Consider a simply supported beam with a uniformly distributed load having a neutral axis (NA) as shown. For points P (on the neutral axis) and Q (at the bottom of the beam) the state of stress is best represented by which of the following pairs?

The value of W that results in the collapse of the beam shown in the adjoining figure and having a plastic moment capacity of M_p is

For the cantilever bracket PQRS, loaded as shown in the adjoining figure (PQ = RS = L, and, QR = 2L), which of the following statements is FALSE?

The major and minor principal stresses at a point are 3 MPa and -3 MPa respectively. The maximum shear stress at the point is

For the truss shown in the figure, the force in the member QR is

The number of independent elastic constants for a linear elastic isotropic and homogeneous material is

The effective length of a column of length L fixed against rotation and translation at one end and free at the other end is

Two people weighing W each are sitting on a plank of length L floating on water at ^{$\frac{L}{4}$} from either end. Neglecting the weight of the plank, the bending moment at the centre of the plank is

An axially loaded bar is subjected to a normal stress of 173 MPa. The shear stress in the bar is

A steel column, pinned at both ends, has a buckling load of 200 kN. If the column is restrained against lateral movement at its mid-height, its buckling load will be

For an isotropic material, the relationship between the Young’s modulus (E), shear modulus (G) and Poisson’s ratio ($\mu$) is given by

The stiffness coefficient k_ij indicates

The Young's modulus of a wire of of length L and radius r is Y Nm². If the length is reduced to L/2, and radius r/2, its Young's modulus will be

A thin-walled cylindrical pressure vessel having a radius of 0.5 m and wall thickness of 25 mm is subjected to an internal pressure of 700 kPa. The hoop stress developed is

The point within the cross-sectional plane of a beam through which the resultant of the external loading on the beam has to pass through to ensure pure bending without twisting of the cross-section of the beam is called

T-section of a beam is formed by gluing wooden planks as shown in the figure below. If this beam transmits a constant vertical shear force of 3000 K, the glue at any of the four joints will be subjected to a shear force (in kN per meter length) of

For the section shown below, second moment of the area about an axis d/4 distance above the bottom of the area is

If a beam of rectangular cross-section is subjected to a vertical shear force V, the shear force carried by the upper one-third of the cross-section is

Vertical reaction developed at B in the frame be-low due to the applied load of 100 kN (with 150, 000mm² crosssectional area and 3.125 x 10⁹ mm4 moment of inertia for both members) is

Carry-over factor C_AB for the beam shown in the figure below is

Consider the beam ABCD and the influence line as shown below. The inflience the pertains to