A simply supported beam carries varying load from zero at one end and w at the other end. If the length of the beam is a, the maximum bending moment will be
A. $$\frac{{{\text{wa}}}}{{27}}$$
B. $$\frac{{{\text{w}}{{\text{a}}^2}}}{{27}}$$
C. $$\frac{{{{\text{w}}^2}{\text{a}}}}{{\sqrt {27} }}$$
D. $$\frac{{{\text{w}}{{\text{a}}^2}}}{{9\sqrt 3 }}$$
Answer: Option D
This Question Belongs to Civil Engineering >> Theory Of Structures
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Comments ( 4 )
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. $$\frac{{2{\text{T}}}}{{\text{M}}}$$
Wa²/9√3
WL2/9*SQRRT(3)
Correct answer is option B. Reaction at zero end load is wa/6 and at w end load is wa/3. If we calculate the SFD and BMD then answer will wa2/27.
Wa2/9√3