GATE CE 2024 Set 2 | Columns and Struts Question 1 | Strength of Materials Or Solid Mechanics

A homogeneous, prismatic, linearly elastic steel bar fixed at both the ends has a slenderness ratio (l/r) of 105, where l is the bar length and r is the radius of gyration. The coefficient of thermal expansion of steel is $12 \times 10^{-6}$ $^{\circ}$C. Consider the effective length of the steel bar as $0.5l$ and neglect the self-weight of the bar.

The differential increase in temperature (rounded off to the nearest integer) at which the bar buckles is

298 $^{\circ}$C

85 $^{\circ}$C

400 $^{\circ}$C

250 $^{\circ}$C

GATE CE 2017 Set 1

Numerical

-0

Consider two axially loaded columns, namely. $$1$$ and $$2,$$ made of a linear elastic material with Young's modulus $$2 \times {10^5}\,\,MPa,$$ square cross-section with side $$10$$ $$mm$$, and length $$1$$ $$m.$$ For Column $$1,$$ one end is fixed and the other end is free. For column $$2,$$ one end is fixed and the other end is pinned. Based on the Euler's theory, the ratio (up to one decimal place) of the buckling load of Column $$2$$ to the buckling load of column $$1$$ is ___________

Your input ____

GATE CE 2014 Set 1

MCQ (Single Correct Answer)

-0.6

If the following equation establishes equilibrium in slightly bent position, the mid-span deflection of a member shown in the figure is
$${{{d^2}y} \over {d{x^2}}} + {P \over {EI}}y = 0$$ GATE CE 2014 Set 1 Strength of Materials Or Solid Mechanics - Columns and Struts Question 4 English

GATE CE 2014 Set 1 Strength of Materials Or Solid Mechanics - Columns and Struts Question 4 English

If $$'a'$$ is amplitude constant for $$y,$$ then

$$y = {1 \over P}\left( {1 - a\,\cos {{2\pi x} \over L}} \right)$$

$$y = {1 \over P}\left( {1 - a\,sin{{2\pi x} \over L}} \right)$$

$$y = a\,\sin {{n\pi x} \over L}$$

$$y = a\,\cos {{n\pi x} \over L}$$

GATE CE 2012

MCQ (Single Correct Answer)

-0.6

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 GATE CE 2012 Strength of Materials Or Solid Mechanics - Columns and Struts Question 5 English

GATE CE 2012 Strength of Materials Or Solid Mechanics - Columns and Struts Question 5 English

a vertical force equal to $$P$$

a vertical force equal to $$P/2$$

a vertical force equal to $$P$$ and a horizontal force equal to $$M/h$$

a vertical force equal to $$P/2$$ and a horizontal force equal to $$M/h$$

Questions Asked from Marks 2

GATE CE 2024 Set 2 (1) GATE CE 2017 Set 1 (1) GATE CE 2014 Set 1 (1) GATE CE 2012 (1) GATE CE 2008 (2) GATE CE 2007 (1) GATE CE 2006 (1) GATE CE 2005 (1) GATE CE 1990 (1)

GATE CE Subjects

Engineering Mechanics

Strength of Materials Or Solid Mechanics

Structural Analysis

Construction Material and Management

Reinforced Cement Concrete

Steel Structures

Geotechnical Engineering

Fluid Mechanics and Hydraulic Machines

Hydrology

Irrigation

Geomatics Engineering Or Surveying

Environmental Engineering

Transportation Engineering

Engineering Mathematics

General Aptitude