Questions & Answers of Shear centre

Weightage of Shear centre

Total 10 Questions have been asked from Shear centre topic of Solid Mechanics subject in previous GATE papers. Average marks 1.50.

In a system, two connected rigid bars $ AC $ and $ BC $ are of identical length $ L $ with pin supports at $ A $ and $ B $. The bars are interconnected at $ C $ by a frictionless hinge. The rotation of the hinge is restrained by a rotational spring of stiffness, $ k $. The system initially assumes a straight line configuration, $ ACB $. Assuming both the bars as weightless, the rotation at supports, $ A $ and $ B $, due to a transverse load, $ P $ applied at $ C $ is:

The possible location of shear centre of the channel section, shown below, is

The ratio of the theoretical critical buckling load for a column with fixed ends to that of another column with the same dimensions and material, but with pinned ends, is equal to

The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force P and a moment M at mid-height. The reaction(s) at R is/are

A rigid beam is hinged at one end and supported on linear elastic spring(both having a stiffness of (‘k’) at points "1" and "2", and an inclined load acts at "2", as shown

Which of the following options represents the deflections δ1 and δ2 at point "1" and "2"?

A rigid beam is hinged at one end and supported on linear elastic spring(both having a stiffness of (‘k’) at points "1" and "2", and an inclined load acts at "2", as shown

If the load P equals 100 kN, which of the following options represents forces R1 and R2 in the springs at points "1" and "2"?

The effective length of a column of length L fixed against rotation and translation at one end and free at the other end is

The point within the cross sectional plane of a beam through which the resultant of the external loading on the beam has to pass through to ensure pure bending without twisting of the cross-section of the beam is called

Cross-section of a column consisting of two steel strips, each of thickness t and width b is shown in the figure below. The critical loads of the column with perfect bond and without bond between the strips are P and Po respectively. The ration P/Po is

A steel column, pinned at both ends, has a buckling load of 200kN. If the column is restrained against lateral movement at its mid-height, its buckling load will be