Questions & Answers of Flexural and Shear stresses

Weightage of Flexural and Shear stresses

Total 7 Questions have been asked from Flexural and Shear stresses topic of Solid Mechanics subject in previous GATE papers. Average marks 1.71.

A solid circular beam with radius of 0.25 m and length of 2 m is subjected to a twisting moment of 20 kNm about the z-axis at the free end, which is the only load acting as shown in the figure. The shear stress component $\style{font-family:'Times New Roman'}{\tau_{xy}}$ at Point ‘M’ in the cross-section of the beam at a distance of 1 m from the fixed end is

A cantilever beam of length 2 m with a square section of side length 0.1 m is loaded vertically at the free end. The vertical displacement at the free end is 5 mm. The beam is made of steel with Young’s modulus of 2.0×1011 N/m2. The maximum bending stress at the fixed end of the cantilever is

For the stress state (in MPa) shown in the figure, the major principal stress is 10 MPa.

The shear stress $ \style{font-family:'Times New Roman'}\tau $ is

A haunched (varying depth) reinforced concrete beam is simply supported at both ends, as shown in the figure. The beam is subjected to a uniformly distributed factored load of intensity 10 kN/m.  The design shear force (expressed in kN) at the section X-X of the beam is ______

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 ________

Two beams are connected by a linear spring as shown in the following figure. For a load P as shown in the figure, the percentage of the applied load P carried by the spring is ________.

A symmetric I-section (with width of each flange 50 mm,thickness of each flange = 10 mm,depth of web = 100 mm, and thickness of web =10 mm) of steel is subjected to a shear force of 100 kN. Find the magnitude of the shear stress(in N/mm2 the web at its junction with the top flange. __________