Question 1

Independent displacement components at each joint of a rigid-jointed plane frame are
A)three linear movements
B)two linear movements and one rotation
C)one linear movement and two rotations
D)three rotations

Accepted Answer

In a rigid-jointed plane frame, each joint can experience two linear movements (along the x and y axes) and one rotation (about the z-axis), making option B the correct answer.

Question 2

If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by
A)m + r + 2j
B)m - r + 2j
C)m + r - 2j
D)m + r - 3j

Accepted Answer

The degree of static indeterminacy of a pin-jointed plane frame is given by the formula $m + r - 2j$, where $m$ is the number of unknown member forces, $r$ is the number of unknown reaction components, and $j$ is the number of joints. This formula accounts for the equilibrium equations available at each joint in two dimensions (horizontal and vertical force balances).

Question 3

The carryover factor in a prismatic member whose far end is fixed is
A)0
B)1/2
C)3/4
D)1

Accepted Answer

The carryover factor for a prismatic member with the far end fixed is 1/2. This is because when a moment is applied at one end of a fixed-fixed beam, half of that moment is carried over to the other end.

Question 4

Effects of shear force and axial force on plastic moment capacity of a structure are respectively to
A)increase and decrease
B)increase and increase
C)decrease and increase
D)decrease and decrease

Accepted Answer

Shear force reduces the plastic moment capacity by causing additional stresses, while axial force, particularly compressive, also reduces it by increasing the likelihood of buckling or yielding.

Question 5

The maximum bending moment due to a train of wheel loads on a simply supported girder
A)always occurs at centre of span
B)always occurs under a wheel load
C)never occurs under a wheel load
D)none of the above

Accepted Answer

The maximum bending moment in a simply supported beam due to a train of wheel loads occurs under one of the wheel loads. This is because the bending moment is influenced by the position of the loads, and the maximum value is reached when one of the loads is positioned in such a way that it maximizes the bending moment, typically near the center but not necessarily at the exact center.

Question 6

When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel load occurs when
A)the centre of gravity of the load system is midway between the centre of span and wheel load under consideration
B)the centre of span is midway between the centre of gravity of the load system and the wheel load under consideration
C)the wheel load under consideration is midway between the centre of span and the centre of gravity of the load system
D)none of the above

Accepted Answer

The answer of When a series of wheel loads crosses...

Question 7

Castigliano's first theorem is applicable
A)for statically determinate structures only
B)when the system behaves elastically
C)only when principle of superposition is valid
D)none of the above

Accepted Answer

The answer of Castigliano's first theorem is applicable
A)for statically determinate...

Question 8

Number of unknown internal forces in each member of a rigid jointed plane frame is
A)1
B)2
C)3
D)6

Accepted Answer

In each member of a rigid jointed plane frame, there are three unknown internal forces: axial force, shear force, and bending moment.

Question 9

The number of independent equations to be satisfied for static equilibrium in a space structure is
A)2
B)3
C)4
D)6

Accepted Answer

For static equilibrium in a space structure, there are six independent equations to be satisfied: three for translational equilibrium (sum of forces in x, y, and z directions equals zero) and three for rotational equilibrium (sum of moments about x, y, and z axes equals zero).

Question 10

Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is
A)2
B)3
C)6
D)8

Accepted Answer

The answer of Degree of static indeterminacy of a rigid-jointed...

Question 11

The degree of static indeterminacy up to which column analogy method can be used is
A)2
B)3
C)4
D)unrestricted

Accepted Answer

The answer of The degree of static indeterminacy up to...

Question 12

A single rolling load of 8 kN rolls along a girder of 15 m span. The absolute maximum bending moment will be
A)8 kn.m
B)15 kn.m
C)30 kn.m
D)60 kn.m

Accepted Answer

The absolute maximum bending moment for a single rolling load occurs at the center of the span and is equal to the product of the load and half the span. Therefore, the absolute maximum bending moment is 8 kN * 15 m / 2 = 60 kN-m.

Question 13

The deformation of a spring produced by a unit load is called
A)stiffness
B)flexibility
C)influence coefficient
D)unit strain

Accepted Answer

Flexibility is the measure of deformation produced by a unit load on a spring.

Quiz 2: Structural Analysis and Design

Independent displacement components at each joint of a rigid-jointed plane frame are

If there are m unknown member forces, r unknown reaction components and j number of joints, then the degree of static indeterminacy of a pin-jointed plane frame is given by

The carryover factor in a prismatic member whose far end is fixed is

Effects of shear force and axial force on plastic moment capacity of a structure are respectively to

The maximum bending moment due to a train of wheel loads on a simply supported girder

When a series of wheel loads crosses a simply supported girder, the maximum bending moment under any given wheel load occurs when

Castigliano's first theorem is applicable

Number of unknown internal forces in each member of a rigid jointed plane frame is

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

Degree of static indeterminacy of a rigid-jointed plane frame having 15 members, 3 reaction components and 14 joints is

The degree of static indeterminacy up to which column analogy method can be used is

A single rolling load of 8 kN rolls along a girder of 15 m span. The absolute maximum bending moment will be

The deformation of a spring produced by a unit load is called