Question

In: Civil Engineering

Design a staircase for a two story building with the given loads: DL = 72 psf...

Design a staircase for a two story building with the given loads: DL = 72 psf LL = 60 psf The building floor height = 8ft for a total height of 16 ft. The staircase design must comply with the A.D.A. requirement for a hospital building. Design calculations must be in english units (ft, inches, pnds etc).

Solutions

Expert Solution

1.DATA:
number of steps in the flight= 8
tread T = 270 mm
Rise R= 130 mm
Width of landing beams= 300 mm
fck= 20 N/mm2
fy= 415 N/mm2
width of stair case b= 1000 mm
2.EFFECTIVE SPAN:
Effective span =(no of steps *thread )+width of landing beam
Effective span = 2460 mm= 2.46 m
thickness of waist slab =span /20= 123 mm
adopt overall depth = D= 123 mm
effective depth=d= 98 mm=
total dead load = 3.447379 KN/m
service live load= 2.872816 KN/m
total load= 6.320194 KN/m
factored load = wu= 1.5*t.l = 9.48029126 KN/m
4.BENDING MOMENTS:
maximum bending moment at centre of span is
Mu = 0.125 WuL2
Mu = 47.03409501 KN.m
5.CHECK OF DEPTH OF WAIST SLAB:
Mu=0.138fckbd2
by solving d = 130.5425 mm< 290 mm
hence safe
6.MAIN REINFORCEMENTS:
calculations
         Mu=0.87fy Ast d 0.1286307
0.8713693
0.9334716
by solving Ast = 464.8969828 mm2 0.0665284
464.89698
dia of bar= 12 mm
no of bar = 4.112677 nos 113.04
so Ast = 464.897 mm2
provide 12mm diameter bar at 200mm centres as mainreinforcement
7.DISTRIBUTION REINFORCEMENT:
distribution reinforcement = 0.12 percent of cross section
= 378 m

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