PROBLEM 7.2: To comply with architectural requirements, a column in a non-sway frame is of T-section as shown. The longitudinal reinforcement consists of 6 20mmo bars in the flange and 3 - 28mmø bars in the web with 10mmø lateral ties. Neglect the concrete area displaced by the steel. f = 27.5 MPa and fy = 415 MPa. Clear concrete cover is 40mm. a. b. C. Determine the location of the geometric centroid of the section measured from the x and y-axes. Ans: x= 248.529 mm, y = 0 Determine the location of the plastic centroid of the section measured from the x and y- axes. For all bars use fs = fy. Ans: x= 262.751 mm, y = 0 Determine the bending moment Mu induced by a factored load Pu= 2800 kN acting along the x-axis at 400mm from y-axis. Ans: M₁ = 384.297 kNm 250mm 350mm 150mm 300mm 150mm 6-20mmØ bars in compression 3-28mmØ bars in tension 10mm0 lateral ties

Structural Analysis
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ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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PROBLEM 7.2:
To comply with architectural requirements, a column in a non-sway frame is of T-section as shown.
The longitudinal reinforcement consists of 6 - 20mmo bars in the flange and 3
28mmØ bars in
the web with 10mmø lateral ties. Neglect the concrete area displaced by the steel. f = 27.5 MPa
and fy = 415 MPa. Clear concrete cover is 40mm.
a.
b.
C.
Determine the location of the geometric centroid of the section measured from the x and
Ans: x = 248.529 mm, y = 0
y-axes.
Determine the location of the plastic centroid of the section measured from the x and y-
axes. For all bars use fs = fy.
Ans: x= 262.751 mm, y = 0
Determine the bending moment M₁, induced by a factored load Pu = 2800 kN acting along
the x-axis at 400mm from y-axis.
Ans: M₁ = 384.297 kNm
250mm
350mm
150mm
Xx
300mm
150mm
6-20mmØ bars in compression
3-28mmØ bars in tension
10mmØ lateral ties
Transcribed Image Text:PROBLEM 7.2: To comply with architectural requirements, a column in a non-sway frame is of T-section as shown. The longitudinal reinforcement consists of 6 - 20mmo bars in the flange and 3 28mmØ bars in the web with 10mmø lateral ties. Neglect the concrete area displaced by the steel. f = 27.5 MPa and fy = 415 MPa. Clear concrete cover is 40mm. a. b. C. Determine the location of the geometric centroid of the section measured from the x and Ans: x = 248.529 mm, y = 0 y-axes. Determine the location of the plastic centroid of the section measured from the x and y- axes. For all bars use fs = fy. Ans: x= 262.751 mm, y = 0 Determine the bending moment M₁, induced by a factored load Pu = 2800 kN acting along the x-axis at 400mm from y-axis. Ans: M₁ = 384.297 kNm 250mm 350mm 150mm Xx 300mm 150mm 6-20mmØ bars in compression 3-28mmØ bars in tension 10mmØ lateral ties
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