Problem: A square cross section is as illustrated in Fig. 1 providing material strengths shown below: Concrete Uniaxial compressive strength: fe' = 27.6 MPa; Maximum concrete strain: Ecu= 0.003; Steel Yield stress: fy = 413.7 MPa; Yield strain: y = 0.002. 50 mm 700 mm 50 mm 12 $36mm Bars equally spaced Note: The distance between concrete outer surface and the edge of longitudinal reinforcement is 50 mm. $6mm Ties Fig. 1 Configuration of the reinforced concrete column section Both unaxial and biaxial loading situations should be considered. Uniaxial Column Interaction According to the cross section shown in Fig. 1, construct the axial load-moment (P-M) interaction diagram. In order to achieve a minimum calculation, you should establish the points corresponding to (a) pure axial load (Po, 0) (b) balanced loads (Pb, Mb) (c) pure moment ( 0, M.) (d) Draw the P-M curve using the coordinates derived in (a), (b) and (c). You may assume straight lines between these points.
Problem: A square cross section is as illustrated in Fig. 1 providing material strengths shown below: Concrete Uniaxial compressive strength: fe' = 27.6 MPa; Maximum concrete strain: Ecu= 0.003; Steel Yield stress: fy = 413.7 MPa; Yield strain: y = 0.002. 50 mm 700 mm 50 mm 12 $36mm Bars equally spaced Note: The distance between concrete outer surface and the edge of longitudinal reinforcement is 50 mm. $6mm Ties Fig. 1 Configuration of the reinforced concrete column section Both unaxial and biaxial loading situations should be considered. Uniaxial Column Interaction According to the cross section shown in Fig. 1, construct the axial load-moment (P-M) interaction diagram. In order to achieve a minimum calculation, you should establish the points corresponding to (a) pure axial load (Po, 0) (b) balanced loads (Pb, Mb) (c) pure moment ( 0, M.) (d) Draw the P-M curve using the coordinates derived in (a), (b) and (c). You may assume straight lines between these points.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Solve Part D
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Step 1: Given Data
VIEWStep 2: Pure axial load
VIEWSolution
VIEWStep 3: Balanced condition
VIEWStep 4: Steel strains & stresses
VIEWStep 5: Balanced force (Pb)
VIEWStep 6: Balanced Moment (Mb)
VIEWStep 7: Pure moment condition (Pure bending)
VIEWStep 8: Calculation of Ts2 , Ts1, Cs4 , Cs3 & Cc
VIEWStep 9: Pure moment (M)
VIEWStep 10: P-M interaction curve
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