1.
Independent displacement component at each joint of a rigid jointed plane frame are
Correct Answer
B. Two linear movements and one rotation
Explanation
In a rigid jointed plane frame, each joint can have three degrees of freedom. This means that each joint can move in three independent directions. Two of these movements are linear, which means the joint can move along two different axes. The third movement is rotational, which means the joint can rotate around a specific axis. Therefore, the correct answer is two linear movements and one rotation.
2.
A single rolling load of 8KN rolls along a girder of 15m span. The absolute maximum bending moment will be
Correct Answer
C. 30 KN-m
Explanation
The absolute maximum bending moment will be 30 KN-m because the bending moment is directly proportional to the load and the span length. In this case, the load is 8KN and the span length is 15m. Therefore, the bending moment can be calculated as the product of the load and the span length, which is 8KN x 15m = 120 KN-m. However, since the bending moment is absolute maximum, it will be half of the calculated value, which is 120 KN-m / 2 = 60 KN-m. Hence, the correct answer is 30 KN-m.
3.
Deformation of spring produced by a unit load is called
Correct Answer
B. Flexibility
Explanation
Flexibility refers to the deformation or change in shape of a spring when a unit load is applied to it. It measures the ability of the spring to undergo elastic deformation under the applied load. A flexible spring will experience a significant change in shape, while a stiff spring will resist deformation. Therefore, flexibility is the correct answer as it accurately describes the deformation of a spring produced by a unit load.
4.
By applying the static equations i.e. ΣH = 0, ΣV = 0 and ΣM = 0, to a determinate structure, we may determine
Correct Answer
E. All the above.
Explanation
By applying the static equations Î£H = 0, Î£V = 0, and Î£M = 0 to a determinate structure, we can determine the supporting reactions, shear forces, bending moments, and internal forces. These equations allow us to analyze the equilibrium of the structure and calculate the various forces and moments acting on it. Therefore, all of the options mentioned in the question (supporting reactions, shear forces, bending moments, and internal forces) can be determined by applying these static equations.
5.
The general expression for the B.M. of a beam of length l is the beam carries
Correct Answer
A. A uniformly distributed load w/unit length
Explanation
The correct answer is "a uniformly distributed load w/unit length." This means that the beam carries a load that is evenly distributed along its length, with a magnitude of w per unit length. This type of load is commonly used in engineering calculations and is represented by a constant load per unit length applied to the beam.
6.
Pick up the correct statement from the following:
Correct Answer
E. All the above.
Explanation
The correct statement is "All the above." This means that all of the statements mentioned in the options are correct. For a uniformly distributed load, the shear force varies linearly. For a uniformly distributed load, the bending moment curve is a parabola. For a load varying linearly, the shear force curve is a parabola. And for a load varying linearly, the bending moment curve is a cubic parabola. Therefore, all of these statements are true.
7.
The effects of shear force and axial force on plastic moment capacity of a structure are respectively to
Correct Answer
D. Decrease and decrease
Explanation
When shear force is applied to a structure, it causes the material to deform and ultimately leads to a decrease in the plastic moment capacity. This is because shear force weakens the structural integrity and reduces the ability of the material to resist bending moments. Similarly, axial force also decreases the plastic moment capacity of a structure. Axial force causes the material to compress or elongate, which can result in buckling or instability, further reducing the capacity to resist bending moments. Therefore, both shear force and axial force have a negative effect on the plastic moment capacity, leading to a decrease in it.
8.
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base, is
Correct Answer
E. 3.0
Explanation
The ratio of moments of inertia of a triangular section about its base and about a centroidal axis parallel to its base is 3.0. This means that the moment of inertia about the base is three times larger than the moment of inertia about the centroidal axis. This is because the moment of inertia is directly proportional to the square of the distance from the axis of rotation. Since the base is farther away from the axis compared to the centroidal axis, the moment of inertia about the base is larger.
9.
Degree of kinematic indeterminacy of a pin-jointed plane frame is given by
Correct Answer
A. 2j-r
Explanation
The degree of kinematic indeterminacy of a pin-jointed plane frame is determined by the number of joints (j) and the number of reaction components (r). The formula for calculating the degree of kinematic indeterminacy is 2j - r. This formula takes into account the number of independent displacements and the number of independent equilibrium equations. By subtracting the number of reaction components from twice the number of joints, we can determine the degree of kinematic indeterminacy.
10.
The ratio of shear stress and shear strain of an elastic material, is
Correct Answer
E. Both (a) and (b)
Explanation
The correct answer is both (a) and (b). The ratio of shear stress and shear strain of an elastic material can be expressed by both the Modulus of Rigidity and the Shear Modulus. These terms are used interchangeably to represent the same concept. Young's Modulus and Modulus of Elasticity, on the other hand, represent the ratio of normal stress and normal strain, and are not directly related to shear stress and shear strain.
11.
No. of independent equations to be satisfied for static equilibrium in a space structure
Correct Answer
D. 6
Explanation
In a space structure, static equilibrium requires that all forces and moments acting on the structure balance out. This means that the sum of all forces in the x, y, and z directions must be zero, and the sum of all moments about each axis must also be zero. Since there are three equations for each direction (x, y, z) and three equations for each moment (x, y, z), the total number of independent equations to be satisfied for static equilibrium in a space structure is 6.
12.
A three hinged arch is generally hinged at its supports and
Correct Answer
C. Any where in the rib
Explanation
A three hinged arch is generally hinged at its supports, which means it is hinged at the points where it connects to the ground or other structures. Additionally, it can also be hinged at any point along the rib, which is the curved part of the arch. This allows for flexibility and movement in the structure, accommodating for different loads and forces. Therefore, the correct answer is "anywhere in the rib."
13.
The forces in the members of simple trusses, may be analysed by
Correct Answer
D. All the above
Explanation
The forces in the members of simple trusses can be analyzed using a graphical method, which involves drawing the truss and determining the forces in each member based on equilibrium conditions. The method of joints can also be used, where the forces in the members are determined by considering the equilibrium of forces at each joint. Additionally, the method of sections can be employed, which involves cutting the truss into sections and analyzing the forces in the members based on equilibrium conditions. Therefore, all of the above methods can be used to analyze the forces in the members of simple trusses.
14.
At yield point of a test piece, the material
Correct Answer
D. Undergoes plastic deformation
Explanation
At the yield point of a test piece, the material undergoes plastic deformation. This means that the material experiences a permanent change in shape or size when a load is applied to it. Unlike elastic deformation, where the material returns to its original shape after the load is removed, plastic deformation is irreversible. This indicates that the material has reached its yield strength and can no longer return to its original state.
15.
The ratio of lateral strain to axial strain of a homogeneous material, is known
Correct Answer
C. Poisson's ratio
Explanation
Poisson's ratio is the ratio of lateral strain to axial strain in a homogeneous material. It describes how a material deforms in response to an applied force. When a material is stretched or compressed in one direction, Poisson's ratio determines how it will expand or contract in the perpendicular direction. It is a fundamental property of materials and is used to understand their mechanical behavior.