Structural Analysis-I — Summer 2021

Find out fixed end moment for a fixed beam of span ‘L’ carrying Point load ‘W’ at centre of the span.

Explain various types of framed structures with distinguishing features of each.

Explain in detail: i. Principal of superposition ii. Maxwell’s reciprocal theorem

What is conjugate beam? Differentiate between real beam and conjugate beam. Justify the support condition in conjugate beam

State and explain moment area theorem.

For a cantilever beam 6 m long girder AB is subjected to a uniformly distributed load of 12 kN/m over the entire span. Find Deflection at free end of the beam. Take EI = 6 x 104 kNm2. Use Macaulay’s method.

Find slope & deflection at free end of the beam shown in Figure: 1 by Moment area method. E = 200 Gpa and I=5 x 108 mm4. 10 kN 20 kN A C D B 2 m 3m 1 m (2I) (I) (I) Figure: 1

Derive an equation of y = 4r x(L−x) for three hinged parabolic arch. L2

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

Acircular column of diameter ‘d’ is subjected to a load of 230 kN at an eccentricity of 0.3d. If the maximum stress at the base of the column is limited to 90 N/mm2, determine the diameter of the column.

Explain with neat sketch: Effective length of column with different end conditions.

Explain advantages of three hinged arch over beam.

The external and internal diameter of a hollow cast iron column is 230 mm and 170 mm respectively. If column is hinged at both ends having a length of 4 m, determine the crippling load using Rankine formula. Take α = 1/1600 and f = s 550 N/mm2.

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

Give advantages of fixed beam.

Discuss the stability conditions for a dam subjected to hydrostatic pressure. OR1

Draw a neat sketches of Kernel of following cross-section:

Rectangular 400mm x 300mm

Square with 400 cm2 area

Circular section with 300 mm diameter

Discuss various types of Arches.

Explain in brief about stability of structures.

Athin cylindrical shell of diameter 1.2 m and thickness 12 mm is subjected to an internal pressure of 24 N/mm2. Find the circumferential and longitudinal stresses.

Derive an expression for strain energy stored in a body

The load is applied gradually ii) The load is applied suddenly iii) The load is applied with an impact

Define (i) Strain energy (ii) Proof resilience (iii) Modulus of Resilience

Explain Eddy’s theorem.

Determine the ratio of strain energy stored for a simply supported beam of 4m span in following two cases (i) if a point load of 30 kN is applied at centre and (ii) if it carries a uniformly distributed load of 12 kN/m over its entire span. Assume EI = Constant.