Define terms: (i) Space (ii) Time (iii) Rigid body
[3 marks]Two forces P=6 Nand Q=10 Nact on a particle and their line of actions are inclined to each other at angle of 70˚. Find resultant of these forces.
[4 marks]Define: Equilibrant. Find equilibrant of the force system shown in fig.1
[7 marks]Write the assumption made in analysis of trusses.
[3 marks]Distinguish between perfect truss, deficient truss and redundant truss.
[4 marks]Find the resultant of the force system acting on a body OABC as shown in fig. 2. Also find the point where the resultant cuts the Xaxis.
[7 marks]Explain in brief various types of beams and differentiate it in determinate or indeterminate beam.
[7 marks]Define: (i)Shear force (ii) Bending moment diagram (iii) Point of zero shear.
[3 marks]Derive relationship between rate of loading, shear force and bending moment with usual notations.
[4 marks]Find support reaction for the beam shown in fig. 3.
[7 marks]Define friction and state the laws of dry friction.
[3 marks]Explain following terms: (i) Angle of friction (ii) Angle of repose (iii) Co-efficient of friction (iv) Limiting friction
[4 marks]Draw shear force and bending moment diagrams for the beam shown in fig.4.
[7 marks]State Pappus-Guldinus theorems and its applications.
[3 marks]List down the assumptions made for the theory of pure bending.
[4 marks]Show that if the coefficient of friction between the block and the plane is 0.25, the force required to just start the block moving up the 40o incline is F= 1.38 Wwhile the force required to hold the block from sliding down the plane is F= 0.487 W.
[7 marks]Define : (i) Stress (ii) Poisson’s ratio (iii) Bulk modulus
[3 marks]Asteel bar of length 500 mm has a circular cross section of diameter 50 mm. Determine the change in length if it is subjected to axial pull of 100kN. Take E =200GPa.
[4 marks]Find the moment of inertia of Z-section as shown in fig. 5 about its both centroid axes.1
[7 marks]Define : (i) Neutral Layer (ii) Section Modulus (iii)Radius of curvature
[3 marks]Draw the shear stress distribution diagram for given shapes
[4 marks]O (ii) L (iii) H (iv) Square
[ marks]Calculate the total change in length and stresses in each portion for steel bar as shown in Fig. 6. Take E = 200 GPa
[7 marks]Define : (i) Principle plane (ii) Modulus of rigidity (iii) Torsional rigidity
[3 marks]State assumption made in theory of torsion.
[4 marks]Ashort column of 25 mm diameter carries a compressive load of 35 kN. For a plane inclined at 60º with the direction of the load, determine the normal, shear and resultant stresses. Also find the maximum shear stress and obliquity of the resultant stress. Fig. 1 Fig.2 Fig. Fig. Fig. Fig.
[5 marks]