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Question 3) The spiral column given on the right will be constructed on D=250mm site with adequate quality control using C30 concrete and B420C steel. The longitudinal bars are o16 and the spiral is o12 where the spiral spacing 1s s=75 mm. 300mm a) What is the ultimate axial load carrying capacity of this column? (5 points) b) What is the strength of this column for the second peak, i.e. after the crushing of the unconfined part of the column? (10 points) c) Based on the results you have found in part (a) and (b) comment on whether the column is adequately designed or not. (5 points) 300mm

Question 3) The spiral column given on the right will be constructed on D=250mm site with adequate quality control using C30 concrete and B420C steel. The longitudinal bars are o16 and the spiral is o12 where the spiral spacing 1s s=75 mm. 300mm a) What is the ultimate axial load carrying capacity of this column? (5 points) b) What is the strength of this column for the second peak, i.e. after the crushing of the unconfined part of the column? (10 points) c) Based on the results you have found in part (a) and (b) comment on whether the column is adequately designed or not. (5 points) 300mm

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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fa = 0.35Vfc (fe in MPa), Ecu = 0.003, Yanc = 1.5 (for cast in place), Ymc = 1.7 (cast in place with poor quality control), Ymc = 1.4 (for precast), Yms = 1.15, C16 C18 C20 C25 C30 C35 C40 С45 C50 k1 0.85 0.85 0.85 0.85 0.82 0.79 0.76 0.73 0.70 Characteristic compressive strength 16 18 20 25 30 35 40 45 50 (fck) (MPa) E, = 200 x 10³ MPa Steel grade S220 S420a B420C Characteristic yield strength (fyk) (MPa) 220 420 420 Requirements of TS500 for the reinforcement Balanced reinforcement ratios (p. ratio of beams: (p= A) Steel Concrete Yme=1.4 Yme=1.5 Yme=1.7 C25 0.0220 0.0205 0.0181 p-p< Pmax = 0.85 pp C30 0.0254 0.0237 0.0209 P< 0.02 0.02: C35 0.0286 0.0267 Pmin = 0.8fctd/ f yd C40 0.0314 0.0293 0.0259 0.0280 p Pmin 0.0317 C45 0.0339 C50 0.0362 0.0338 0.0298 0.0479 0.0423 d (1- 1-C/d), C= 0.85 bu fed 2Ma C55 0.0513 kjc = C60 0.0537 0.0501 0.0442 C70 0.0574 0.0536 0.0473 jd = 0.9d, jd = d – h/2 C80 0.0599 0.0559 0.0494 C25 0.0172 0.0161 0.0142 Va-Ve Ver = 0.65 fetabwd, As. 0.0164 Fwd Xd Vc = 0, 8V C30 0.0199 0.0186 C35 0.0224 0.0209 0.0184 Vmaz = 0.22 x fet × b,, x d C40 0.0246 0.0230 0.0203 C45 0.0266 0.0248 0.0219 Nor = 0.85 fckAc+ Ast fyk 2 Aofywk C50 0.0283 0.0264 0.0233 foc = fck + 402, 02 = 0.0331 D-s C55 0.0402 0.0375 0.0347 p= Ast/ (bh) 0.0393 C60 0.0421 С70 0.0450 0.0420 0.0371 C80 0.0470 0.0438 0.0387 Ahmet TOPÇU, Betonarme I. Eskişehir Osmangazi Üniversitesi, 2019 http://mmt2.ogu.edu.tr/atopcu For steels with fy=500 N/mm? For steels with fyk=420 N/mm?
Transcribed Image Text:fa = 0.35Vfc (fe in MPa), Ecu = 0.003, Yanc = 1.5 (for cast in place), Ymc = 1.7 (cast in place with poor quality control), Ymc = 1.4 (for precast), Yms = 1.15, C16 C18 C20 C25 C30 C35 C40 С45 C50 k1 0.85 0.85 0.85 0.85 0.82 0.79 0.76 0.73 0.70 Characteristic compressive strength 16 18 20 25 30 35 40 45 50 (fck) (MPa) E, = 200 x 10³ MPa Steel grade S220 S420a B420C Characteristic yield strength (fyk) (MPa) 220 420 420 Requirements of TS500 for the reinforcement Balanced reinforcement ratios (p. ratio of beams: (p= A) Steel Concrete Yme=1.4 Yme=1.5 Yme=1.7 C25 0.0220 0.0205 0.0181 p-p< Pmax = 0.85 pp C30 0.0254 0.0237 0.0209 P< 0.02 0.02: C35 0.0286 0.0267 Pmin = 0.8fctd/ f yd C40 0.0314 0.0293 0.0259 0.0280 p Pmin 0.0317 C45 0.0339 C50 0.0362 0.0338 0.0298 0.0479 0.0423 d (1- 1-C/d), C= 0.85 bu fed 2Ma C55 0.0513 kjc = C60 0.0537 0.0501 0.0442 C70 0.0574 0.0536 0.0473 jd = 0.9d, jd = d – h/2 C80 0.0599 0.0559 0.0494 C25 0.0172 0.0161 0.0142 Va-Ve Ver = 0.65 fetabwd, As. 0.0164 Fwd Xd Vc = 0, 8V C30 0.0199 0.0186 C35 0.0224 0.0209 0.0184 Vmaz = 0.22 x fet × b,, x d C40 0.0246 0.0230 0.0203 C45 0.0266 0.0248 0.0219 Nor = 0.85 fckAc+ Ast fyk 2 Aofywk C50 0.0283 0.0264 0.0233 foc = fck + 402, 02 = 0.0331 D-s C55 0.0402 0.0375 0.0347 p= Ast/ (bh) 0.0393 C60 0.0421 С70 0.0450 0.0420 0.0371 C80 0.0470 0.0438 0.0387 Ahmet TOPÇU, Betonarme I. Eskişehir Osmangazi Üniversitesi, 2019 http://mmt2.ogu.edu.tr/atopcu For steels with fy=500 N/mm? For steels with fyk=420 N/mm?
-9un Tarihi Revizyon No Sayfa Sayısı 00 D=250mm Question 3) The spiral column given on the right will be constructed on site with adequate quality control using C30 concrete and B420C steel. The longitudinal bars are o16 and the spiral is o12 where the spiral spacing 1s s=75 mm. 300mm a) What is the ultimate axial load carrying capacity of this column? (5 points) b) What is the strength of this column for the second peak, i.e. after the crushing of the unconfined part of the column? (10 points) c) Based on the results you have found in part (a) and (b) comment on whether the column is adequately designed or not. (5 points) 3 300mm
Transcribed Image Text:-9un Tarihi Revizyon No Sayfa Sayısı 00 D=250mm Question 3) The spiral column given on the right will be constructed on site with adequate quality control using C30 concrete and B420C steel. The longitudinal bars are o16 and the spiral is o12 where the spiral spacing 1s s=75 mm. 300mm a) What is the ultimate axial load carrying capacity of this column? (5 points) b) What is the strength of this column for the second peak, i.e. after the crushing of the unconfined part of the column? (10 points) c) Based on the results you have found in part (a) and (b) comment on whether the column is adequately designed or not. (5 points) 3 300mm
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