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GATE CE 2020: Strength of Materials Quiz 4 (App update required to attempt this test)
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Question 1
A simply supported beam having uniform c/s is subjected to maximum bending moment of 4.32t-m. if it has rectangular c/s width 20cm and depth 36cm, then maximum bending stress induced in the beam is.
Question 2
The given figure shows an I-section of the beam. The shear stress at a point B is 12 MPa. The stress at a point in the web A is _______ MPa.
Question 3
A curved member with a straight vertical leg is carrying vertical load at Z, as shown in the figure. The stress resultant in the XY–segment are
Question 4
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.
Question 5
A joist of 8 m span has to carry a load of 30 kN/m. The permissible stress limit is 10 N/mm2 and the depth of the joist has to be twice the width. Now, find the dimensions of the joist.
Question 6
A 450 mm long plain concrete prism is subjected to the concentrated vertical loads as shown in the figure. Cross section of the prism is given as 150 mm × 150 mm. Considering linear stress distribution across the cross-section, the modulus of rupture (expressed in MPa) is _______ .
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