Question 1 The following figure, Fig. 1 is a plan view of flat-plate system of the 4th floor of a building. The thickness of the slab (hs) is 175 mm. All columns are 400 mm x 400 mm. Assume that the slab is a Regular Two-way slah and thus, you are allowed to use Direct Design Method. Following information is provided: The dead load is assumed to be the self-weight of the slab. Specified live load on the slab is 4 kPa. Please ignore live load reduction factor. (a) Please show all the detailed calculations with a sketch showing the design strip, column strip, and middle strips and their dimensions for the span between column B2 and column B3 which is an interior span. (4) (b) Please determine Total Factored Static Moment (M.) for this design strip. (4) (c) Then, calculate all moment components with detailed calculations and justifications. It has been decided that the column strip will be designed for its minimum allowable moment. (6) (d) Finally, please show all the moments using the following flow chart. (4) Note: You are required to use the method that was used and discussed by Dr. Das during the lectures. Hence, there will be penalty if you use other methods including the one discussed in the textbook. M. Ms1 M92 Column strip Middle strip M. Column strip Middle strip Column Middle strip strip (C) Determine the spacing of the top reinforcement at the column strip. Please use the method that was used by Dr. Das in the lectures. Hence, there will be penalty if you use other methods. (7) Please use the following equation to calculate the area of steel required. Please do not use any other equations. M Flexural steel area required = As(reqra) = sfyid You must use Limit States design method of CSA A23.3 (latest version) Please assume that j = 0.9; f"= 30 MPa; f = 400 MPa; Density of concrete = 24 kN/m For the calculation of the effective depth, please assume one-layer of rebar in the slab and 25 mm concrete cover to the center of the rebar is provided. You are allowed to use 15M rebars only. Cross-sectional area of 15M rebar is 200 mm. C D 4800 mm 5200 mm SO00 mm LO 2000 mm + B2 4000 mm. 5000 mm + ++ ha H Fig 1. Plan view for the two-way slab 07 . + Question 1 The following figure, Fig. 1 is a plan view of flat-plate system of the 4th floor of a building. The thickness of the slab (hs) is 175 mm. All columns are 400 mm x 400 mm. Assume that the slab is a Regular Two-way slah and thus, you are allowed to use Direct Design Method. Following information is provided: The dead load is assumed to be the self-weight of the slab. Specified live load on the slab is 4 kPa. Please ignore live load reduction factor. (a) Please show all the detailed calculations with a sketch showing the design strip, column strip, and middle strips and their dimensions for the span between column B2 and column B3 which is an interior span. (4) (b) Please determine Total Factored Static Moment (M.) for this design strip. (4) (c) Then, calculate all moment components with detailed calculations and justifications. It has been decided that the column strip will be designed for its minimum allowable moment. (6) (d) Finally, please show all the moments using the following flow chart. (4) Note: You are required to use the method that was used and discussed by Dr. Das during the lectures. Hence, there will be penalty if you use other methods including the one discussed in the textbook. M. Ms1 M92 Column strip Middle strip M. Column strip Middle strip Column Middle strip strip (C) Determine the spacing of the top reinforcement at the column strip. Please use the method that was used by Dr. Das in the lectures. Hence, there will be penalty if you use other methods. (7) Please use the following equation to calculate the area of steel required. Please do not use any other equations. M Flexural steel area required = As(reqra) = sfyid You must use Limit States design method of CSA A23.3 (latest version) Please assume that j = 0.9; f"= 30 MPa; f = 400 MPa; Density of concrete = 24 kN/m For the calculation of the effective depth, please assume one-layer of rebar in the slab and 25 mm concrete cover to the center of the rebar is provided. You are allowed to use 15M rebars only. Cross-sectional area of 15M rebar is 200 mm. C D 4800 mm 5200 mm SO00 mm LO 2000 mm + B2 4000 mm. 5000 mm + ++ ha H Fig 1. Plan view for the two-way slab 07 . +