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Important questions for Strength Of Materials

  • Strength Of Materials - SOM
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JNTU World OBJECTIVES or ld www.alljntuworld.in To meet the challenge of ensuring excellence in engineering education, the issue of quality needs to be addressed, debated and taken forward in a systematic manner. Accreditation is the principal means of quality assurance in higher education. The major emphasis of accreditation process is to measure the outcomes of the program that is being accredited. W In line with this, Faculty of Institute of Aeronautical Engineering, Hyderabad has taken a lead in incorporating philosophy of outcome based education in the process of problem solving and career development. So, all students of the institute should understand the depth and approach of course to be taught through this question bank, which will enhance learner’s learning process. TU PART – A (Short Answer Questions) Blooms Course Taxonomy Outcome Level Q. No Questions 1 2 Define Longitudinal strain and lateral strain. State Hooke’s law Define Modular ratio, Poisson’s ratio What is modulus of elasticity? Explain lateral strain with a neat sketch Write the relationship between bulk modulus, rigidity modulus and Poisson’s Ratio Draw the stress-strain diagram for mild steel, brittle material and a ductile material and indicate the sailent points What is Principle of Superposition? What is the procedure for finding the thermal stresses in a composite bar? Define Factor of Safety, working stress and allowable stress. JN 3 4 5 6 7 Unit-I 8 9 10 1 2 3 4 5 6 7 Knowledge Knowledge 1 2 Knowledge Understand Understand Create Apply 4 1 1 2 2 Understand Understand Knowledge 2 2 3 Understand Knowledge 1 2 Knowledge 2 Create Knowledge Knowledge Understand 2 1 3 4 Unit-II Explain shear force in a beam with neat sketches What are the different types of beams? Differentiate between a point load and a uniformly distributed load. What is the maximum bending moment for a simply supported beam subjected to uniformly distributed load and where it occurs? Write the relation between bending moment, shear force and the applied load. Define point of contra flexure. Define moment of resistance of a beam What do you mean by thrust Diagram? 1 Downloaded From JNTU World (http://www.alljntuworld.in)

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www.alljntuworld.in 8 9 JNTU World How many points of Contraflexure you will have for a simply supported beam Knowledge overhanging at one end only? What are the sign conventions for shear force and bending moment in general? Understand 4 2 UNIT-III Knowledge understand Understand Understand Knowledge knowledge 2 3 1 1 1 1 knowledge knowledge create Evaluate 2 2 2 2 understand 3 understand Name the stresses set up in thin cylinders subjected to internal fluid pressure Knowledg e Write the expressions for circumferential stress and longitudinal stress for a Create Write an expression for change in volume of athin cylindrical shell subjected to Create longitudinal joint. Define the term efficiency of a joint and write the equation Understan internal fluid pressure. d What is hoop stress and explain why hoop stress is required. understand Define the terms torsion, torsional rigidity and polar moment of inertia. understand Derive an expression for shear stress produced in circular shaft which is subjected evaluate 1 2 2 2 4 2 3 3 1 2 3 4 5 6 Define the terms: bending stress, neutral axis What do you mean by simple bending What do you mean by pure bending What is the meaning of strength of section Define the terms : modular ratio, equivalent section Define the terms: section modulus, flitched beams. 1 2 3 4 Define terms of principle plane and principle Stress Define the term obliquity and how it is determined Write a note on mohr’s circle of stress Derive the expression for the stresses on an oblique plane of a rectangular body or ld UNIT-IV When the body is subjected to to simple shear stress 5 Discuss about about theories of failure UNIT-V Define the term thin cylinders W 1 2 3 4 5 6 7 8 to torsion. What are assumptions made in derivation? PART – B (Long Answer Questions) Questions TU Q. No 1 2 UNIT – I Three sections of a bar are having different lengths and different diameters. The bar Knowledge is subjected to an axial load P. Determine the total change in length of the bar. Take Young’s modulus of different sections as same. Prove that the total extension of a uniformly tapering rod of diameters D1 & D2, Knowledge when the rod is subjected to an axial load P is given by dL= 4PL/(πE D1 D2) where L is total Length of the rod. Find an expression for the total elongation of a bar due to its own weight, when the Knowledge bar is fixed at its upper end and hanging freely at the lower end. JN 3 Blooms Course Taxonomy Outcome Level 1 2 2 4 Find an expression for the total elongation of a uniformly tapering rectangular bar Understand when it is subjected to an axial load P. 2 5 6 Derive the relation between three elastic modulii. Understand Define Volumetric Strain. Prove that the volumetric strain for a rectangular bar Knowledge subjected to an axial load P in the direction of its length is given by 2 2 εv= (δl/l)(1-2µ) where µ= Poisson’s Ratio and δl/l = longitudinal strain. 7 Derive an expression between modulus of elasticity and modulus of rigidity. 2 Downloaded From JNTU World (http://www.alljntuworld.in) Understand 2

