Name of the College : P.E.S College of Engineering
University : Visvesvaraya Technological University
Department : Mechanical Engineering
Subject Code/Name : P08ME33/MECHANICS OF MATERIALS
Degree : B.E
Sem : III
Website : pescemandya.org
Document Type : Model Question Paper
Download Model/Sample Question Paper : https://www.pdfquestion.in/uploads/pescemandya.org/4689-mech_question_paper.pdf
PES Mechanics Of Materials Question Paper
Third Semester B.E. Degree Examination
Time: 3 hrs
Max. Marks: 100
Note: answer any FIVE full questions, selecting at least TWO from each part.
Related : Mechanical Measurements & Metrology B.E Model Question Paper : www.pdfquestion.in/4692.html
Model Questions
Part – A
1 a. Define i) Poisson’s Ratio ii) Bulk modulus iii) Factor of safety. (03)
b. Derive an expression for deformation of a tapering rectangular bar of widths ‘b’1 and ‘b’2 and thickness‘t’ when it is subject to an axial force ‘P’. (07)
c. For the component shown in fig. 1(c), determine the magnitude of force P, such that net deformation in the bar does not exceed 1 mm. E for steel is 200 GPa and that for Aluminum is 70 GPa. Big end diameter and small end diameter of the tapering bar are 40mm and 12.5mm respectively. (10)
2 a. Derive an expression for relationship between Young’s modulus, modulus of Rigidity and Poisson’s ratio. (10)
b. Two bars of the same length, one of steel, the other of brass, have their ends firmly united. The areas of cross-sections of the steel and brass bars are respectively 850 mm2 and 1000 mm2. Find the stresses in steel and brass when the temperature falls by 100°C. Take Es = 200GPa, Eb = 80GPa, as = 0.000012/0C and ab = 0.000021/0C. (10)
3 a. Define Principal Stresses and Principal Planes. (03)
b. Prove that the sum of normal stresses on any two mutually perpendicular planes is a constant in a general two dimensional stress system. (07)
c A plane element is subjected to stresses as shown in fig.3(c). Determine principal stresses maximum shear stress and their planes. Sketch the planes determined. (10)
4 a. Derive an expression for circumferential and longitudinal stress for thin cylinder. (10)
b. A pipe of 400mm internal diameter and 100 thickness contains a fluid at a pressure of 80N/mm2. Find the maximum and minimum hoop stresses across the section. Also sketch radial and hoop stress distribution across the section. (10)
Part – B
5 a. What are the different types of beams? Explain briefly. (5)
b. For the beam shown in fig.5(b), draw shear force and Bending moment diagram. Locate the point of contra flexure if any. (15)
6 a. Derive an expression for relationship between bending stress and radius of curvature of a beam. (10)
b. A Cantilever of square section 200mm x 200mm, 2 meter long just fails in flexure when a load of 12kN is placed at its free end. A beam of same material and having a rectangular cross section 150mm wide and 300mm deep is simply supported over a span of 3m. Calculate the minimum central concentrated load required to break the beam. (10)
7 a Derive an expression M dx E = d y = 2 2 with usual notations. (10)
b Determine the deflection under the loads in the beam shown in fig.6 (b). Take flexural rigidity as EI through out. (10)
8 a. Define Slenderness Ratio and derive Euler’s expression for buckling load for column with both ends hinged. (10)
b. A solid shaft rotating at 500 rpm transmits 30kW. Maximum torque is 20% more than mean torque. Allowable shear stress is 65MPa and modulus of rigidity is 81GPa. The angle of twist in the shaft should not exceed 1º in 1 meter length. Determine suitable diameter for the shaft. (10)