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SANTOSH A.GOUDAR, ASST.PROFESSOR

ALVAS INSTITUTE OF ENGINEERING & TECHNOLOGY

DEPARTMENT OF MECHANICAL ENGINEERING

Mechanics of Material

[Unit-I, VTU EXAM QUATI ONS 2007-2014]

Q.1 Define the following

1. Factor of safety

2. Poisons ratio

3. True stress and principle of superposition

4. Ductility

5. Youngs modulus/Modulus of elasticity and Modulus of rigidity

6. Hooks law

7. Stress,strain and pressure

8. Hardness and toughness

9.

Proof stress

10.Elastic limit

Q.2 Sketch the typical stress strain curve for aluminium, copper, cast iron, mild steel, high

carbon steel [6M]

Q.3 Explain any 7 mechanical properties of materials [7M]

Q.4 A bar of uniform thicknesst tapers uniformly from width of b1 at one end to b2 at

other end, in a length of L. Find the expression for the change in the length of the bar when

subjected to axial force P. [8M]

Q.5 Derive expression for extension of a uniformly tapering circular bar [8M]

Q.6 Draw stress-strain diagram of Mild steel (M.S) specimen subjected to tension test and

explain salient points [06M]

Q.7 Mention the assumptions made in theory of simple stress and strain and derive the

equation dl=PL/AE [06M]

Q.8 Derive an expression for extension in a bar of uniform c/s fixed at one end and

suspended vertically, due to self weight. [07M]

PROBLEMS

Q.1 A vertical circular steel bar of length 3 fixed at both ends is loaded at intermediate

sections by forces W and 2 W as shown in fig.1. Determine the end reactions if W=1.5KN

[08M]

Q.2 A brass bar having c/s area 300mm2 is subjected to axial force shown in fig 2. Find

total elongation of a bar E=84GPa. [10M]

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