Structural Analysis-I (CE-403) - Important Questions

State and explain the principle of virtual work and its application to deformable bodies / flexural members.

State the assumptions made in the analysis of a simple truss.

Define/state Maxwell's reciprocal deflection theorem.

Determine the forces in the members of a pin-jointed plane truss.

State and derive Maxwell's reciprocal theorem (from Betti's theorem).

Explain the advantage of the method of sections over the method of joints.

Given deflection and slope at the free end of a uniformly loaded cantilever, determine the length of the beam.

Determine the moment to be applied at the free end of the cantilever for zero vertical deflection at the point.

Determine the deflection and slope at Q for cantilever PQR with segment PQ of rigidity $EI$ and segment QR of infinite rigidity.

Explain the meaning and concept of strain energy

Determine the deflection under the 60 kN load in the given beam using virtual work / unit load method.

Distinguish between pin-jointed and rigidly jointed structures.

Explain indeterminacy and static indeterminacy vs kinematic indeterminacy, including degree of indeterminacy, classification and examples.

Determine the degree of static indeterminacy and degree of kinematic indeterminacy (or their sum) for a given plane frame.

Analyse a continuous beam by moment distribution method to find support moments/reactions and draw bending moment diagram

Analyze continuous beam ABC by three-moment theorem to find support moments and draw bending moment diagram

Explain sway vs non-sway analysis

Define distribution factor and stiffness factor

Determine prop reaction and mid-span deflection for a propped cantilever with sinking prop.

Determine support moments for a continuous beam with settlement of an intermediate support.

Determine end moments and vertical reactions for a fixed beam with UDL over full span plus differential support settlement.

Determine fixed end moments for loaded beam and draw bending moment diagram

Find maximum bending moment and maximum deflection for fixed beam with uniformly distributed load

Analyze continuous beam by three-moment equation and draw shear force and bending moment diagrams

Analyse a two-span continuous beam by the slope deflection method and draw the bending moment diagram (including support moments/reactions).

Analyse a three-span continuous beam ABCD by the slope deflection method to find support moments and reactions and draw SFD/BMD.

Explain the column analogy method for analysis of a beam with a suitable example.

Determine fixed end moments for a fixed beam with point load and couple using the column analogy method.

State and explain Eddy's theorem in arches.

Classify the arches based on material, shapes and structural system.

What is a cable and what are the assumptions in force analysis of cables?

Find the horizontal thrust at support A for the given three-hinged arch loading shown in figure.

State the formula for horizontal thrust at supports of a three-hinged parabolic arch of span $l$ and rise $h$ under full-span UDL $w$.

Derive the horizontal thrust for a two-hinged parabolic arch of span L and rise h carrying a concentrated load W at the crown.

Determine tensions in segments and total length for a cable with concentrated loads between supports at same level.

For a three-hinged parabolic arch with moving train of two point loads, find the maximum thrust induced at the supports.

Determine difference between greatest and least tensions for a cable with uniformly distributed load with given span and central dip.

For a three-hinged parabolic arch with UDL on left half span, find horizontal thrust and location and magnitude of maximum bending moment.

For an unsymmetrical three-hinged parabolic arch with point loads, find support reactions and bending moment under the loads.

Define principle of virtual work, temperature effect on three-hinged arches, and effect of rib shortening on two-hinged arches.

Identify the influence line diagram for bending moment at mid-span of a fixed beam.

Maximum bending moment at a section due to a moving uniformly distributed load of limited length crossing a simply supported girder.

Calculate ordinates at intervals and draw influence line for moment at mid-span.

Define Muller-Breslau principle, Castigliano's theorems, strain energy method and influence line diagram.

Determine maximum force in a truss member due to moving UDL using given influence line diagram.

Determine shear force and bending moment at a beam section due to concentrated load using given influence lines.

Maximum positive and negative bending moment at a section due to two moving concentrated wheel loads.

Construct influence line for a truss diagonal member.

Explain the importance of influence line diagrams with examples.

What do you understand by stability of structure?

In construction why are the lintels preferred to arches?

If the deflection at the free end of a uniformly loaded cantilever beam is 15 mm and the slope of the deflection curve at the free end is 0.02 radian, then the length of the beam is

A cantilever beam with a uniform flexural rigidity ($EI = 200 \times 10^6 Nm^2$) is loaded with a concentrated force at its free end. The area of the bending moment diagram corresponding to the full length of the beam is 10000 $Nm^2$. Find out the magnitude of the slope of beam at its free end.