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GATE (CE) : STRENGTH OF MATERIAL #4 (App update required to attempt this test)

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Question 1

A rectangular beam of cross section B × D has moment of resistance equal to M. A smaller square section is removed from the centre such that the moment of resistance of the remaining area is equal to half the initial MOR. The length of side of section removed is

Question 2

A beam shown in the figure is subjected to pure bending moment of 50 kNm. The total force generated in the hatched area of cross section is

Question 3

A cantilever beam 200 × 400 mm of span 2m is subjected to a point load 50 kN at its free end. If the yield stress of the material is 80 MPa, then the moment of resistance of beam is____kN-m.

Question 4

A rectangular beam of dimensions ‘b x d’ is to be cut from a circular log of wood of diameter D . For the beam to be strongest in bending, the dimensions will be

Question 5

A cantilever beam of square cross section having depth 600 mm and span 8 m is subjected to a uniformly distributed load of magnitude 8.25 kN/m2. The stress generated at a distance equal to 2m from the free end and at a depth of 50 mm from NA will be

Question 6

A box section, having dimensions as shown in figure is used for a beam on simple supports. In a certain region along the beam, there is a constant linear change in bending moment of 90 kN/m per m along the axis of the beam. Determine the maximum shearing stress (in N/mm2) at a section in this region.
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May 31ESE & GATE CE