1 SECTION A A reinforced concrete beam is simply supported over a 10 m span, with a 3 m cantilever span projecting beyond one support, as shown in Figure Al. The beam supports a characteristic uniformly distributed permanent load of 6 kN/m and concentrated characteristic variable imposed loads P - 80 kN and P, = 50 kN. (a) By considering a suitable load pattern or patterns and using appropriate partial safety factors for loads, determine the maximum design sagging bending moment for the 10 m span Min Partial factors of safety Dead load 1.0 1.35 Imposed load 0.0 1.5 Max (b) Consider the 10m span. Two beams are proposed (see Table Al), all are singly reinforced. For each one, check if the proposed design as a singly-reinforced section is adequate and if the reinforcement provided is sufficient. Select the proposal you consider most appropriate and briefly explain why, The characteristic concrete compressive strength fs - 35 N/mm", the characteristic steel yield stress f, = 500 N/mm”, the partial factor of safety for steel Y. - 1.15. For cross-section analysis, a rectangular stress block of concrete design stress 0.567 may be assumed. For a singly-reinforced section, take the design lever arm z to be 0.85d. P, = 80kN Pa = 50 KN Distributed load 6 m 10 m B 3 m Figure Al: Beam elevation Beam 1 Beam 2 b (mm) 300 mm 350 mm d (mm) 450 mm 520 mm h (mm) 480 mm 550 mm Reinforcement 3H25 4H25 Table Al: Proposed beam sections (c) What are the definitions of under-reinforced, balanced and over-reinforced sections? Why is it important to design a balanced section?
MACE20322 2 2 (a) A short reinforced concrete column of square 400 mm x 400 mm cross-section is located at Point B of Figure Al (page 2). It is reinforced symmetrically with 4H30 bars (see Figure A2). Using the design chart of Figure A3, check the capacity of the column is sufficient to resist the loads and moments. The characteristic concrete compressive strength fa = 30 N/mm", the characteristic steel yield stress fa-425 N/mm"the partial factor of safety for steel You = 1.15. 40 mm h = 400 mm h = 400 mm Figure A2: Column cross-section Parco - 0 --- 8 -12 09 4 SEE Figure A3: Column design chart
1 SECTION A A reinforced concrete beam is simply supported over a 10 m span, with a 3 m cantilever span projecting beyon
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1 SECTION A A reinforced concrete beam is simply supported over a 10 m span, with a 3 m cantilever span projecting beyon
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