Me2254 STRENGTH OF MATERIALS
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This document appears to be an exam for a Strength of Materials course, as it contains multiple choice and numerical problems relating to concepts in strength of materials. It begins with 10 short answer questions worth 2 marks each [Part A]. It then lists 5 problems worth 16 marks each [Part B], covering topics such as stresses and strains in rods due to tensile forces, shear force and bending moment diagrams, stresses and deflections in beams, stresses and deflections in springs, stresses and failures in compression members, and principal stresses. The document provides data and asks students to show working to calculate values for stresses, strains, deflections, loads, and other strength of materials variables. It aims to test students' understanding and application of key
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Me2254 STRENGTH OF MATERIALS
- 1. r Reg. No. : J I I J I I j I j J I J J Question,paper Code :. 23847. . ) B.E./B.Tech. DEGREE EXAMINATION, .NOVEMBER/DECEMBER 2018.. . Fourth semester MechanicalEngineering ME 2254- STRENGTH OF MATERIALS (Common to Production Engineering and Automobile Engineering) (Regulations 2008) (Also common to PTME 2254 -Strength ofMatehals for B.E. (Part-Time) .Third Semeste~ - Mechanical Engineering - Regulations 2009) · Time: Three hours Maximum: 100 marks (Missing data if any may suitably be assumed) AnswerALL questions. PART A-(10 x 2 =20 marks) . 1. State Hooke's law 2. How will you find the stresses and load carried by each member of a composite bar? 3. What are the different types of be~ms? 4. Define: Shear force and Bending moment. ·. 5. What are the assumptions made while deriving the torsion equation? 6. What is a spring? Name theimportant types of springs. 7. State any four methods to evaluate the slope and deflection of beams. 8. What are the assumptions'mad~ in Euler's column theory? 9. Define: Principal planes and Principal stresses. 10.. Name the tw{) types of stre~ses setup. in.a thin cylinder, subjected to internal fluid pres~ure. .• BIBIN.C / ASSOCIATE PROFESSOR / MECHANICAL ENGINEERING / RMK COLLEGE OF ENGINEERING AND TECHNOLOGY 1
- 2. PART B- (5 x 16 =80 marks) 11. (a) (i) A circular rod of 20 mm diameter and length 500 mm is subjected to a tensile force 45kN. The modulw~ of elasticity for steel is 200kN/mm2• Find the stress, strron and elongation of the rod due to applied load: ' (8) (ii) A compound bar of length f?OO mm consists of a strip. of alu~inium 50mm wide and 20 mm thick and ·a strip of steel 50mm wide and 15mm thick rigidly joinedat ends. Ifthe bar is subjected to a load of 50kN, fin~ the stresses developed in each material of the bar. Take modulus of elasticity for steel as 200kN/mm2 and for aluminium as 100kN/mm2• · (8) · Or (b) (i) A rod is 2m long at a temperatu~e. of 10°C. Find the expansion of the rod, when the temperature is raised to 80°C. If the expansion is prevented, find the stresses induced in the material of the rod. T~ke E =1 x105 N/mm2 and a= 0.000012 per degree centigrade. (8) (ii) · A steel rod is 2m long and 50mm in diameter. An axial pull of lOOkN is suddenly applied to the rod. Calculate the instantaneous stress induced and instantaneous elongation produced in the rod. Take E =2 x105 N/mm2 . ' '(8) 12. (a) .A cantilever of length 2m carries a uniformly distributed load of 2kN/m over the whole length and a point load of 3kN at the free end. Draw the shear force diagram and bending moment diagram for the cantilever. · · Or (b) A rectangular beam 200 mm wide and 300 mm deep is simply supported . .over a span of 8m. Determine the uniformly distributed load per metre which the beam may carry, if the bending· stress should not exceed 120N/mm2• 13. (a) Determine the diameter. ot a solid· shaft. which will transmit 300kW power at 250rpm. The maximum shear stress should not exceed 30N/mm2 ' " and angle of twist should not be more than 1o in a shaft length of 2m. Take modulus of rigidity equals to 1x 105 _N/mm2 • Or (b) A close coiled helical spring made of 10nim diameter steel wire has 15 coils of 100mm mean diametet:. The spring is subjected to an axial load of lOON. Calculate the maxim~ stress induced in the wire, deflection and stiffness of the spring. Take modulus of rigidity =8x 104 N/mm2 • 2. 23847 BIBIN.C / ASSOCIATE PROFESSOR / MECHANICAL ENGINEERING / RMK COLLEGE OF ENGINEERING AND TECHNOLOGY 2
- 3. 14. (a) A beam of length 6m is simply supported at its ends and carries two point ·loads of 48kN and 40kN at a distance of 1m and 3m respectively from the left support. Find the deflection under each load. Given E =2x 105 N/mm2 and I~ 85 x 106 mm4 . Or (b) A hollow mild ·steel tube 6m long, 4.,0 rum int~rnal diameter and 6mm thick is used as a compression member with .both ends hinged. Find the crippling load and s'afe load taking a factor of safety as 3. Take E =200 kN/mm2 15. (a) A boiler is subjected to an inter:O:ai steam pressure of 2N/mm2• The thickness of the boiler plate is. 20mm and permissible tensile stress is 120N/mm2 • Find out the.. maximum diameter, when the efficiencies of longitudinal jointis 90% and that of circu~ferential; joint is 40%.. Or (b) At apoint in a strained. material, the stresses on two ·planes.at right angles to each other are 20N/mm2 and 10N/mm2 both tensile. They. are · accompanied by a shear stress of magnitude 10N/mm2• Find the location of the principal planes and ~valuate the principal stresses. 3 23847. BIBIN.C / ASSOCIATE PROFESSOR / MECHANICAL ENGINEERING / RMK COLLEGE OF ENGINEERING AND TECHNOLOGY 3