Sathyabama University Applied Mechanics April 2014

Register Number

                               

SATHYABAMA UNIVERSITY

(Established under section 3 of UGC Act,1956)

Course & Branch :B.Arch - ARCH

Title of the Paper :Applied Mechanics                  Max. Marks :80

Sub. Code :621204/SCIX1014(2009/2010/2011/2012/2013)

                                                                                Time : 3 Hours

Date :22/04/2014                                                    Session :AN

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                                       PART - A                    (8 x 4 = 32)

                        Answer ALL the Questions

1.     Define parallelogram law and triangle law of forces.

2.     Define moment of force and what are the methods of analysis of a truss?

3.     Define Hooke’s law and Poisson’s ratio.

4.     If the values of modulus of elasticity and Poisson’s ratio for an alloy body is 150 GPa and 0.25 respectively, determine the value of bulk modulus for the alloy.

5.     Find the centre of gravity of a 100mm x 150mm x 30mm T-section.

6.     Explain parallel axis theorem and perpendicular axis theorem.

7.     Define shear force and bending moment.

8.     Draw the sign conventions for shear force and bending moment.

PART – B                       (4 x 12 = 48)

Answer All the Questions

9.     An inclined truss is loaded as shown in figure.  Determine the nature and magnitude of the forces in the members BC, GC and GF of the truss.

(or)

10.   A frame of 6m span is carrying a central load of 10 kN as shown in figure. Find by any method the magnitude and nature of forces in all the members of the structure.

11.   A compound bar ABC 1.5m long is made up of two parts of aluminium and steel and that cross-sectional area of aluminium bar is twice that of the steel bar.  The rod is subjected to an axial tensile load of 200 kN.  If the elongations of aluminium and steel parts are equal, find the lengths of the two parts of the compound bar.  Take E for steel as 200 GPa and E for aluminium as one-third of E for steel.

(or)

12.   An allow circular bar ABCD 3m long is subjected to a tensile force of 50kN as shown in figure.  If the stress in the middle portion BC is not to exceed 150 MPa, then what should be its diameter?  Also find the length of the middle portion, if the total extension of the bar should not exceed by 3mm.  Take E as 100 GPa.

13.   A body consists of a right circular solid cone of height 40mm and radius 30mm placed on a solid hemisphere of radius 30mm of the same material.  Find the position of centre of gravity of the body.

(or)

14.   Figure shows the cross-section of a cast iron beam.  Determine the moment of inertia of the section about horizontal and vertical axes passing through the centroid of the section.

15.   A cantilever beam of 1.5m span is loaded as shown in figure.  Draw the shear force and bending moment diagrams.

(or)

16.   A simply supported beam of 4m span is carrying loads as shown in figure.  Draw the shear force and bending moment diagrams for the beam.

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