A 9-m long rectangular reinforced concrete beam supports two-point loads, P that locate at one third from each ends, as shown in Figure below. The width of the beam is fixed at 400 mm. For simplicity, the self-weight of the beam is assumed to be included in each point load. Point load, P consists of the characteristic dead load component (80 kN) and the live load component (65 kN). The material properties and dimensions are given as follows: Grade 32 concrete with 30 mm cover to all steel reinforcement; Tension reinforcement of N28 bars with fsy of 500 N/mm2; Shear reinforcement of R10 with fsyf of 250 N/mm2; Capacity reduction factor, ϕbending = 0.8; ϕshear = 0.7.a. Construct the shear force diagram and bending moment diagram. Hence, determine the ultimate design moment. What is the minimum effective depth, d of the beam based on the ductility requirement of AS3600-2009? Recommend an overall depth. b. Hence, recommend the number of N28 bars required. c. Find the shear resistance of the concrete section with tensile reinforcement. Design the spacing of shear reinforcement and detailed the cross-section of the designed beam. Would you be adopting the same spacing across the beam? Why? A 9-m long rectangular reinforced concrete beam supports two-point loads, P that locate at onethird from each ends, as shown in Figure below. The width of the beam is fixed at 400 mm.For simplicity, the self-weight of the beam is assumed to be included in each point load. Pointload, P consists of the characteristic dead load component (80 kN) and the live load component(65 kN).The material properties and dimensions are given as follows:Grade 32 concrete with 30 mm cover to all steel reinforcement; Tension reinforcement of N28bars with fsy of 500 N/mm²; Shear reinforcement of R10 with fsyf of 250 N/mm²; Capacityreduction factor, bending = 0.8; shear = 0.7.PPa. Construct the shear force diagram and bending moment diagram. Hence, determine the ultimatedesign moment. What is the minimum effective depth, d of the beam based on the ductilityrequirement of AS3600-2009? Recommend an overall depth.b. Hence, recommend the number of N28 bars required.c. Find the shear resistance of the concrete section with tensile reinforcement. Design the spacingof shear reinforcement and detailed the cross-section of the designed beam. Would you beadopting the same spacing across the beam? Why?

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Answered: A 9-m long rectangular reinforced…

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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A 9-m long rectangular reinforced concrete beam supports two-point loads, P that locate at one third from each ends, as shown in Figure below. The width of the beam is fixed at 400 mm. For simplicity, the self-weight of the beam is assumed to be included in each point load. Point load, P consists of the characteristic dead load component (80 kN) and the live load component (65 kN). The material properties and dimensions are given as follows: Grade 32 concrete with 30 mm cover to all steel reinforcement; Tension reinforcement of N28 bars with fsy of 500 N/mm2 ; Shear reinforcement of R10 with fsyf of 250 N/mm2 ; Capacity reduction factor, ϕbending = 0.8; ϕshear = 0.7. a. Construct the shear force diagram and bending moment diagram. Hence, determine the ultimate design moment. What is the minimum effective depth, d of the beam based on the ductility requirement of AS3600-2009? Recommend an overall depth. b. Hence, recommend the number of N28 bars required. c. Find the shear resistance of the concrete section with tensile reinforcement. Design the spacing of shear reinforcement and detailed the cross-section of the designed beam. Would you be adopting the same spacing across the beam? Why?

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