GATE Ae : Test-II - 10 July 2020

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 moment (in kN-m) at fixed end O is:  

A simply supported beam of length L is subjected to a varying distributed load q(x) = sin (3πx/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 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:

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

An overhanging beam of length L is loaded with a UDL of strength 'q' as shown in the figure below. For what value of 'a' will the ratio of bending moment at the middle of the beam to the bending moment at the supports be equal to 3:4?                                                           

A liver is supported by two hinges at A and C. It carries a force of 3kN as shown in the figure. The bending moment at B will be......                                      

Choose the correct option as given in the answer choice:

A simply supported beam is subjected to a distributed loading as shown in the figure:                                   The ratio of maximum bending moment to maximum shear force for this beam is:

A simply supported beam at its ends carries a central concentrated load, and maximum bending moment is M. If the same load be uniformly distributed over the length of the beam, what is the maximum bending moment?

The part of the shear force diagram for a beam is shown in the figure:                              If the bending moment at B is -9 kNm, then the bending moment at C is___________.

A uniformly distributed load is acting over a 3m long cantilever beam. The shear force at the midpoint of the beam is 6kN, what is the bending moment at this point?

A pin jointed uniform rigid rod of weight W and length L is supported horizontally with a force F as shown in the figure below. The force F is suddenly removed. At the instant of force removal, the magnitude of vertical reaction developed at the support is:

Beam ABCD represents a reinforced-concrete foundation beam that supports a uniform load of intensity     q₁= 3500 lb/ft (see figure). Assume that the soil pressure on the underside of the beam is uniformly distributed with intensity q₂.                                                Find the ratio of bending moment at point B to the bending moment at the midpoint of the beam:-

A beam ABC with an overhang at one end supports a uniform load of intensity 12 kN/m and a concentrated load of magnitude 2.4 kN (see figure). For this beam, the point of contraflexure lies at what distance to the left of point C?                                             

For the simply supported beam of length L, subjected to a uniformly distributed moment 'M' kN–m per unit length as shown in the figure, the bending moment (in kN–m) at the mid-span of the beam is:                                              

Numerical Answer Type: Two people weighing 50kg each are sitting on a plank of length 10m floating on water at 2.5m from either end. Neglecting the weight of the plank ,the bending moment at the center of plank is equal to __________kNm. [Take g = 10m/s²] (Type the correct numerical answer in the space below) 

Numerical Answer Type: A simply supported beam of length 3 m with varying distributed load of 3 kN/m is shown in the figure below. The maximum bending moment (in kNm) in the beam is __________.                                       [Type the answer correct to two decimals in the space below]

Numerical Answer Type: The shear force diagram of a loaded beam is shown in the figure. What is the maximum bending moment (in kNm) of the beam? (Type the correct numerical answer in the space below)

Numerical Answer Type: A simply supported beam of length 10 m carries a uniformly varying load whose intensity varies from a maximum value of 5 kN/m at both ends to zero at the center of the beam. It is desired to replace the beam with another simply supported beam which will be subjected to the same maximum 'bending moment’ and ‘shear force' as in the case of the previous one. Determine the rate of loading (in kN/m) for the second beam if it is subjected to a uniformly distributed load over its whole length. (Type the answer correct to two decimals in the space below)

Numerical Answer Type: For the beam loaded as shown in the figure, the ratio of the maximum bending moment to the bending moment at point B is __________. (Type the answer correct to one decimal place in the space below)

Numerical Answer Type: For the loaded beam as shown in the figure, find the maximum magnitude of the bending moment (in kNm) in the portion of the beam where shear force is -35 kN :- (Type the answer correct to one decimal place in the space below)

Numerical Answer Type: Find the bending moment (in kNm) at the midpoint of the beam loaded as shown in the figure below:                                                    (Type the correct numerical answer in the space below)

Numerical Answer Type: An overhanging beam ABC with uniformly distributed load beam is shown in the figure below. The point of contraflexure is __________ inches from the end A.                                       (Type the correct numerical answer in the space below)