Define the terms: Determinate Structures & Indeterminate Structures.
[3 marks]Explain Simple Truss, Complex Truss and Compound Truss with suitable sketches.
[4 marks]State and prove “Maxwell’s Reciprocal Theorem”.
[7 marks]Suggest the different ways of reducing the effect of buckling in long columns.
[3 marks]Explain the Principle of Super position with its statement.
[4 marks]Determine the position and value of maximum deflection in the beam as shown in fig.-1 using Macaulay’s Method. Take EI as constant.
[7 marks]State the significance of Zero Force Member in trusses.
[3 marks]Derive the Differential Equation of an elastic curve.
[4 marks]Determine the slope and deflection at free end of a cantilever beam having 4.0 m span and subjected to two equidistant point loads of 10 kN each. The flexural rigidity of first portion (i.e from fixed end ) is 2EI and second portion (i.e from free end ) is EI. Use any method of choice.
[7 marks]Define: Proof Resilience and Modulus of Resilience.
[3 marks]An I-Section has 260 mm depth and 120 mm width. Thickness of flange and web is 10 mm. It is used as a column with one end fixed and other hinged using Euler’s Formula. Determine Safe Load using FOS = 3 and length of column = 8.0 m. Take E = 2 x 105 N/mm2.
[4 marks]Find the internal forces in truss members for a plane truss as shown in fig. - 2 using Method of Tension Co-efficient.
[7 marks]Explain Simple Harmonic Motion for the vibratory body.
[3 marks]State the theorems of Moment Area Method.
[4 marks]Derive the Euler’s equation for effective length of long column if both the ends of the column are hinged.
[7 marks]Define: Slenderness Ratio and Radius of Gyration.
[3 marks]Enlist the various methods to determine slope and deflection in determinate structures.
[4 marks]Derive the expression for determining tension coeffient in any member of a plane truss.
[7 marks]Define the terms: Amplitude and Frequency.
[3 marks]State the rules to be followed for analyzing a beam using Macaulay’s Method.1
[4 marks]Asteel rod having length 4.0 m and 40 mm diameter is subjected to an axial pull of 160 kN that is suddenly applied. Determine the instantaneous stress and instantaneous elongation produced in the rod. Take E = 2 X 105 N/mm2.
[7 marks]Explain D’Alembert’s Principle.
[3 marks]State the assumptions and limitations of Euler’s Theory of Column Buckling.
[4 marks]Derive the equation for strain energy induced in a body due to shear. Figure-1 Figure-22
[7 marks]