# 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 ${\delta }_{1}$ and ${\delta }_{2}$ 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