Structural Analysis-I — Winter 2020

Differentiate Plane frame and Grid

Explain Maxwell’s theorem of reciprocal deflections.

Using Conjugate beam method, find the slope and deflection in terms of EI at free end of the cantilever beam shown in figure.

Differentiate Conjugate beam and real beam

State Moment Area theorems Iand II.

Find slope at point Aand B & deflection at point Cin terms of EI for the beam shown in figure by Macaulay’s method.

Discuss Stability checks for a dam.

Amasonry wall, 5 m high, is of solid rectangular section, 3 m wide and 1 m thick. Ahorizontal wind pressure of 1.2 kN/m2 acts on the 3 m side. Find the maximum and minimum stress induced on the base, if unit weight of masonry is 22.4 kN/m3.

Arectangular column section ABCD having AB = CD = 400 mm and BC = AD = 300 mm carries a compressive load 300 kN at corner B. Find the stress at each corner A, B, Cand Dand draw stress –distribution diagram for each side.

Derive the formula for no tension condition at base for a dam.

A “T” section is having flange with 100 mm and total depth 80 mm. The thickness of flange and web is 10 mm. The length of column is 3 m and it is hinged at both ends. If E = 2.1 x 105 N/mm2, find Euler’ buckling load.

The external and internal diameter of a hollow cast iron column are 200 mm and 150 mm respectively. If column is hinged at both ends having a length of1 4 m, determine the crippling load using Rankine formula. Take f = s 550N/mm2 and α = 1/1600.

Explain advantages of three hinged arch over beam.

Derive Euler’s formula of critical load for column having both ends hinged

Athree hinged parabolic arch hinged at the support and at the crown has a span of 24 m and a central rise of 4m. It carries a concentrated load of 50 kN at 18 m from left support and a uniformly distributed load 30 kN/m over left half portion. Determine the moment, thrust and radial shear at a section 6 m from left support.

Derive the equation of the strain energy stored in a member due to torsion.

Athin cylindrical shell of internal diameter d, wall thickness t and length I, is subjected to internal pressure p. Derive the expression for change in volume of the cylinder

Acylindrical vessel 2 m long and 500 mm in diameter with 10 mm thick plates is subjected to internal pressure of 3 MPa. Calculate the change in volume of the vessel. Take E = 200 GPa and poisson’s ratio = 0.3 for the vessel material.

Define and Explain core and Kernel of a section with suitable example.

Afixed beam of 10 m span carries central point load of 100 kN. Find fixed end moment equation using area moment method.

Using method of consistent deformation, analyze the propped cantilever beam shown in Figure, and draw shear force and bending moment diagrams.

Define resilience, proof resilience and modulus of resilience.

Derive formula for strain energy due to sudden loading.

Asteel bar 1 m length is subjected to a pull such that the maximum stress is equal to 150 N/mm2. Its cross section is 200 mm2 over length of 950 mm and for the middle 50 mm length the sectional area is 100 mm2. If E = 2 x 105 N/mm2, Calculate strain energy stored in the bar.