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Re: Sathyabama University B. Tech Civil Engineering IV Sem Mechanics of Solids II Exa
Here I am providing you Question Papers of Sathyabama University- B. Tech in Civil Engineering-4th Sem Mechanics of Solids – II. Paper Pattern:Total number of questions: 15 Section A is of 10 short answer type questions Section B is of 5 questions Important Topics:Bourdon Pressure Gauge with sketch Mechanics of layout Counter flow & parallel flow heat exchanger Classification system Centrifugal pump Nuclear power plant with sketch Classification of boiler CAD drawing, soldering and brazing PMMI Enthalpy Isothermal process IC engine and its type 1st law of thermodynamics Definition of 3D imaging Applications of compressed air Specific heat Hydroelectric plant with sketch Some Best Books for Mechanics of Solids:Engineering Mechanics TMH Thermodynamics NAG Sathyabama University- B. Tech in Civil Engineering-4th Sem Mechanics of Solids - II Papers: Sathyabama University- B. Tech Civil -4th Sem Mechanics of Solids - II Paper 1PART - A (10 x 2 = 20) Answer ALL the Questions 1. State Conjugate beam Theorem. 2. A simply supported beam of span ‘1’ is carrying point load W at the mid span. What is the deflection at the centre of the beam? 3. Define Slenderness ratio. 4. What is “Equivalent length of a column”? 5. What are the types of Stresses developed, when thin cylinders are subjected to internal fluid pressures? 6. Write the importance of Lame’s Theory. 7. Define Principal Stress. 8. Name the failure theory which is suitable for Ductile material. 9. Write two reasons for unsymmetrical bending. 10. Write the principle involved in locating the shear centre for a Cross Section of a beam. PART – B (5 x 12 = 60) Answer ALL the Questions 11. A steel girder of uniform section, 14 metres long is simply supported at its ends. It carries concentrated load of 902kN and 60kN at two points 3 metres and 4.5 metres from the two ends respectively. Using Macaulay’s method calculate: (a) The deflection of the girder at the points under the two loads. (b) The maximum deflection. Take: I = 64 x 10-4 m4 and E = 210 x 106 KN/m2. (or) 12. A cantilever beam of 3m span is 15cm wide and 23cm deep. It carries a uniformly distributed load of 20kN/m over its whole span and 25kN load at the free end. Using moment area method, calculate the maximum slope and deflection. Take: E = 210 GN/m2. 13. A bar of length 4m when used as a simply supported beam and subjected to a u.d.l of 30kN/m over the whole span deflects 15mm at the centre. Using Euler’s formula, determine the crippling loads when it is used as a column with following end conditions: (a) Both ends pin-jointed (b) One end fixed and other end hinged (c) Both ends fixed (or) 14. A mild steel column is of hollow circular section 100mm as external diameter and 80mm as internal diameter. The column is 2.4m long and is hinged at both the ends. Using Perry’s formula, calculate the maximum permissible load with a eccentricity of 16mm, if the maximum compressive stress is limited to 80N/mm2 Take: E = 2 x 105N/mm2. 15. A cylindrical vessel whose ends are closed by means of rigid flange Plates is made of steel plate 3mm thick. The internal length and diameter of vessel are 50cm and 25cm respectively. Determine the longitudinal and circumferential stresses in the cylindrical shell due to an internal fluid pressure of 3MN/m2. Also calculate increase in length, diameter and volume of the vessel Take:E = 200 GN/m2 and Poisson’s ratio = 0.3 (or) 16. A spherical shell of 120mm internal diameter has to withstand an Internal pressure of 30MN/m2. If the permissible tensile stress is 80MN/m 2, calculate the thickness of the shell. 