GATE CE
Strength of Materials Or Solid Mechanics
Columns and Struts
Previous Years Questions

## Marks 1

Two steel columns $$P$$ (Length $$L$$ and yield strength $${f_y} = 250\,\,MPa)$$ and $$Q$$ (length $$2L$$ and yield strength $${f_y} = 500\,\,MPa$$) h...
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 ...
The effective length of a column of length $$L$$ fixed against rotation and translation at one end is
A long structural column (length $$-L$$) with both ends hinged is acted upon by an axial compressive load $$P.$$ The differential equation governing t...
Four column of the same material having identical geometric properties are supported in different ways as shown below It is required to order these...
When a column is fixed at both ends corresponding to Euler's criterion load is
The kern area (core) of a solid circular section column of diameter, $$D$$ is a concentric circle of diameter, $$'d'$$ is equal to
The axial load carrying capacity of a long column of given material. Cross-sectional area, $$A$$ and length, $$L$$ is governed by

## Marks 2

Consider two axially loaded columns, namely. $$1$$ and $$2,$$ made of a linear elastic material with Young's modulus $$2 \times {10^5}\,\,MPa,$$ squar...
If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is $${{{d^2}y} \... The sketch shows a column with a pin at the base and rollers at the top. It is subjected to an axial force$$P$$and a moment$$M$$at mid-height. The... Cross-section of a column consisting of two steel strips, each of thickness$$t$$and width$$b$$is shown in the figure below. The critical loads of... A rigid bar$$GH$$of length$$L$$is supported by a hinge and a spring of stiffness$$K$$as shown in the figure below. The buckling load,$${P_{cr}}...
A steel column, pinned at both ends, has a buckling load of $$200$$ $$kN.$$ If the column is restrained against lateral movement at its mid-height, it...
The buckling load $$P = {P_{cr}}$$ for the column $$AB$$ in figure, as $${K_T}$$ approaches infinity, becomes $$\alpha {{{\pi ^2}E{\rm I}} \over {{L^2... The maximum tensile stress at the section$$X$$-$$X$$shown in the figure below is ... A rigid rod$$AB$$of length$$L$$is hinged at$$A$$and is maintained in its vertical position by two springs with spring constants$$K attached a...
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