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# GATE Past Year Questions: Bending of Beams Notes | EduRev

## Mechanical Engineering : GATE Past Year Questions: Bending of Beams Notes | EduRev

The document GATE Past Year Questions: Bending of Beams Notes | EduRev is a part of the Mechanical Engineering Course Strength of Materials (SOM).
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Try yourself:A tapered cantilever beam of constant thickness is loaded as shown in the sketch below. The bending stress will be

[1988]

Try yourself:Which one of the following diagrams shows correctly the distribution of transverse shear stress across the depth h of a rectangular beam subjected to varying bending moment along its length?

Try yourself:The second moment of a circular area about the diameter is given by (D is the diameter)

Try yourself:The beams, one having square cross-section and another circular cross-section, are subjected to the same amount of bending moment. If the cross sectional area as well as the material of both the beams are the same then

[2003]

Try yourself:A cantilever beam has the square cross section of 10 mm × 10 mm. It carries a transverse load of 10 N. Considering only the bottom fibres of the beam, the correct representation of the longitudinal variation of the bending stress is

[2005]

Try yourself: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

[2007]

Try yourself:The maximum principal stress in MPa and the orientation of the corresponding principal plane in degrees are respectively.

[2007]

Try yourself:A massless beam has a loading pattern as shown in the figure. The beam is of rectangular crosssection with a width of 30 mm and height of 100 mm.​The maximum bending moment occurs at

[2010]

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

[2010]

Try yourself:A triangular-shaped cantilever beam of uniformthickness is shown in the figure. The Young's modulus of the material of the beam is E. A concentrated load P is applied at the free end of the beam.

The area moment of inertia about the neutral axis of a cross-section at a distance x measured from the free end is

[2011]

Try yourself:The maximum deflection of the beam is

[2011]

Try yourself:Consider a simply supported beam of length, 50h, wM

[2014]

Try yourself: The value of moment of inertia of the section shown in the figure about the axis-XX is

[2015]

Try yourself:A beam of length L is carrying a uniformly distributed load w per unit length. The flexural rigidity of the beam is EI. The reaction at the simple support at the right end is

[2016]

Try yourself:Consider a beam with circular cross-section of diameter d. The ratio of the second moment of area about the neutral axis to the section modulus of the area is

[2017]

Try yourself:The transverse shear stress acting in a beam of rectangular cross-section, subjected to a transverse shear load, is

[2008]

Try yourself:An axial residual compressive stress due to a manufacturing process is present on the outer surface of a rotating shaft subjected to bending.Under a given bending load, the fatigue life of the shaft in the presence of the residual compressive stress is

[2008]

Try yourself:A solid circular shaft of diameter 100 mm is subjected to an axial stress of 50 MPa. It is further subjected to a torque of 10 kNm. The maximum principal stress experienced on the shaft is closest to

[2008]

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## Strength of Materials (SOM)

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