The deflection of a uniform circular bar of diameter d and length $$l$$, which extends by an amount under a tensile pull W, when it carries the same load at its mid-span, is
A. $$\frac{{{\text{e}}l}}{{2{\text{d}}}}$$
B. $$\frac{{{{\text{e}}^2}l}}{{3{{\text{d}}^2}}}$$
C. $$\frac{{{\text{e}}{l^2}}}{{3{{\text{d}}^2}}}$$
D. $$\frac{{{{\text{e}}^{\frac{1}{2}}}}}{{3{{\text{d}}^2}}}$$
Answer: Option C
This Question Belongs to Civil Engineering >> Theory Of Structures
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A. $$\frac{2}{3}$$
B. $$\frac{3}{2}$$
C. $$\frac{5}{8}$$
D. $$\frac{8}{5}$$
Principal planes are subjected to
A. Normal stresses only
B. Tangential stresses only
C. Normal stresses as well as tangential stresses
D. None of these
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. $$\frac{{\text{M}}}{{\text{I}}} = \frac{{\text{E}}}{{\text{R}}} = \frac{{\text{Y}}}{{\text{F}}}$$
A. $$\frac{{\text{M}}}{{\text{T}}}$$
B. $$\frac{{\text{T}}}{{\text{M}}}$$
C. $$\frac{{2{\text{M}}}}{{\text{T}}}$$
D. $$\frac{{2{\text{T}}}}{{\text{M}}}$$
The deflection of a uniform circular bar of diameter d and length l, which extends by an amount e under a tensile pull W, when it carries the same load at its mid-span, is:
This is the correct question
it should be length cube l³ in the answer which is wrongly given hers
For 1st case; e = WL/AE.
For the 2nd case; deflection= WL³/48EI.
I = π d^4/64 = A*d²/16 where A = πd²/4.
Def=WL³/3EAd², replacing by "e"
Now Def=eL^2/3d^2.
Qstn is not clear
Pls xplain the answr