Question 1

Principle of superposition is applicable when

Accepted Answer

The principle of superposition is applicable when deflections are linear functions of applied forces, which is typically the case when materials obey Hooke's Law and deformations are small.

Question 2

The Castigliano's second theorem can be used to compute deflections

Accepted Answer

Castigliano's second theorem is applicable for any type of structure, as it is a method used to determine deflections by considering the partial derivative of the total strain energy with respect to a load.

Question 3

When a load crosses a through type Pratt truss in the direction left to right, the nature of force in any diagonal member in the left half of the span would

Accepted Answer

As the load moves from left to right, the diagonal members in the left half of a Pratt truss will change from compression to tension due to the reversal of shear forces.

Question 4

Which of the following methods of structural analysis is a force method?

Accepted Answer

The column analogy method is a force method of structural analysis. In force methods, the primary unknowns are forces (such as axial forces, shear forces, and moments), and compatibility conditions are used to solve the structure. The column analogy method uses an analogy between the behavior of columns under loads and the behavior of the structure to find the moments and shears in the structure.

Question 5

Which of the following is not the displacement method?

Accepted Answer

The equilibrium method is not a displacement method; it is based on satisfying equilibrium conditions directly. The column analogy method, moment distribution method, and Kani's method are all displacement methods, which involve displacing the structure and calculating the resulting moments and forces.

Question 6

For a two-hinged arch, if one of the supports settles down vertically, then the horizontal thrust

Accepted Answer

The answer of For a two-hinged arch, if one of...

Question 7

The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in

Accepted Answer

The deflection at any point of a perfect frame can be obtained by applying a unit load at the joint in the direction in which the deflection is required. This is based on the principle of virtual work or unit load method for structural analysis.

Question 8

The principle of virtual work can be applied to elastic system by considering the virtual work of

Accepted Answer

The principle of virtual work for elastic systems takes into account the virtual work done by both internal and external forces. Internal forces account for the system's response to deformations, while external forces are those applied to the system from the outside.

Question 9

If in a rigid-jointed space frame, (6m + r) < 6j, then the frame is

Accepted Answer

For a rigid-jointed space frame to be stable and statically determinate, the equation (6m + r) = 6j must hold, where m is the number of members, r is the number of reactions, and j is the number of joints. If (6m + r) < 6j, it means there are not enough members and reactions to prevent movement, making the frame unstable.

Question 10

The three moments equation is applicable only when

Accepted Answer

The three moments equation is applicable when there are no discontinuities such as hinges within the span, as it assumes continuous spans for its derivation and application.

Question 11

Which of the following methods of structural analysis is a displacement method?

Accepted Answer

The moment distribution method is a displacement method used for analyzing indeterminate structures by iteratively balancing moments at joints.

Question 12

The fixed support in a real beam becomes in the conjugate beam a

Accepted Answer

In the conjugate beam method, a fixed support in the real beam corresponds to a free end in the conjugate beam. This is because the moment at a fixed support in the real beam is non-zero, which translates to a non-zero slope at the corresponding point in the conjugate beam, indicative of a free end.

Question 13

For a symmetrical two hinged parabolic arch, if one of the supports settles horizontally, then the horizontal thrust

Accepted Answer

The answer of For a symmetrical two hinged parabolic arch,...

Question 14

A load 'W T maximum bending moment at 0.4 1 from the left support is

Accepted Answer

The maximum bending moment at a distance of 0.4l from the left support for a uniformly distributed load W on a simply supported beam is calculated using the formula M = W * x * (l - x) / l, where x is the distance from the left support. Substituting x = 0.4l, the maximum bending moment is 0.24wl.

Question 15

In the displacement method of structural analysis, the basic unknowns are

Accepted Answer

In the displacement method of structural analysis, the primary unknowns are the displacements of the structure's nodes or points. This method focuses on determining these displacements, from which forces and moments can subsequently be calculated.

Question 16

In moment distribution method, the sum of distribution factors of all the members meeting at any joint is always

Accepted Answer

The sum of distribution factors of all members meeting at any joint is always 1 because the distribution factors are fractions of the total flexibility at the joint, representing how moment is distributed among the connected members.

Question 17

The width of the analogous column in the method of column analogy is

Accepted Answer

In the method of column analogy, the width of the analogous column is given by 1/EI, where E is the modulus of elasticity and I is the moment of inertia.

Question 18

Degree of kinematic indeterminacy of a pin-jointed plane frame is given by

Accepted Answer

The degree of kinematic indeterminacy for a pin-jointed plane frame is given by the formula 2j - r, where j is the number of joints and r is the number of reaction components.

Question 19

The number of independent equations to be satisfied for static equilibrium of a plane structure is

Accepted Answer

For static equilibrium of a plane structure, there are three independent equations to be satisfied: the sum of all horizontal forces equals zero, the sum of all vertical forces equals zero, and the sum of all moments about any point equals zero.

Question 20

While using three moments equation, a fixed end of a continuous beam is replaced by an additional span of

Accepted Answer

When using the three moments equation for a continuous beam, a fixed end is modeled as an additional span of zero length to simplify calculations and maintain the equation's structure.

Quiz 1: Structural Analysis Principles and Methods