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interaction diagram. 3. Design the flexural reinforcement and shear reinforcement of a tied column in a reinforced concrete frame is subjected to the following loading scenarios: a. PD = 80 kips,

M₂ = 100 k-ft, P₁ = 60 kips, M₁ = 150 k-ft b. PD = 160 kips, Mo=100 k-ft, P₁ = 60 kips, M₁ = 150 k-ft c. PD = 80 kips, MD = 200 k-ft, P₁ = 60 kips, M₁ = 150 k-ft P = 80 kips, M₁ = 100 k-ft, P₁ = 10 kips, M₁ =150 k-ft d. e. Po = 80 kips, MD = 100 k-ft, P₁ = 60 kips, M₁ = 300 k-ft f. Po = 120 kips, Mo = 100 k-ft, P₁ = 120 kips, M₁ = 150 k-ft In your design, use concrete with compressive strength of 4,000 psi and Grade 60 steel bars, and consider the following load combinations: 1.2 DL + 1.6 LL 0.9 DL + 1.2 LL (Hint: Initially consider the maximum axial load demand. After determining the column dimensions, check for all cases to find the required reinforcement ratio.) i) ii) 4. The same column needs to be design for a different set of loading combinations. 1.6 DL + 1.2 LL i) ii) 0.75 DL + 1.5 LL Note: You can use Interaction diagrams from any textbook. Make sure you attach the interaction diagram to your solution indicating how it was used.

Fig: 1