A square column should be designed to support axial loads Pp=350.0 kip (dead) and PL=300.0 kip...

   

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A square column should be designed to support axial loads Pp=350.0 kip (dead) and PL=300.0 kip (live) and bending moments Mp 50.0 kip-ft (dead) and M₁= 50.0 kip-ft (live). The concrete is normalweight f=4000.0 psi and the longitudinal reinforcing steel is Grade 60. The transverse reinforcement is tied #4 stirrups (not shown) and there is 1.5 inch clear cover around the stirrups, giving the 2.5 inch edge to center of rebar distance shown below. h 2.5 in b 2.5 in 1. Determine the column size (square b = h) and the select the longitudinal bar size for eight bars to be in three layers as shown above. Round the column size up to the next 2 inch multiple, e.g., both 18.2 inch and 19.6 inch would round up to 20 inch. Use the interaction diagrams included with this assignment. 2. Draw a figure of the cross-section showing the section dimensions and the longitudinal reinforcement. 3. Based on the column size you found in the previous problem, compute the maximum axial design strength, Pn, (kip), according to Equation (17.3) notes and show that this value matches the normalized coordinate (units=ksi) for the inter- action diagrams included with this assignment. Pu/Ag or oP/A, (ksi) 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0.0 0.0 0.2 f=4 ksi, fy-60 ksi, 7=0.6 0.4 0.6 0.8 Mu/(Agh) or oMn/(Agh) (ksi) 1.0 1.2 h yh I e Pu/Ag or oPn/A₁ (ksi) Pu/Ag or oPn/A, (ksi) 3.5 3.0 2.5- 2.0 1.5 1.0 0.5 0.0 3.5 3.0 2.5 0.0 2.0 1.5 1.0 0.5- 0.0 0.0 0.2 0.2 f=4 ksi, fy-60 ksi, y=0.75 0.4 0.6 0.8 Mu/(Agh) or oMn/(Agh) (ksi) f=4 ksi, fy=60 ksi, y=0.9 0.4 0.6 0.8 Mu/(Agh) or oMn/(Agh) (ksi) 1.0 1.0 1.2 1.2 O ● • ● h yh T h yh e P e P A square column should be designed to support axial loads Pp=350.0 kip (dead) and PL=300.0 kip (live) and bending moments Mp 50.0 kip-ft (dead) and M₁= 50.0 kip-ft (live). The concrete is normalweight f=4000.0 psi and the longitudinal reinforcing steel is Grade 60. The transverse reinforcement is tied #4 stirrups (not shown) and there is 1.5 inch clear cover around the stirrups, giving the 2.5 inch edge to center of rebar distance shown below. h 2.5 in b 2.5 in 1. Determine the column size (square b = h) and the select the longitudinal bar size for eight bars to be in three layers as shown above. Round the column size up to the next 2 inch multiple, e.g., both 18.2 inch and 19.6 inch would round up to 20 inch. Use the interaction diagrams included with this assignment. 2. Draw a figure of the cross-section showing the section dimensions and the longitudinal reinforcement. 3. Based on the column size you found in the previous problem, compute the maximum axial design strength, Pn, (kip), according to Equation (17.3) notes and show that this value matches the normalized coordinate (units=ksi) for the inter- action diagrams included with this assignment. Pu/Ag or oP/A, (ksi) 3.5 3.0 2.5 2.0 1.5 1.0 0.5 0.0 0.0 0.2 f=4 ksi, fy-60 ksi, 7=0.6 0.4 0.6 0.8 Mu/(Agh) or oMn/(Agh) (ksi) 1.0 1.2 h yh I e Pu/Ag or oPn/A₁ (ksi) Pu/Ag or oPn/A, (ksi) 3.5 3.0 2.5- 2.0 1.5 1.0 0.5 0.0 3.5 3.0 2.5 0.0 2.0 1.5 1.0 0.5- 0.0 0.0 0.2 0.2 f=4 ksi, fy-60 ksi, y=0.75 0.4 0.6 0.8 Mu/(Agh) or oMn/(Agh) (ksi) f=4 ksi, fy=60 ksi, y=0.9 0.4 0.6 0.8 Mu/(Agh) or oMn/(Agh) (ksi) 1.0 1.0 1.2 1.2 O ● • ● h yh T h yh e P e P