When a body is subjected to a direct tensile stress ($${\sigma _{\text{x}}}$$) in one plane accompanied by a simple shear stress ($${\tau _{{\text{xy}}}}$$ ), the maximum shear stress is
A. $$\frac{{{\sigma _{\text{x}}}}}{2} + \frac{1}{2}\sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$
B. $$\frac{{{\sigma _{\text{x}}}}}{2} - \frac{1}{2}\sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$
C. $$\frac{{{\sigma _{\text{x}}}}}{2} + \frac{1}{2}\sqrt {\sigma _{\text{x}}^2 - 4\tau _{{\text{xy}}}^2} $$
D. $$\frac{1}{2}\sqrt {\sigma _{\text{x}}^2 + 4\tau _{{\text{xy}}}^2} $$
Answer: Option D
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Related Questions on Strength of Materials in ME
A. Equal to
B. Less than
C. Greater than
D. None of these
A. $$\frac{{{\text{w}}l}}{6}$$
B. $$\frac{{{\text{w}}l}}{3}$$
C. $${\text{w}}l$$
D. $$\frac{{2{\text{w}}l}}{3}$$
The columns whose slenderness ratio is less than 80, are known as
A. Short columns
B. Long columns
C. Weak columns
D. Medium columns
Can anyone explain it?