Download JNTUA M.Tech 1st Sem 2016 Aug Supply 9D15103 Advanced Mechanics of Solids Question Paper

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Code: 9D15103

M.Tech I Semester Supplementary Examinations August 2016

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ADVANCED MECHANICS OF SOLIDS

(Machine Design)

(For students admitted in 2012, 2013, 2014 & 2015 only)

Time: 3 hours Max. Marks: 60

Answer any FIVE questions

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All questions carry equal marks

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1. (a) What is shear centre and bending axis?
   (b) Locate shear centre for the beam cross section shown in figure below:
   

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2. (a) What are the equations of equilibrium bending stresses for a beams subjected to nonsymmetrical bending? Explain.
   (b) A channel section beam length of 80 m loaderns as a simple beam with a concentrated load P = 35 kN acting at the center of the beam as shown in figure below. Determine the maximum tensile and compressive stresses in the beam if ¢ = 5π/9. If the beam made of is an aluminum alloy (E = 72 GPa), determine the maximum deflection of the beam.
   
3. (a) The curved beam in figure has a triangular cross section as shown in figure below. Determine the stress at B and C for P = 40 kN.
   
   

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   (b) What are the stresses in chain links? Explain with example.
4. (a) What are the stresses developed when the disc is rotating? Derive the formulas for when disc is subjected to uniform strength.
   (b) A hollow thin-wall torsion member sectional dimensions as indicated in figure. The material is an aluminum alloy for which G = 26 GPa. Determine the torque and unit angle of twist if the maximum shear stress, at locations away from stress concentrations, is 40 MPa.
   
5. (a) Derive an expression for the stress concentration at the tip of a elliptical hole introduced in a plate subjected to far field stress of σ.
   

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   (b) Determine the expression for the contact stress developed in a single row ball bearing.
6. (a) Explain a plane stress and plane strain problem in rectangular coordinates with suitable example.
   (b) What is the effect the of the shear force on deflection of beam with UDL.
7. (a) Discuss the general yielding mode of failure. Explain: elastic perfectly plastic; nonlinear; lower bound load; and upper bound for the general yielding mode of failure. Distinguish fully plastic load for an axial member and the plastic moment for a beam subjected to pure bending.
   (b) Derive expression for the stresses in a circular disc.

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8. (a) A beam as shown in figure is subjected to pure bending. The material has a yield point σy. Determine the ratio of the plastic moment and the maximum elastic moment.
   
   (b) Explain about pure bending of three dimensional plates with suitable example.

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