Questions & Answers of Structural Analysis

Question No. 7

The figure shows a two-hinged  parabolic arch of spam L subjected to uniformly distributed load of  intensity  q per unit length

The maximum bending moment  in the arch is qual to 

Question No. 29

A planar truss tower structure is shown in the figure.

Consider the following statement about the external and internal deteriminacies of the truss.

(P) Externally Determinate
(Q) External static Indeterminancy = 1
(R) External static Indeterminancy = 2
(S) Internally Determinate
(T) Internal static Indeterminancy = 1
(U) Internal static Indeterminancy = 2
Which one of the following option is correct?

Question No. 40

The value of M in the beam ABC shown in the figure is such that the joint B does not rotate.

The value of support reaction (in kN) at B should be equal to __________________

Question No. 41

Consider the beam ABCD shown in the figure.

For a moving concentraed load of 50kN on the magnitude of the maximum bending moment (in kN-m) obtained at the support C will be equal  to ____________

Question No. 114

Consider the frame shown in the figure:

If the axial and shear deformations in diferent members of the frame are assumed to be negligible, the reduction in the degree of kinematical indeterminacy would be equal to

Question No. 142

Consider  the portal frame shown in the figure and assume the modulus of elasticity, $ \style{font-family:'Times New Roman'}{E=2.5\times10^4}$ MPa and the moment of inertia, $ \style{font-family:'Times New Roman'}{I=8\times10^8}$ mm4 for all the members of the frame.

The rotation (in degrees, up to one decimal place ) at the rigid joint Q would be ____________

Question No. 16

Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint B be HB and VB, respectively and VC be the vertical reaction at the joint C.

Which one of the following sets gives the correct values of VB, HB and VC?

Question No. 43

A plane truss with applied loads is shown in the figure.

The members which do not carry any force are

Question No. 116

The kinematic indeterminacy of the plane truss shown in the figure is

Question No. 143

The portal frame shown in the figure is subjected to a uniformly distributed vertical load w (per unit length).

The bending moment in the beam at the joint ‘Q’ is

Question No. 17

For the beam shown below, the stiffness coefficient K22 can be written as

Question No. 47

For the 2D truss with the applied loads shown below, the strain energy in the member XY is _______ kN-m. For member XY, assume AE=30 kN, where A is crosssection area and E is the modulus of elasticity.

Question No. 118

A guided support as shown in the figure below is represented by three springs (horizontal, vertical and rotational) with stiffness kx, ky and $k_\theta$ respectively. The limiting values of kx, ky and $k_\theta$ are :

Question No. 143

A simply supported beam AB of span, L = 24 m is subjected to two wheel loads acting at a distance, d = 5 m apart as shown in the figure below. Each wheel transmits a load, P = 3 kN and may occupy any position along the beam . If the beam is an I-section having section modulus, S = 16.2 cm3, the maximum bending stress (in GPa) due to the wheel loads is_____________.

Question No. 21

The degree of static indeterminacy of a rigid jointed frame PQR supported as shown in the figure is

Question No. 22

In a beam of length L, four possible influence line diagrams for shear force at a section located at a distance of L4 from the left end support (marked as P, Q, R and S) are shown below. The correct influence line diagram is

Question No. 41

For the cantilever beam of span 3 m (shown below), a concentrated load of 20 kN applied at the free end causes a vertical displacement of 2 mm at a section located at a distance of 1 m from the fixed end. If a concentrated vertically downward load of 10 kN is applied at the section located at a distance of 1 m from the fixed end (with no other load on the beam), the maximum vertical displacement in the same beam (in mm) is __________

Question No. 42

For the truss shown below, the member PQ is short by 3 mm. The magnitude of vertical displacement of joint R (in mm) is _______________

Question No. 122

The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is ______________

Question No. 143

Considering the symmetry of a rigid frame as shown below, the magnitude of the bending moment (in kNm) at P (preferably using the moment distribution method) is

Question No. 10

The pin-jointed 2-D truss is loaded with a horizontal force of 15 KN at joint S and another 15 KN vertical force at joint U, as shown.Find the force in member RS (in KN) and report your answer taking tension as positive and compression as negative. __________

Question No. 31

All members in the rigid-jointed frame shown are prismatic and have the same flexural stiffness EI.Find the magnitude of the bending moment at Q (in kNm) due to the given loading. __________

Question No. 32

A uniform beam (EI constant)PQ in the form of a quarter-circle of radius R is fixed at end P and free at the end Q, where a load W is applied as shown. The vertical downward displacement, δq    at the loaded point Q is given by:δq=β(WR3EI).Find the value of β(correct to 4-decimal places).__________

Question No. 33

A uniform beam weighing 1800N is supported  at E and F by cable ABCD. Determine the tension(in N) in segment AB of this cable (correct to 1-decimal place). Assume the cables ABCD,BE and CF to be weightless.____________

Question No. 34

Beam PQRS has internal hinges in spans PQ and RS as shown. The beammay be subjeted to a moving distributed vertical load of maximum intensity 4 kN/m of any length anywhere on the beam. The maximum absolute value of the shear force (in KN) that can occur due to this loading just to the right of support Q shall be:

Question No. 5

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

Question No. 36

A three hinged parabolic arch having a span of 20 m and a rise of 5 m carries a point load of 10 kN at quarter span from the left end as shown in the figure. The resultant reaction at the left support and its inclination with the horizontal are respectively

Question No. 28

The degree of static indeterminacy of a rigidly jointed frame in a horizontal plane and subjected to vertical loads only, as shown in figure below is

Question No. 31

A rigid bar GH of length L is supported by a hinge and a spring of stiffness K as shown in the figure below. The buckling load, Pcr for the bar will be

Question No. 32

The degree of static indeterminacy of the rigid frame having two internal hinges as shown in the figure below, is

Question No. 33

The members EJ and IJ of a steel truss shown in the figure below are subjected to a temperature rise of 30oC. The coefficient of thermal expansion of steel is 0.000012 per oC per unit length. The displacement (mm) of joint E relative to joint H along the direction HE of truss, is

Question No. 35

The span(s) to be loaded uniformly for maximum positive (upward) reaction at support P, as shown in the figure below, is (are)

Question No. 6

The stiffness coefficient kij indicates

Question No. 35

The right triangular truss is made of members having equal cross sectional area of 1550 mm2 and Young’s modulus of 2 × 105 MPa. The horizontal deflection of the joint Q is

Question No. 36

The influence line diagram (ILD) shown is for the member

Question No. 76

A two span continuous beam having equal spans each of length L is subjected to a uniformly distributed load w per unit length. The beam has constant flexural rigidly.

The reaction at the middle support is

Question No. 77

A two span continuous beam having equal spans each of length L is subjected to a uniformly distributed load w per unit length. The beam has constant flexural rigidly.

The bending moment at the middle support is