M1AQ95. For a loaded propped beam in the figure below, design a singly reinforced beam (using the USD method and NSCP 2015) for the positive moment. Give the complete details of the design. The total depth of the beam must not exceed 600 mm to ensure acceptable floor-to-floor vertical clearance. f'c = 27.2 MPa and fy = 415.4 MPa. It carries a super- imposed dead load of 102 kN/m and a live load of 39.8 kN/m all applied over the entire length of the beam. Other load and beam properties are the following: L1 = 6.3 m, L2 = 2.5 m, I2 = 0.85 of I1. Use a minimum concrete cover of 60 mm. Optimize the design such that the minimum percent difference of the moment strength with the actual moment is 1% but to avoid overdesign it's max percent difference is 5%. Design the rectangular beam details to provide: width, total depth, effective depth, number and diameter of tension bars (for two layers, provide number of bars in the upper and lower layer and vertical clear spacing between the 2 layers), concrete cover from the bar centroid to bottom of beam (for two layers, provide concrete cover from bar centroid of bottom layer to bottom of beam).
Extracted text: L1 , I1 L2 , I2