17. A bolt is under an axial thrust of 9.6kN together with a transverse force of 4.8kN. Calculate its diameter according to (a) Maximum principal stress theory (b) Maximum shear stress theory Factor of safety = 3, Yield strength of material of bolt = 270 N/mm2 Piosson’s ratio = 0.3 (or) 18. At a certain point in a strained material, the stresses on two planes, at right angle to each other are 20N/mm2 and 10N/mm2 both tensile. They are accompanied by a shear stress of a magnitude of 10N/mm2. Using analytical method, find the location of Principal planes and Evaluate the Principal Stresses? 19. A channel section has flanges 12cm x 2cm and web 16cm x 1cm. Determine the shear centre of the channel. (or) 20. A cantilever, of I section, 2.4m long is subjected to a load of 600N at the free end. This load is inclined at 20° to vertical and passing through the centroid of the section. I section has the following Dimensions: Flanges 30mm x 2.5mm and Web 45mm x 2.5mm. Determine the resulting bending stress at the corners. Sathyabama University- B. Tech Civil -4th Sem Mechanics of Solids - II Paper 2PART – A (10 x 2 = 20) Answer All the Questions 1. Differentiate between determinate and indeterminate beams? 2. Draw the conjugate beam of a cantilever beam subjected to point load at the free end. 3. What are the assumptions made in the Euler’s theory for long columns. 4. What is meant by effective length of columns? 5. What are the stresses set up in a thin cylinder subjected to internal fluid pressure? 6. What is meant by shrink fit in thick cylinders? 7. What are the significant of failure theories? 8. State distortion energy theory of failure. 9. Define shear centre. 10. What are the causes for unsymmetrical bending? PART – B (5 x 12 = 60) Answer All the Questions 11. A beam of length 5m and of uniform rectangular cross section is supported at its ends and carries uniformly distributed load over the entire span. Calculate the depth of the section if the maximum permissible bending stress is 8N/mm2 and central deflection is not to exceed 10mm. (or) 12. Determine the slope at supports, deflection under the load and maximum deflection of a simply supported beam of length 10m, which carries a point load of 10kN at a distance of 6m from the left end. Take E = 2 x 105N/mm2 and I = 1 x 108mm4. 13. Derive the expression for Euler’s crippling load when both ends of the column are fixed. (or) 14. A hollow steel column whose outside diameter is 200mm has a thickness of 20mm. It is 4.5m long and is hinged at both ends. Calculate the safe load by Rankine’s formula using a factor of safety of 4. Calculate the slenderness ratio and the ratio of Euler’s and Rankine’s critical loads. Take fc = 550N/mm2 a = 1/1600 in Rankine’s formula and E = 9.4 x 105N/mm2. 15. A boiler is subjected to an internal steam pressure of 3N/mm2. The thickness of the boiler plate is 2.5cm and the permissible tensile stress is 125N/mm2. Find out the maximum diameter when the efficiency of longitudinal joint is 90% and that of circumferential joint is 35%. (or) 16. A steel cylinder of 200mm external diameter is to be shrunk to another steel cylinder of 100mm internal diameter. After shrinking, the diameter at the junction is 150mm and the radial pressure at the junction is 12.5N/mm2. Find the original difference in radii at the junction. Take E = 2 x 105N/mm2. 17. A bolt is under an axial thrust of 7.2kN together with a transverse shear force of 3.6kN. Calculate the diameter of the bolt according to (a) Maximum principal stress theory (b) Maximum shear stress theory (c) Maximum strain energy theory Take elastic limit in simple tension = 200N/mm2, factor of safety = 3 and Poisson’s ratio = 0.3. (or) 18. State and explain and five theories of failure. 19. Locate the shear centre for a channel section. (or) 20. A cantilever beam of span 4m has a rectangular cross section 40mm wide and 60mm deep. The beam is subjected to a concentrated load of 3kN which is inclined at an angle of 30° to the vertical plane and located at the free end of the cantilever. Calculate the bending stress developed at points A, B and C near the fixed end. Sathyabama University- B. Tech Civil -4th Sem Mechanics of Solids - II Paper 3 detail to atteched a pdf file...............
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