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)

Structural Analysis
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Chapter2: Loads On Structures
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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.
Ф6mm 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.
Transcribed Image Text: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. Ф6mm 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.
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