# GATE Questions & Answers of Shear centre

## What is the Weightage of Shear centre in GATE Exam?

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