GATE Questions & Answers of Shear Force and Bending Moment Diagrams

What is the Weightage of Shear Force and Bending Moment Diagrams in GATE Exam?

Total 14 Questions have been asked from Shear Force and Bending Moment Diagrams topic of Mechanics of Materials subject in previous GATE papers. Average marks 1.71.

For a loaded cantilever beam of uniform cross-section, the bending moment (in N mm) along the length is M(x)=5x2+10x, where x is the distance (in mm) measured from the free end of the beam. The magnitude of shear force (in N) in the cross-section at x=10 mm is__________

The Figure shows cross-section of a beam subjected to bending. The area moment of inertia $(\mathrm{in}\;\mathrm{mm}^4)$ of this cross-section about its base is _________ .

 

A machine element XY, fixed at end X, is subjected to an axial load P, transverse load F, and a twisting moment T at its free end Y. The most critical point from the strength point of view is

 

A simply supported beam of length 2L is subjected to a moment M at the mid-point $x = 0$ as shown in the figure. The deflection in the domain $0 ≤ x ≤ L$ is given by    

                                                                          $w=\frac{-Mx}{12\;EIL}\left(L-x\right)\left(x+c\right)$ ,

where E is the Young’s modulus, I  is the area moment of inertia and c is a constant (to be determined) .

 

The slope at the center $x = 0$ is

A cantilever beam OP is connected to another beam PQ with a pin joint as shown in figure. A load of 10 kN is applied at the midpoint of PQ. The magnitude of bending movement (in kN-m) at fixed end O is

For the overhanging beam shown in figure, the magnitude of maximum bending moment (in kN-m) is _____.

A simply supported beam of length L is subjected to a varying distributed load sin (3π x/L) Nm-1, where the distance x is measured from the left support. The magnitude of the vertical reaction force in N at the left support is

A simply supported beam PQ is loaded by a moment of 1 kN-m at the mid-span of the beam as shown in the figure. The reaction forces RP and RQ at supports P and Q respectively are

A massless beam has a loading pattern as shown in the figure. The beam is of rectangular cross-section with a width of 30mm and height of 100mm.

The maximum bending moment occurs at

A massless beam has a loading pattern as shown in the figure. The beam is of rectangular cross-section with a width of 30mm and height of 100mm.

The maximum magnitude of bending stress (in MPa) is given by

In a simply – supported beam loaded as shown below, the maximum bending moment in Nm is

A uniformly loaded propped cantilever beam and its free body diagram are shown below. The reactions are

A machine frame shown in the figure below is subjected to a horizontal force of 600 N parallel to z – direction.

The normal and shear stresses in MPa at point P are respectively

A machine frame shown in the figure below is subjected to a horizontal force of 600 N parallel to z – direction.

The maximum principal stress in MPa and the orientation of the corresponding principal plane in degrees are respectively