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- A W1422 acts compositely with a 4-inch-thick floor slab whose effective width b is 90 inches. The beams are spaced at 7 feet 6 inches, and the span length is 30 feet. The superimposed loads are as follows: construction load = 20 psf, partition load = 10 psf, weight of ceiling and light fixtures = 5 psf, and live load = 60 psf, A992 steel is used, and fc=4 ksi. Determine whether the flexural strength is adequate. a. Use LRFD. b. Use ASD.A rectangular beam 250 mm wide, 500 mm deep is reinforced at thebottom with 4-20-mm-diameter bars and at the top with 2-16-mmbars. Concrete cover to bar centroid at the top is 80 mm and at thebottom is 70 mm. Use concrete strength f’c = 21 MPa and steel yieldstrength fy = 415 MPa for 20-mm bars and fy = 275 MPa for 16-mm bars. 1. Determine the limiting tensile steel ratio for a tension controlledcondition in positive or negative bending with the given materialstrengths. ρt = [r] in 5 decimal places (ex. 0.00001)A rectangular reinforced concrete beam has a length of 7.5 m. It is supported with a hinged at one end and a roller 2m from the other end. The width of beam is 350 mm and the overall depth is 550 mm. The beam is reinforced with 5D25 tensionreinforcement and 2D25 compression reinforcement located at 60 mm from the outermostfiber of the beam. The concrete strength fc = 28 MPa and steel yield fy= 390 MPa. Determinethe following:a. Sketch the beam and its cross sectionb. Stress in the compression steel.c. Moment capacity of the beam.d. Factored uniform load throughout the entire span of the beam that could carry.
- 1. A reinforced concrete beam has a width of 300 mm and an effective depth of 618 mm. Compressive reinforcement (if required) will be placed at d’ = 60mm. f’c = 28 MPa and fy = 415 MPa. Use 2010/2015 NSCP. Use ? = 0.90 for flexure. At ultimate condition U = 1.2D +1.6L. a) If the beam is to support a bending moment of 240 kN-m from dead load and 195 kN-m from live load, determine the required design flexural strength of the section. b) If the beam is to support a bending moment of 240 kN-m from dead load and 195 kN-m from live load, determine the number of 28mm bars required as tension reinforcement4.2 A simply supported beam is reinforced with 5-ϕ25 mm at the bottom and 2-ϕ20 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc’= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Calculate: Design strength of the beam section to the nearest whole number = ____?___ kN·mProblem 4: A reinforced concrete beam has a width of 300 mm and an effective depth of 618 mm. Compressive reinforcement (if required) will be placed at d’ = 60mm. f’c = 25 MPa and fy = 415 MPa. The beam is to support a factored bending moment of 520 kN-m. φ=0.90. Use 2010/2015 NSCP. 1. Calculate the steel ratio for a balanced section2. Determine the governing steel ratio following NSCP requirements.
- 4.3 A simply supported beam is reinforced with 5-ϕ25 mm at the bottom and 2-ϕ20 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc’= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Calculate: Maximum service uniform live load over the entire span in addition to a DL = 20 kN/m (including the weight of the beam) if it has a span of 6 m = _____?____ kN/m (to the nearest whole number)A simply supported beam 300 mm wide, 500 mm deep and spans 5.3 m supports a service super imposed dead load of 8 kN/m and service live load of 6 kN/m. Concrete strength f’c = 21 MPa and steel yield strength fy = 415 MPa. Concrete cover to bar centroid is 70 mm. Determine the required amount of tensile reinforcement in mm^2 as per provisions of NSCP 2015.4.1 A simply supported beam is reinforced with 5-ϕ25 mm at the bottom and 2-ϕ20 mm at the top of the beam. Concrete covering to centroid of reinforcement is 70 mm at the top and 64 mm at the bottom of the beam. The beam has a gross depth of 450 mm and gross width of 300 mm. fc’= 28 MPa, fy = 415 MPa. Assume bars laid out in single layer. Calculate the following if the limiting tensile steel strain is 0.004 for a ductile failure: Calculate: Depth of the neutral axis from the extreme concrete compression fiber to the nearest whole number = ____?___ mm
- A floor systtem consist of a 75 mm concrete slab supported by continuous T beams with a span of 4.3 m spaced at 3 m on center. The beams have a web width, bw and effective depth, d. Calculate the necessary reinforcement for a typical interior beam if the applied factored load is 574 kN-m. Solve the following given a. ) bw = 400 mm; d = 500 mm; fy = 420 MPa; fc' = 28 MPa b. ) bw = 350 mm; d = 470 mm; fy = 420 MPa; fc' = 21 MPaA concrete sectionwith b = 20 in. and d = 27 in. is required to develop a bending moment strength of Mr = 1000 kip-ft. Use of compressivereinforcement is desired. Find the required reinforcement. Use f ′c = 4 ksi and fy = 60 ksi.Problem 2: A reinforced concrete beam has a width of 300 mm and a total depth of 550 mm. Effective cover to centroid of tension bars is 60mm. Compressive reinforcement (if required) will be placed at d’ = 60mm. f’c = 21 MPa and fy = 415 MPa. The Follow 2010/2015 NSCP provision and use ? = 0.90 for flexure. a.) Determine the required area of steel reinforcement, As, if the beam carries a factored moment of 79 kN-m. b.) Determine the required area of steel reinforcement, As, if the beam carries a factored moment of 193 kN-m. c.) Determine the required area of steel reinforcement, As, if the beam carries a factored moment of 402 kN-m.