GATE CE 2017 Set 1 | Columns and Struts Question 1 | Strength of Materials Or Solid Mechanics

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 2 English

GATE CE 2014 Set 1 Strength of Materials Or Solid Mechanics - Columns and Struts Question 2 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 3 English

GATE CE 2012 Strength of Materials Or Solid Mechanics - Columns and Struts Question 3 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 $$M/h$$

GATE CE 2008

MCQ (Single Correct Answer)

-0.6

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, $${P_{cr}}'$$ for the bar will be GATE CE 2008 Strength of Materials Or Solid Mechanics - Columns and Struts Question 5 English