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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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- (a) What is shear centre and bending axis?
(b) Locate shear centre for the beam cross section shown in figure below:
- (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 ¢ = 5p/9. If the beam made of is an aluminum alloy (E = 72 GPa), determine the maximum deflection of the beam.
- (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. - (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.
- (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 s.
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(b) Determine the expression for the contact stress developed in a single row ball bearing. - (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. - (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. - (a) A beam as shown in figure is subjected to pure bending. The material has a yield point sy. 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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This download link is referred from the post: JNTUA M.Tech 1st Sem last 10 year 2010-2020 Previous Question Papers (JNTU Anantapur)
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