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A simply supported uniform rectangular bar breadth b, depth d and length L carries an isolated load W at its mid-span. The same bar experiences an extension e under same tensile load. The ratio of the maximum deflection to the elongation, is

A. $$\frac{{\text{L}}}{{\text{d}}}$$

B. $$\frac{{\text{L}}}{{2{\text{d}}}}$$

C. $${\left( {\frac{{\text{L}}}{{2{\text{d}}}}} \right)^2}$$

D. $${\left( {\frac{{\text{L}}}{{3{\text{d}}}}} \right)^2}$$

Answer: Option C


This Question Belongs to Civil Engineering >> Theory Of Structures

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Comments ( 1 )

  1. ASIF AKBAR
    ASIF AKBAR :
    3 years ago

    Deflection= wl*3/48EI, I = bd3/12
    elongation = wl/AE , A= b * d
    ratio of both = (l/2d)*2

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Y are the bending moment, moment of inertia, radius of curvature, modulus of If M, I, R, E, F and elasticity stress and the depth of the neutral axis at section, then

A. $$\frac{{\text{M}}}{{\text{I}}} = \frac{{\text{R}}}{{\text{E}}} = \frac{{\text{F}}}{{\text{Y}}}$$

B. $$\frac{{\text{I}}}{{\text{M}}} = \frac{{\text{R}}}{{\text{E}}} = \frac{{\text{F}}}{{\text{Y}}}$$

C. $$\frac{{\text{M}}}{{\text{I}}} = \frac{{\text{E}}}{{\text{R}}} = \frac{{\text{F}}}{{\text{Y}}}$$

D. $$\frac{{\text{M}}}{{\text{I}}} = \frac{{\text{E}}}{{\text{R}}} = \frac{{\text{Y}}}{{\text{F}}}$$