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-Q2.23-. A cantilever beam shown is reinforced with 7- 25 mmø at the top and 4- 16 mmø at the bottom. Beam b xh = 380 mm x 480 mm. Tie diameter = 12 mmø spaced at 80 mm o.c. Clear concrete cover (from concrete surface to outer surface of ties) = 50 mm. f'c = 21.7 MPa and fy = 410 MPa. Assume bars are laid in single layer. Answer the following: (1) Compute the development length of the 25 mm bars at the top. Use formula in section 425.4.2.3. (2) Determine the development length of the 16 mm bottom bars. (3) Determine the development length if the bottom bars are 25 mm in diameter.

-Q2.23-. A cantilever beam shown is reinforced with 7- 25 mmø at the top and 4- 16 mmø at the bottom. Beam b xh = 380 mm x 480 mm. Tie diameter = 12 mmø spaced at 80 mm o.c. Clear concrete cover (from concrete surface to outer surface of ties) = 50 mm. f'c = 21.7 MPa and fy = 410 MPa. Assume bars are laid in single layer. Answer the following: (1) Compute the development length of the 25 mm bars at the top. Use formula in section 425.4.2.3. (2) Determine the development length of the 16 mm bottom bars. (3) Determine the development length if the bottom bars are 25 mm in diameter.

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
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-Q2.23-. A cantilever beam shown is reinforced with 7- 25 mmø at the top and 4- 16 mmø at the bottom. Beam b xh = 380 mm x 480 mm. Tie diameter = 12 mmø spaced at 80 mm o.c. Clear concrete cover (from concrete surface to outer surface of ties) = 50 mm. f'c = 21.7 MPa and fy = 410 MPa. Assume bars are laid in single layer. Answer the following: (1) Compute the development length of the 25 mm bars at the top. Use formula in section 425.4.2.3. (2) Determine the development length of the 16 mm bottom bars. (3) Determine the development length if the bottom bars are 25 mm in diameter. Use the editor to format your answer Figures and formulas/tables for item #2 above. ... Ld1 Ld2
Transcribed Image Text:-Q2.23-. A cantilever beam shown is reinforced with 7- 25 mmø at the top and 4- 16 mmø at the bottom. Beam b xh = 380 mm x 480 mm. Tie diameter = 12 mmø spaced at 80 mm o.c. Clear concrete cover (from concrete surface to outer surface of ties) = 50 mm. f'c = 21.7 MPa and fy = 410 MPa. Assume bars are laid in single layer. Answer the following: (1) Compute the development length of the 25 mm bars at the top. Use formula in section 425.4.2.3. (2) Determine the development length of the 16 mm bottom bars. (3) Determine the development length if the bottom bars are 25 mm in diameter. Use the editor to format your answer Figures and formulas/tables for item #2 above. ... Ld1 Ld2
Table 425.4.2.2 Development Length for Deformed Bars and Deformed Wires in TensioD 20 mm o and smaller bars and deformed wires Spacing and cover 25 mm ¢ and larger bars Clear spacing of bars or wires being developed or lap spliced not less than d,, ciear cover at least d,, and stirrups or ties throughout d, not less than the Code minimum, dy 2.1A/f 1.7A/T) or Clear spacing of bars or wires being developed or lap spliced at least 2d, and clear cover at least d, dp 1.1A/fe. Other cases do Table 425.4.2.4 425.4.2.3 For deformed bars or deformed wires, &a shal) be calculated by: Modification Factors for Development of Deformed Bars and Deformed Wires in Tension 1 1 fy w.YY, Modification Value of e Conditlon (425.4.2.3a) factor factor 1.1 AF. (b+Kır dp Lightweight concrete 0.75 Lightweight concrete, where fet is specified In accordance Lightweight in which the confinement term (C, + K)/d, shall not exceed 2.5, and with Section 419.2.4.3 Normal-weiglt concrete Epoxy-coated or zinc and cpoxy dual-coated reinforcement with 1.0 40Atr Ktr (425.4.2.3b) 1.5 clcar cover Icss than 3d, or clear spacing less than 6d, Epoxy-coated or zinc and epixy dual-coaled reinforceneot for all sn reinforcement location factor Epuxy" coating factor reinforcement size factor lightweight aggregate concrete factor smaller of center of tension bar to nearest concrete surface or one- half center- 1.2 other conditions Cb Unconted or zinc-coated to- center spacing of the bars Kr (galvanized) rcinforcement transverse reinforcement index 1.0 1.0 25 mn o and Jarger bars 20 mm o and smaller bars and deformed wires Size Atr total cross sectional area of transverse reinforcement having the center- to- 0.8 center spacing, s and a yield strength the # of bars or wires being developed or lap spliced along the plane of fס .תןות 300 Moretihan splitting. If steel is in two layers, n is the largest # of bars in a single layer center- to- center spacing of transverse reinforcement Casting position" fresh concrete placed below horizotal 1,3 S reinforcement Other 1.0
Transcribed Image Text:Table 425.4.2.2 Development Length for Deformed Bars and Deformed Wires in TensioD 20 mm o and smaller bars and deformed wires Spacing and cover 25 mm ¢ and larger bars Clear spacing of bars or wires being developed or lap spliced not less than d,, ciear cover at least d,, and stirrups or ties throughout d, not less than the Code minimum, dy 2.1A/f 1.7A/T) or Clear spacing of bars or wires being developed or lap spliced at least 2d, and clear cover at least d, dp 1.1A/fe. Other cases do Table 425.4.2.4 425.4.2.3 For deformed bars or deformed wires, &a shal) be calculated by: Modification Factors for Development of Deformed Bars and Deformed Wires in Tension 1 1 fy w.YY, Modification Value of e Conditlon (425.4.2.3a) factor factor 1.1 AF. (b+Kır dp Lightweight concrete 0.75 Lightweight concrete, where fet is specified In accordance Lightweight in which the confinement term (C, + K)/d, shall not exceed 2.5, and with Section 419.2.4.3 Normal-weiglt concrete Epoxy-coated or zinc and cpoxy dual-coated reinforcement with 1.0 40Atr Ktr (425.4.2.3b) 1.5 clcar cover Icss than 3d, or clear spacing less than 6d, Epoxy-coated or zinc and epixy dual-coaled reinforceneot for all sn reinforcement location factor Epuxy" coating factor reinforcement size factor lightweight aggregate concrete factor smaller of center of tension bar to nearest concrete surface or one- half center- 1.2 other conditions Cb Unconted or zinc-coated to- center spacing of the bars Kr (galvanized) rcinforcement transverse reinforcement index 1.0 1.0 25 mn o and Jarger bars 20 mm o and smaller bars and deformed wires Size Atr total cross sectional area of transverse reinforcement having the center- to- 0.8 center spacing, s and a yield strength the # of bars or wires being developed or lap spliced along the plane of fס .תןות 300 Moretihan splitting. If steel is in two layers, n is the largest # of bars in a single layer center- to- center spacing of transverse reinforcement Casting position" fresh concrete placed below horizotal 1,3 S reinforcement Other 1.0
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