A square R.C.C. column of 300mm X 300 mm in section with 8 steel bars of 20 mm diameter carries a load of 360 kN. Find the stresses induced in steel and concrete. Take modular ratio = 15.

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written 4.7 years ago by

teamques10 ★ 65k

• modified 4.7 years ago

Data: A=300×300 mm2 , d = 20 mm$\phi$

No. of steel bar = 8, P = 360kN, m =15

Find: $\sigma_{c}, \sigma_{s}$

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$$ \begin{array}{l}{\mathrm{A}_{\mathrm{s}}=\mathrm{n} \times \frac{\pi}{4} \mathrm{d}^{2}=8 \times \frac{\pi}{4} 20^{2}=2513.27 \mathrm{mm}^{2}} \\ {\mathrm{A}_{\mathrm{c}}=\mathrm{A}_{\mathrm{g}}-\mathrm{A}_{\mathrm{s}}} \\ {\mathrm{A}_{\mathrm{c}}=300 \times 300-2513.27} \\ {\mathrm{A}_{\mathrm{c}}=87486.72 \mathrm{mm}^{2}} \\ {\frac{\sigma_{\mathrm{s}}}{\sigma_{\mathrm{c}}}=m} \\ {\sigma_{\mathrm{s}}=\mathrm{m} \times \sigma_{\mathrm{c}}} \\ {\sigma_{\mathrm{s}}=15 \sigma_{\mathrm{c}}}\end{array} $$ …

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