I. Calculate the minimum and maximum moments. II. Derive the equations for the top and bottom fiber considering the strength at transfer stage. III. Derive the equations for the top and bottom fiber considering the strength at service stage. IV. Find the elastic section modulas (Z) required and check the adequacy of the beam provided . V. Suggest a suitable section for the beam and find the tendon profile if the Pi value is 200 kN and presstress loss is 30%

Following figure shows a continuous prismatic beam subjected to uniformly distributed load. The minimum uniformly distributed load is 20 kN/m and maximum ultimate UDL under service is 70 kN/m. The compression and tension parameters of concrete is given below and the symbols have the usual notation. fa,max,t = 15 N/mm fa,min,t = -2.465 N/mm2 fa,max = 18.2 N/mm famin = -2.846 N/mm You are required to analyze the beam and evaluate Assuming the section size to be 500mmx300 mm, answer the following questions. Assume the Pi value is 200 KN and pre stress loss is 30% 9220 MA 0 m 1. II. II. Calculate the minimum and maximum moments. (5 Marks) Derive the equations for the top and bottom fiber considering the strength at transfer stage. (7.5 Marks) Derive the equations for the top and bottom fiber considering the strength at service stage. (7.5 Marks) Find the elastic section modulas (2) required and check the adequacy of the beam provided. (7.5 Marks) Suggest a suitable section for the beam and find the tendon profile if the Pi value is 200 kN and presstress loss is 30% (22.5 Marks) IV. V. Following figure shows a continuous prismatic beam subjected to uniformly distributed load. The minimum uniformly distributed load is 20 kN/m and maximum ultimate UDL under service is 70 kN/m. The compression and tension parameters of concrete is given below and the symbols have the usual notation. fa,max,t = 15 N/mm fa,min,t = -2.465 N/mm2 fa,max = 18.2 N/mm famin = -2.846 N/mm You are required to analyze the beam and evaluate Assuming the section size to be 500mmx300 mm, answer the following questions. Assume the Pi value is 200 KN and pre stress loss is 30% 9220 MA 0 m 1. II. II. Calculate the minimum and maximum moments. (5 Marks) Derive the equations for the top and bottom fiber considering the strength at transfer stage. (7.5 Marks) Derive the equations for the top and bottom fiber considering the strength at service stage. (7.5 Marks) Find the elastic section modulas (2) required and check the adequacy of the beam provided. (7.5 Marks) Suggest a suitable section for the beam and find the tendon profile if the Pi value is 200 kN and presstress loss is 30% (22.5 Marks) IV. V