 07
(b) Find the Moment of Inertia of I section having Top & Bottom flange 100mm
x 15mm and web 250mm x 10mm. 07
OR
(b) Explain Parallel Axes Theorem and Perpendicular Axes Theorem 07
Q.3 (a) A simply supported beam is 6 m long. It is loaded with uniformly distributed
load of 30 KN/m over 2 m length from left support A. It is also loaded with
uniformly distributed load of 20 KN/m over 2 m length from right support B.
It has a point load of 40KN at centre. Draw shear force and bending moment
diagram for the beam. 07
(b) Define shear force, bending moment, point of contra flexure. A column is 4 m
long, fixed at one end and hinged at the other end. Ixx = 5131.6 cm4 and Iyy =
334.5 cm4, E= 2 x 105 N/mm2. Calculate the Euler’s crippling load and safe
load if factor of safety is 3.5. 07
OR
Q.3 (a) A simply supported beam of span 5m is subjected to an UDL of 30 KN/m for
a length of 3 m from its right support. Point load os 40 KN and 50 KN are
acting at 1.5 m and 4 m distance from the right support respectively. Draw
the S.F. and B.M. diagram. 07
(b) Define section modulus, radius of gyration. Write the bending theory
equation. A cantilever beam of 1.75 m span is subjected to an UDL of 75
KN/m over the entire span and a point load of 50 KN at free end. Find the
slope and deflection at the free end. Take EI = 12 x 1013 N.mm2. 07
Q.4 (a) A rectangular beam of 8 m span is simply supported at its ends. Cross section
of the beam is 200 mm wide and 400 mm deep. It is loaded by central point
load of 200 KN and a UDL of 10 KN/m on entire span. Find the maximum
bending stress developed at mid span. Draw stress diagram. 07
(b) Define slope and deflection of a beam. A steel tube of external diameter 60
mm and 8 mm thickness is used as simply supported beam of span 4m. If it
deflects 10 mm due to a central point load, find the magnitude of the point
load. Take E = 200 GPa. 07
OR
Q. 4 (a) A cast iron pipe of external diameter 50 mm and 8 mm thick is 6 m long and
simply supported at ends. It carries a point load of 120 N at its centre.
Calculate the maximum bending stress induced. 07
(b) A load of 100 KN is acting on a column 300 mm x 200 mm size at
eccentricity ‘e’ on axis bisecting 200 mm side. If maximum safe stress is 3.67
N/mm2, find the value of ‘e’. 07
Q.5 (a) A point in a strained material is subjected a normal stresses of 400 MPa
(tensile) and 100 MPa (compressive) along with a shear stress of 150 MPa.
Find the normal, tangential and resultant stress on a plane inclined at 35ο to
the plane carrying tensile stress. 07
(b) A solid shaft 100 mm in diameter rotates at 200 r.p.m. It transmits 150 KW
power. Find the shear stress in shaft. 07
OR
Q.5 (a) Define Principal plane and Principal stress. Write the strength and rigidity
equation for shaft. What do you mean by polar moment of inertia and angle of
twist? 07
(b) Define the following: Hardness, ductility, malleability. Name suitable
materials for crane hook, fly wheel, angles used in structures and wires used
in coils for electrical winding. 07
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