ME-304 · Strength of Material/Unsolved PYQ Paper
ME-304 Strength of Material - Nov 2022 Question Paper
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Unit 17 MarksaDefine shear strain and Poisson's ratio.
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Unit 17 MarksbA mild steel flat 150 mm wide, 20 mm thick and 6 metres long carries an axial pull of 300 kN. If the value of modulus of elasticity is $20 \times 10^{7}\ \mathrm{N\,cm^{-2}}$ and Poisson's ratio is 0.30, calculate the change in length, width, thickness and volume of the plate.
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Unit 214 MarksCalculate the maximum deflection for a beam of span of 5 m if it carries a uniformly distributed load of 4 kN/m over the entire span. Also state the value of the slope at the point of maximum deflection. The size of the beam is 200 mm $\times$ 300 mm and modulus of elasticity is $2 \times 10^{5}\ \mathrm{N\,mm^{-2}}$.
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Unit 37 MarksaExplain tensional rigidity of shaft.
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Unit 37 MarksbDetermine the maximum strain energy stored in a solid shaft of diameter 10 cm and of length 1.25 meter, if the maximum allowable shear stress is 50 N/mm$^{2}$. Take $C = 8 \times 10^{4}\ \mathrm{N\,mm^{-2}}$.
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Unit 214 MarksDetermine the position of neutral axis, when a curved beam of circular section of diameter 100 mm is subjected to pure bending moment of 11.5 kN.m. The radius of curvature is 100 mm.
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Unit 57 MarksaDerive an expression for the Euler's crippling load for a long column with both ends fixed.
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Unit 57 MarksbA hollow mild steel tube 6 meter long, 4 cm internal diameter and 6 mm thick is used as a strut with both ends hinged. Find the crippling load. Take $E = 2 \times 10^{5}\ \mathrm{N\,mm^{-2}}$.
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Unit 414 MarksA cylindrical shell made of mild steel plate and 1.2 m in diameter is to be subjected to an internal pressure of 1.5 MN/m$^{2}$. If the material yields at 200 N/mm$^{2}$, calculate the thickness of the plate on the basis of the following three theories, assuming a factor of safety of 3 in each case: i) Maximum principal stress theory ii) Maximum shear stress theory iii) Maximum shear strain energy theory.
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Unit 214 MarksA cantilever carrying a uniformly distributed load up to a length $a$ from the fixed end as shown in figure. A cantilever of length $l$ fixed at end A and free at end B carries a uniformly distributed load of intensity $w$ per unit length over a length $a$ from the fixed end. Determine expressions for shear force and bending moment at a section at a distance $x$ from the free end and draw the S.F. and B.M. diagrams.
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Unit 114 MarksWrite short notes on the following: i) Young's modulus ii) Modulus of rigidity iii) Bulk modulus iv) Hooke's law
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