A 1200 mm deep by 750 mm wide post-tensioned simply supported beam is shown below. The...

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Civil Engineering

A 1200 mm deep by 750 mm wide post-tensioned simply supportedbeam is shown below. The beam spans 12.0 m and is subject to asuperimposed dead load of 50 kN/m and a live load of 35 kN/m. Boththe superimposed dead load and live load are applied after transfer(after stressing has taken place). The tendon is located at themid-height of the beam at each end, and its centreline sits 50 mmfrom the base at midspan. The concrete strength at transfer is 22MPa, and at maturity is 40 MPa. AssumeE_c = 32800 MPa,?_c = 24 kN/m³ andignore any prestress losses.
a) If P_i = 2700 kN, assess theadequacy of the beam at transfer. In addition, assumingP_i cannot be changed, brieflydescribe three methods that could be used to ensure the transferstresses are within code limits.

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Solution the values given in the question areas followsdepth of beamd1200 mmwidth of beamb750 mmlength of beamL12 mdead loadDL50 kNmlive loadLL35 kNmeccentricity of tendon atcentree50 mmstress transfer in concreteI22MPamaturity stress in concrete40MPayoungs modulus of elasticity ofconcreteEc32800 MPaunit weight of See Answer

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