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A cantilever beam as shown in the figure has a clear covering of 50 mm at the top and at the extension of the hook. The beam dimensions are b = 320 mm and d = 470 mm and reinforced with 3- 28 mmø at the top and a stirrup holder of 20 mmø at the bottom. The bars are confined by a 10 mmø stirrups spaced at 150 mm. f'c = 28.3 MPa and fy = 418.5 MPa. (1) Calculate the required development length or length of embedment (in at least 2 decimal places) for the straight top bars. Use Table 425.4.2.2., (2) Calculate the required development length or length of embedment (in at least 2 decimal places) for the top bars with a 90 degree hook and the length of straight extension. Provide sketch for the orientation of these dimensions., (3) Calculate the required development length or length of embedment (in at least 2 decimal places) for the top bars with a 180 degree hook and the length of straight extension. Provide sketch for the orientation of these dimensions.

A cantilever beam as shown in the figure has a clear covering of 50 mm at the top and at the extension of the hook. The beam dimensions are b = 320 mm and d = 470 mm and reinforced with 3- 28 mmø at the top and a stirrup holder of 20 mmø at the bottom. The bars are confined by a 10 mmø stirrups spaced at 150 mm. f'c = 28.3 MPa and fy = 418.5 MPa. (1) Calculate the required development length or length of embedment (in at least 2 decimal places) for the straight top bars. Use Table 425.4.2.2., (2) Calculate the required development length or length of embedment (in at least 2 decimal places) for the top bars with a 90 degree hook and the length of straight extension. Provide sketch for the orientation of these dimensions., (3) Calculate the required development length or length of embedment (in at least 2 decimal places) for the top bars with a 180 degree hook and the length of straight extension. Provide sketch for the orientation of these dimensions.

Architectural Drafting and Design (MindTap Course List)
Architectural Drafting and Design (MindTap Course List)
7th Edition
ISBN:9781285165738
Author:Alan Jefferis, David A. Madsen, David P. Madsen
Publisher:Alan Jefferis, David A. Madsen, David P. Madsen
Chapter16: Floor Plan Symbols
Section: Chapter Questions
Problem 16.7Q
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-Q3.50-. A cantilever beam as shown in the figure has a clear covering of 50 mm at the top and at the extension of the hook. The beam dimensions are b = 320 mm and d = 470 mm and reinforced with 3- 28 mmø at the top and a stirrup holder of 20 mmø at the bottom. The bars are confined by a 10 mmø stirrups spaced at 150 mm. f'c = 28.3 MPa and fy = 418.5 MPa. (1) Calculate the required development length or length of embedment (in at least 2 decimal places) for the straight top bars. Use Table 425.4.2.2., (2) Calculate the required development length or length of embedment (in at least 2 decimal places) for the top bars with a 90 degree hook and the length of straight extension. Provide sketch for the orientation of these dimensions., (3) Calculate the required development length or length of embedment (in at least 2 decimal places) for the top bars with a 180 degree hook and the length of straight extension. Provide sketch for the orientation of these dimensions.

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
clear cover Ldh d.
Transcribed Image Text:clear cover Ldh d.
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