Define : (i) rigid body, (ii) deformable body, (iii) Elastic body.
[3 marks]Explain various types of load, beams and their support system.
[4 marks]Determine magnitude and direction of resultant of force system shown in Fig-1
[7 marks]State and explain Varignon’s theorem.
[3 marks]Find the reaction as shown in fig-2
[4 marks]For the beam shown in fig-3 calculate and draw shear force and bending moment diagrams.
[7 marks]Find magnitude, direction and location of forces system with respect to ‘O’ shown in fig-4 (distance are in meter).
[7 marks]Derive relation between young’s modulus (E) and bulk modulus (K) with usual notation
[3 marks]4 Using Pappus-Guldinus theorems, determine the lateral area (surface area) and volume of the right circular cone of base radius ‘r’ and altitude ‘h’
[ marks]Determine centroid of lamina as shown in fig-5
[7 marks]Define: (i) Bending Moment (ii) Point of Contra-flexure
[3 marks]4 Two forces act an angle of 120°. If the greater force is 50 kg and their resultant is perpendicular to the smaller force, find the value of smaller force
[ marks]Determine moment of inertia of Isection as shown in fig-6 about centroidal axes, AB axis and CD axis.
[7 marks]Define principal planes and principal stresses
[3 marks]Explain Stress-Strain diagram for Ductile Material
[4 marks]Arectangular copper bar 175mm wide,80mm thick and 400mm long is subjected to axial pull of 250kN. If modulus of elasticity is 110 kN/mm2and Poisson's ratio 1/3, find the change in length, width and thickness. Also calculate the change in volume of the bar.
[7 marks]Write assumption made in the theory of pure bending
[3 marks]Derive the relation T/Ip = Cθ/Lfor circular shaft with usual notations
[4 marks]Asolid circular shaft of 78 mm diameter and 1.6 m long is made from material which can resist maximum shear stress of 55 N/mm2. Find the maximum torque that the shaft can transmit. Calculate also the angle of twist.if modulus of rigidity is 60 GPa.1
[7 marks]Define: Angle of Friction and Coefficient of Friction?
[3 marks]Explain Mohr’s circle method?
[4 marks]7 Determine maximum bending stress and draw bending stress distribution in a section as shown in Fig-7 if it is subjected to a bending moment of 20 kN.m.
[ marks]Define: (1) Centroid, (2) Center of gravity, (3) Center of mass
[3 marks]State and explain the Lami’s theorem
[4 marks]Asteel bar 1.6m long is acted upon by a forces as shown in fig-8 find the elongation of the bar. Take E=210 GN/m2.2
[7 marks]