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www.alljntuworld.in 8 JNTU World Prove that the stress induced in the body when the load is applied with the impact is Understand given by, 2 A=cross-section area of the body H=height through which load falls E= modulus of rigidity L=length of the body Prove that the maximum stress induced in a body due to suddenly applied load is Understand twice the stress induced when the same load is applied gradually. 2 10 If the extension produced in a rod due to impact load is very small in comparison Knowledge with the height through which the load falls, then the maximum stress induced in the body is given by 3 1 2 or ld 9 UNIT – II Draw the shear force and bending moment diagrams for a cantilever of length L Knowledge carrying a point load W at Free end. Draw the shear force and bending moment diagrams for a simply supported beam of Knowledge length L carrying a point load W at its middle point. 8 8 Draw the shear force and bending moment diagrams for a simply supported beam of Apply length L which is subjected to a clockwise couple at the centre of the beam. 2 4 Draw the shear force and bending moment diagrams for a cantilever of length L Apply carrying a uniformly distributed load w per unit length over its entire length. Also calculate maximum bending moment. 2 5 Draw the shear force and bending moment diagrams for a simply supported beam of Apply length L carrying a uniformly distributed load w per unit length over its entire length. Derive the relation between Load, shear force and bending moment. Apply Draw the shear force and bending moment diagrams for a cantilever of length L Apply carrying a uniformly varying load zero at free end to w per unit length at the fixed end. Draw the shear force and bending moment diagrams for a simply supported beam of Apply length L carrying a uniformly varying load zero at each end to w per unit length at the centre. How will you draw the S.F and B.M diagrams for a beam which is subjected to Apply inclined loads? 2 TU 6 7 W 3 8 9 UNIT – III Derive an expression for bending stress Knowledge Show that for a rectangular section the max shear stress is 1.5 times the average Knowledge stress. The shear stress is not maximum at the neutral axis in case of a triangular Knowledge section. A rectangular Prove beam this statement. 100mm wideand 150mm deep is subjected to a shear force of Apply 30kN. Determine the average stress, max shear stress Derive bending equation M/I=f/y=E/R. Knowledge Discuss the assumptions involved in the theory of simple bending Knowledge Draw and explain shear stress distribution across I section Knowledge Draw and explain shear stress distribution acrossTsection. Knowledge Draw and explain shear stress distribution across Circular section. Knowledge UNIT – IV Derive equations of static equilibrium for a three dimensional elastic body. Knowledge JN 1 2 3 4 5 6 7 8 9 2 3 Derive the equations for stresses acting on inclined planes and deduce stress Knowledge equations for principal planes. 3 Downloaded From JNTU World (http://www.alljntuworld.in) 3 3 2 1 3 4 2 1 2 32 2 2 2 3 3 4

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www.alljntuworld.in JNTU World 4 5 6 7 Determine graphically state of stress on inclined plane for a deformable body. Knowledge Derive the strain equations for three mutually perpendicular line elements in terms Knowledge of displacement equations. Derive equationsfunctions for stainsand on deduce inclinedcompatibility planes and deduce strain for principal planes. Knowledge Draw the Mohr’s Circle to determine stains on inclined plane. Knowledge 1 2 2 1 1 UNIT – V Prove that the torque transmitted by the solid shaft when subjected to torsion is Apply 1 given by Derive the relation for a circular shaft when subjected to torsion as given below Apply 2 3 4 Find the expression for strain energy stored in a body due to torsion. Apply A hollow shaft of external diameter D and internal diameter d is subjected to torsion. Apply 2 2 or ld 2 W Prove that the strain energy stored is given by PART – C (Problem Solving and Critical Thinking ) Q. No Questions UNIT – I Find the minimum diameter of a steel wire with which a load of 3500N can be raised so that the stress in the wire may not exceed 130N/mm 2. For the size and the Analyze length of the middle portion if the stress there is 140N/mm 2 and the total extension 5 2 of the bar is 0.14mm. take E= 2×10 N/mm . TU 1 Blooms Course Taxonomy Outcome Level 3 2 A copper rod 5mm in diameter when subjected to a pull of 750 N extends by 0.125mm over a gauge length of 327mm. find the Young’s Modulus for copper. Analyze 2 3 A steel punch can operate at a maximum compressive stress of 75N/mm2. Find the minimum diameter of the hole which can be punched through a 10mm thick steel Analyze plate. Take the ultimate shearing strength as 375N/mm2 2 JN A steel rod of cross-sectional area 1600mm2 and two brass rods each of crosssectional area of 1000mm2 together support a load of 50KN as shown in figure. Find the stresses in the rods. Take E for steel 2× 105 N/mm2 and E for brass 1×105 N/mm2 Analyze 4 4 Downloaded From JNTU World (http://www.alljntuworld.in) 2

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