**QUESTION**

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1. A square footing is proposed to be used to support a $300 \mathrm{~mm} \times 500 \mathrm{~mm}$ RC column loaded with $760 \mathrm{kN}$ dead load and $400 \mathrm{kN}$ live load the bottom of footing is $1.5 \mathrm{~m}$ below the ground. Assume soil weighs $18.67 \mathrm{kN} / \mathrm{m}^{1}$ and allowable soil bearing capacity of $150 \mathrm{kPa}$. Thickness of footing is $500 \mathrm{~mm}$, with an effective depth of $410 \mathrm{~mm}$ for beam action and $400 \mathrm{~mm}$ for punching, $\mathrm{fc}^{\prime}=21 \mathrm{MPa}$, and $\mathrm{fy}^{\prime}=$ $415 \mathrm{MPa}$. Its is to be reinforced with $20 \mathrm{~mm}$ dia. use $23.5 \mathrm{kN} / \mathrm{m}^{3}$ as unit weight of concrete. At ultimate condition $\mathrm{U}=1,2 \mathrm{D}+1.6 \mathrm{~L}$. nominal concrete shear strength for punching $\mathrm{v}_{\mathrm{p}}=1.52 \mathrm{MPa}$. Use $=0.75$. a. Determine the smallest footing size that can be used. b. If the footing is $3.5 \mathrm{mx} 3.5 \mathrm{~m}$, what is the critical factored shear force considering beam action? c. If the footing is $3.5 \mathrm{mx} 3.5 \mathrm{~m}$, what is the design shear strength (kN) of footing considering beam action? d. If the footing is $3.5 \mathrm{mx} 3.5 \mathrm{~m}$, what is the factored punching shear force? e. If the footing is $3.5 \mathrm{mx} 3.5 \mathrm{~m}$, what is the design shear strength (kN) of footing for punching?

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