structural analysis

A plane truss consists of two linearly elastic, homogeneous, identical members, namely PQ and QR. Both members have length (L), cross-sectional area (A), and modulus of elasticity...

The plane frame has a hinge and a roller support, and is loaded as shown in the figure. Both the columns have same height. (Figure not to scale) What is the absolute value of the m...

A 250 mm wide × 600 mm deep rectangular concrete beam is prestressed by means of 4 high-tensile tendons, each of 14 mm diameter. The centre of the tendons is 200 mm from the soffit...

A rigid-jointed portal frame, shown in the figure, consists of beam and columns of equal length L. The frame has a fixed support at one end and a roller support at the other end. T...

Consider the pin-jointed truss shown in the figure. Influence line is drawn for the axial force in the member G-I, when a unit load travels on the bottom chord of the truss. Identi...

Consider the frame shown in the figure under the loading of 100 kN.m couples at the joints B and G. Considering only the effects of flexural deformations, which of the following st...

In the rigid-jointed frame shown in the figure, the distribution factor of the member AD is closest to

In the pin-jointed truss shown in the figure, the members that carry zero force are identified. Which of the following options is/are zero-force members?

A 3 m long, horizontal, rigid, uniform beam PQ has negligible mass. The beam is subjected to a 3 kN concentrated vertically downward force at 1 m from P, as shown in the figure. Th...

For a thin-walled section shown in the figure, points P, Q, and R are located on the major bending axis X – X of the section. Point Q is located on the web whereas point S is locat...

The plane frame shown in the figure has fixed support at joint A, hinge support at joint F, and roller support at joint I. In the figure, A to I indicate joints of the frame. If th...

The beam shown in the figure is subjected to a uniformly distributed downward load of intensity q between supports A and B. Considering the upward reactions as positive, the suppor...

The plane truss shown in the figure has 13 joints and 22 members. The truss is made of a homogeneous, prismatic, linearly elastic material. All members have identical axial rigidit...

Muller-Breslau principle is used in analysis of structures for ____________.

In the frame shown in the figure (not to scale), all four members (AB, BC, CD, and AD) have the same length and same constant flexural rigidity. All the joints A, B, C, and D are r...

Consider the following three structures: Structure I: Beam with hinge support at A, roller at C, guided roller at E, and internal hinges at B and D Structure II: Pin-jointed truss,...

Consider the pin-jointed truss shown in the figure (not to scale). All members have the same axial rigidity, AE. Members QR, RS, and ST have the same length L. Angles QBT, RCT, SDT...

A beam is subjected to a system of coplanar forces as shown in the figure. The magnitude of vertical reaction at Support P is ________ N (round off to one decimal place).

An idealised bridge truss is shown in the figure. The force in Member U2L3 is _________ kN (round off to one decimal place).

Muller-Breslau principle is used in analysis of structures for ________.

Consider a beam PQ fixed at P, hinged at Q, and subjected to a load F as shown in figure (not drawn to scale). The static and kinematic degrees of indeterminacy, respectively, are

A semi-circular bar of radius R m, in a vertical plane, is fixed at the end G, as shown in the figure. A horizontal load of magnitude P kN is applied at the end H. The magnitude of...

Which of the following statement(s) is/are correct?

The plane truss shown in the figure is subjected to an external force P. It is given that P = 70 kN, a = 2 m, and b = 3 m. The magnitude (absolute value) of force (in kN) in member...

Consider the linearly elastic plane frame shown in the figure. Members HF, FK and FG are welded together at joint F. Joints K, G and H are fixed supports. A counter-clockwise momen...

Consider a simply supported beam PQ as shown in the figure. A truck having 100 kN on the front axle and 200 kN on the rear axle, moves from left to right. The spacing between the a...

A truss EFGH is shown in the figure, in which all the members have the same axial rigidity R. In the figure, P is the magnitude of external horizontal forces acting at joints F and...

Refer the truss as shown in the figure (not to scale). If load, F = 10√3 kN, moment of inertia, I = 8.33 × 10^6 mm^4, area of cross-section, A = 10^4 mm^2, and length, L = 2 m for...

A perfectly flexible and inextensible cable is shown in the figure (not to scale). The external loads at F and G are acting vertically. The magnitude of tension in the cable segmen...

Employ stiffness matrix approach for the simply supported beam as shown in the figure to calculate unknown displacements/rotations. Take length, L = 8 m; modulus of elasticity, E =...

Consider the planar truss shown in the figure (not drawn to the scale) Neglecting self-weight of the members, the number of zero-force members in the truss under the action of the...

A planar elastic structure is subjected to uniformly distributed load, as shown in the figure (not drawn to the scale) Neglecting self-weight, the maximum bending moment generated...

Distributed load(s) of 50 kN/m may occupy any position(s) (either continuously or in patches) on the girder PQRST as shown in the figure (not drawn to the scale) The maximum negati...

A plane truss is shown in the figure (not drawn to scale). Which one of the options contains ONLY zero force members in the truss?

Consider the pin-jointed plane truss shown in the figure (not drawn to scale). Let R_P, R_Q, and R_R denote the vertical reactions (upward positive) applied by the supports at P, Q...

The degree of static indeterminacy of the plane frame as shown in the figure is

The rigid-jointed plane frame QRS shown in the figure is subjected to a load P at the joint R. Let the axial deformations in the frame be neglected. If the support S undergoes a se...

A portal frame shown in figure (not drawn to scale) has a hinge support at joint P and a roller support at joint R. A point load of 50 kN is acting at joint R in the horizontal dir...

All the members of the planar truss (see figure), have the same properties in terms of area of cross-section (A) and modulus of elasticity (E). For the loads shown on the truss, th...

Consider the frame shown in the figure: If the axial and shear deformations in different members of the frame are assumed to be negligible, the reduction in the degree of kinematic...

A planar truss tower structure is shown in the figure. Consider the following statements about the external and internal determinacies of the truss. (P) Externally Determinate (Q)...

Four bolts P, Q, R and S of equal diameter are used for a bracket subjected to a load of 130 kN as shown in the figure. The force in bolt P is

Two prismatic beams having the same flexural rigidity of 1000 kN-m² are shown in the figures. If the mid-span deflections of these beams are denoted by $\delta_1$ and $\delta_2$ (a...

Consider the beam ABCD shown in the figure. For a moving concentrated load of 50 kN on the beam, the magnitude of the maximum bending moment (in kN-m) obtained at the support C wil...

Consider the deformable pin-jointed truss with loading, geometry and section properties as shown in the figure. Given that E = 2×10¹¹ N/m², A = 10 mm², L = 1 m and P = 1 kN. The ho...

The unit load method used in Structural analysis is

Muller Breslau Principle in structural analysis is used for

The fixed end moment of a uniform beam of span $$l$$ fixed at the ends, subjected to a central point load $$P$$ is