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DIPLOMA ENGINEERING – SEMESTER –III • EXAMINATION – WINTER 2015
Subject Code: 3331904 Date: 09- 12- 2015
Subject Name: Strength of Materials
Time: 10:30 AM TO 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. Use of programmable & Communication aids are strictly prohibited.
5. Use of scientific calculator is permitted.
6. English version is authentic.
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Q.1 Answer any seven out of ten. 14
1. Define Stress and Strain.
2. Explain Hooke’s Law.
3. Explain Strain Energy.
4. Explain Thermal Stress.
5. Explain Point of contraflexure.
6. State the relation between load, shear force and bending moment.
7. Define: Section modulus, Slenderness ratio.
8. Explain Parallel axis theorem.
9. Differentiate between column and strut.
10. Differentiate between ductility and Brittleness.
Q.2 (a) A steel bar of 16mm diameter and 2m long is subjected to an axial tension of 35kN. The increase in length is 2mm. calculate stress, strain and modulus of elasticity. 03
OR
(a) A weight of 5kN is to be lifted by a steel wire. If maximum stress in the wire is not to exceed 100N/mm2, calculate diameter of wire. 03
(b) Explain stress – strain curve for tension test on mild steel. 03
OR
(c) A R.C.C. column 300mmx300mm in section is having 4 bars – 20mm diameter, one at each corner. Calculate load taken by the column. Permissible stresses in concrete is 5N/mm2 and modular ratio Es/Ec = 9. 04
OR
(c) A steel bar 600mm long 20mm diameter is secured between two rigid walls. If temperature is increased by 100oc, find nature and magnitude of the force developed in the bar.
Take E=2x105 N/mm2 and α = 12x10-6/oc. 04
(d) Explain Brinnel Hardness Test. 04
OR
(d) Explain Izod Impact Test. 04
Q.3 (a) A simply supported beam of 5m span is subjected to a central point load of 30kN along with UDL of 10kN/m over entire span. Draw shear force diagram for the beam. 03
OR
(a) A cantilever beam of 3m span is subjected to UDL of 5kN/m over entire span along with point load of 10kN at its free end. Draw shear force diagram for the beam. 03
(b) Draw bending moment diagram for the simply supported beam of 5m span of Q3(a) 03
OR
(c) Calculate maximum bending stress induced in a 5m long simply supported beam subjected to UDL of 50kN/m over entire span. The cross section of the beam is rectangular having 600mm depth. Take I=5.4x109 mm4. 04
OR
(c) State and explain equation of bending. 04
(d) A cantilever beam is of 2m span having its cross section 200mm x 300mm. If maximum bending stress is not to exceed 20N/mm2, Find value of point load to be placed at its free end. 04
OR
(d) Draw sketches for core of rectangular section of 600mmx300mm size and circular section having 300mm diameter. 04
Q.4 (a) slope and deflection of beam with sketches. 03
OR
(a) Explain limit of eccentricity. 03
(b) A cantilever beam having cross section 100mm x 200mm is 3m long. What UDL should the beam carry to produce a deflection of 10mm at free end. Take E=2x105N/mm2. 04
OR
(b) A column 5m long with both ends fixed has hollow circular section of 120mm external diameter and 10mm thickness. Find Euller’s buckling load. Take E=2x105N/mm2. 04
(c) At a certain point in a strained material a direct tensile stress of 100 N/mm2 and shear stress of 60 N/mm2 are acting. Find principal stresses and locate principal planes. 07
Q.5 (a) Calculate Moment of Inertia of an angle section 90mm x 90mm x 10mm. 04
(b) A square column of 300mm side is carrying a load of 60 kN at an eccentricity of 100mm on X-X axis, determine maximum and minimum stress induced in the section. 04
(c) Find the torque which a shaft of 200mm diameter can transmit safely, if the permissible shear stress is 50N/mm2. 03
(d) Define : Twisting Moment, angle of Twist, Polar Moment of Inertia. 03
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