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
A planar truss tower structure is shown in the figure.
Consider the following statement about the external and internal deteriminacies of the truss.
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 __________________
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 ____________
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
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}$ mm^{4} for all the members of the frame.
The rotation (in degrees, up to one decimal place ) at the rigid joint Q would be ____________
Consider the plane truss with load P as shown in the figure. Let the horizontal and vertical reactions at the joint B be H_{B} and V_{B}, respectively and V_{C} be the vertical reaction at the joint C.
Which one of the following sets gives the correct values of V_{B}, H_{B} and V_{C}?
A plane truss with applied loads is shown in the figure.
The members which do not carry any force are
The kinematic indeterminacy of the plane truss shown in the figure is
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
For the beam shown below, the stiffness coefficient K_{22} can be written as
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.
A guided support as shown in the figure below is represented by three springs (horizontal, vertical and rotational) with stiffness k_{x}, k_{y} and $k_\theta$ respectively. The limiting values of k_{x}, k_{y} and $k_\theta$ are :
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 cm^{3}, the maximum bending stress (in GPa) due to the wheel loads is_____________.
The degree of static indeterminacy of a rigid jointed frame PQR supported as shown in the figure is
In a beam of length L, four possible influence line diagrams for shear force at a section located at a distance of $\frac{L}{4}$ from the left end support (marked as P, Q, R and S) are shown below. The correct influence line diagram is
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 __________
For the truss shown below, the member PQ is short by 3 mm. The magnitude of vertical displacement of joint R (in mm) is _______________
The static indeterminacy of the two-span continuous beam with an internal hinge, shown below, is ______________
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
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. __________
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. __________
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, ${\delta}_{q}$at the loaded point Q is given by:${\delta}_{q}=\beta \left(\frac{W{R}^{3}}{EI}\right)$.Find the value of $\beta $(correct to 4-decimal places).__________
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.____________
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:
For the truss shown in the figure, the force in the member QR is
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
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
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, P_{cr} for the bar will be
The degree of static indeterminacy of the rigid frame having two internal hinges as shown in the figure below, is
The members EJ and IJ of a steel truss shown in the figure below are subjected to a temperature rise of 30^{o}C. The coefficient of thermal expansion of steel is 0.000012 per ^{o}C per unit length. The displacement (mm) of joint E relative to joint H along the direction HE of truss, is
The span(s) to be loaded uniformly for maximum positive (upward) reaction at support P, as shown in the figure below, is (are)
The stiffness coefficient k_{ij} indicates
The right triangular truss is made of members having equal cross sectional area of 1550 mm^{2} and Young’s modulus of 2 × 10^{5} MPa. The horizontal deflection of the joint Q is
The influence line diagram (ILD) shown is for the member
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
The bending moment at the middle support is