Advanced Structural Analysis — Winter 2019

State and explain the Muller-Breslau’s Principle.

A UDL of intensity 16 kN/m, 5 m long moving on a beam of 10 m span. Find maximum bending moment at a section 4m from left support.

Three point loads 90 kN, 75 kN and 55 kN equally spaced 3m respectively, cross a girder of 30 m span from left to right, the 55 kN load leading. Calculate absolute maximum bending moment in the beam and its location

Discuss the criteria to determine the absolute maximum bending moment and its location for a simply supported beam under rolling concentrated loads.

Calculate deflection at free end Bfor a cantilever beam AB having length 5m and loaded by a UDL of 15 kN/m over whole span using energy principle.

Asimply supported beam AB shown below, have varying moment of inertia. It is subjected to an eccentric load. Calculate deflection under the load using energy principle.

Using Castigliano’s 1st theorem, calculate the deflection at point Cfor the beam shown in Figure – 1.

Define: Carry over factor, Distribution, Factor, Stiffness factor.

What do you mean by force method and displacement method?

Find the matrices: [DQ], [DQL], [F] and [Q] with usual notations for the beam shown below. Use Flexibility method assuming vertical support reaction at B (RB) and vertical support reaction C (RC) as redundant.1

Explain strain energy with illustration.

Find distribution factors for the beam shown

Find the matrices: [AD], [ADL], [S] and [D] with usual notations for the beam shown below, using Stiffness method.

Explain with illustrations the characteristics of flexibility / stiffness matrices 0

Atwo span beam ABC has support Aas fixed support and support Band Cas roller support, span AB=3m and BC=3m. If the entire beam is loaded by udl of 20kN/m, Analyze the beam by flexibility matrix method assuming support moment at Aand reaction at Bas unknowns.

Draw bending moment diagram for the above mentioned beam in Q.4(b).

Define: Stiffness and Flexibility. Enlist the properties of Flexibility matrix

Differentiate between “restrained structure” and “released structure”. Draw any four possible released structures for the beam shown below.

Derive the Stiffness matrix [S] for the beam shown below. Also show that it satisfies the basic properties of a stiffness matrix.

Explain four virtues of an earthquake resistant design.

Discus briefly the two measures of earthquake.

Afive storeyed building has size of 30m x 30m. It is located in Bhuj and resting on hard soil. The weights of floors and height of the floors are 1800kN, 2300kN, 2300kN, 2300kN and 2000kN and 4.5m, 3.5m, 3.5m, 3.5m and 3.5m respectively from slab no.1 from bottom. Assuming the building as special moment resisting office building, calculate the horizontal shear forces acting at the each slab level by equivalent lateral force method.

Explain the plate tectonic theory and its mechanism.

What is the basic design philosophy of seismic design of structures?

A Five storey hospital building having special moment resisting frame (SMRF) located in Ahmedabad on medium soil with following data:

No. of bay in x and y-direction = (ii) Width of each bay = 4m (iii) Thickness of slab =150 mm2 (iv) Storey height = 4 m