Gujarat Technological University 2011-2nd Sem B.E Mechanical Engineering Mechanics of Solids (sub code: 110010) e-y - Question Paper

Gujarat Technological University
B.E SEM II exam June/July 2011
Subject code: 110010
Subject name: Mechanics of Solids
Total marks: 70

Q1. (a) ans in 1 line: [MARKS 7]
i. What should be the efficiency of Self Locking Machines?
ii. Resultant of 2 forces can be obtained using which Law?
iii. The Elastic Range is described by which Law?
iv. Force is described by its magnitude and two other parameters. Name them.
v. Name the machine used for conducting the Tension test.
vi. What will be the shape of Bending Moment diagram of a uniformly loaded cantilever beam?
vii. Name the different elastics constants and provide their relationship.

(b) three wires exert forces on a hook as shown in fig.1. obtain out the force that will be exerted by a single wire that can change all three wires.[MARKS 7]

Q2. (a) obtain the total deformation of a steel rod subjected to a force of 250kN, as shown in fig.2. Length of rod is 1000mm and Modulus of Elasticity of steel is 200GPa. [MARKS 7]

(b) Determine the centroid of the plane area in which a circular part of 40 mm radius, has been removed as shown in fig.3. [MARKS 7]

*OR*

(b) change the couple and force by a single force-couple applied at A for the lever shown in fig.4. Also obtain the distance of a point C from A where only a single force can change the force-couple system. [MARKS 7]

Q3. (a) A block of mass 100 kg is placed on an incline as shown in fog.5. If µs = 0.35 and µr = 0.25, determine the magnitude of horizontal force P, needed to begin the block to move up the plane. [MARKS 7]

(b) obtain the Moment of Inertia of a rectangular area about its centroidal x and y axis using the Parallel axis theorem. [MARKS 7]

*OR*

Q3. (a) Determine force in member AB and BC of a truss shown in fig.6. Using Method of Joints and in member AC using Methods of parts. [MARKS 7]

(b) An effort of 10 N is applied to lift a load of 125 N by a lifting machine having Velocity Ratio of 40. If the effort is removed, will there be a reversal in the machine? Determine Frictional effort of this machine. [MARKS 7]

Q4. (a) Draw the Shear Force and Bending Moment diagram for the beam loaded as shown in fig.7 [MARKS 7]

(b) Determine the Stress, Strain, Modulus of Elasticity and Poisson's Ratio from the subsequent outcomes for a bar tested on UTM: Diameter= 20mm; Gauge length = 150mm; Increase in Gauge length = 14mm; reduce in Diameter = 0.85mm; Tensile load = six kN. [Marks 7]

*OR*

Q4. (a) obtain the reactions at the fixed support for a beam loaded as shown in fig.8 [MARKS 7]

(b) A beam of T shape cross part in fig.9 is subjected to beaming about x-x axis due to a moment of 20 kNm. obtain the bending stress at the top of the beam. [MARKS 7]

Q5. (a) obtain the shear stress at the junction of the flange and web of an I part shown in fig.10, if it is subjected to a Shear Force of 20 kN. [MARKS 7]

(b) Enumerate different tests needed to be carried out to obtain the mechanical properties of materials. Also define the salient points on the stress-strain curve from Tension test on Mild Steel. [MARKS 7]

*OR*

Q5. (a) Fill in the Blanks [MARKS 7]
i. Forces acting transverse to the axis of the member will produce________Stress.
ii. The _________is obtained from the stress- strain relation of a material.
iii. Ductility is the ability of a material to be drawn in the form of a _______.
iv. Statically determine structures can be analysed using the three equations of _________.
v. The constant of probability for a member under Shear stress and strain is provided by the Modulus of __________.
vi. The Bending or Flexure formula is provided by:
_________ = _______ = ________.
vii. The relationship ranging from Shear force (V) and Bending moment (M) is provided by the differential __________.

(b) The shear and normal stresses on a cross part of a beam are shown in the fig.11. obtain the Principal stresses and Direction of Principal planes. [MARKS 7]

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Attachment: gujarat-technological-university-2011-b-e-mechanical-engineering-52620-1.jpg

Earning:   Approval pending.