1、板式樓梯計(jì)算書一、示意圖:二、基本資料:1.依據(jù)規(guī)范:建筑結(jié)構(gòu)荷載規(guī)范（GB500092012）混凝土結(jié)構(gòu)設(shè)計(jì)規(guī)范（GB500102010）3.幾何參數(shù):樓梯凈跨: L1 = 3130 mm樓梯高度: H =1650 mm梯板厚: t =100 mm踏步數(shù): n = 12(階)梁寬度:b1 = 200 mm4.荷載標(biāo)準(zhǔn)值:可變荷載：q= 2.50kN/m2面層荷載：qm = 1.70kN/m2荷載分項(xiàng)系數(shù): G = 1.20可變荷載分項(xiàng)系數(shù): Q=1.40準(zhǔn)值系數(shù): q =0.505.材料信息:混凝土強(qiáng)度等級(jí): C30fc = 14.30 N/mm2ft = 1.43 N/mm2Rc=25.0

2、 kN/m3Ec = 3.00*104 N/mm2ftk = 2.01 N/mm2鋼筋強(qiáng)度等級(jí): HPB300fy = 270.00 N/mm2Es = 2.10*105 N/mm2保護(hù)層厚度：c = 20 mmRs=20 kN/m3梯段板縱筋合力點(diǎn)至近邊距離：as= 25 mm支座負(fù)筋系數(shù)： = 0.80三、計(jì)算過程:1.樓梯幾何參數(shù):踏步高度：h = 0.1269 m踏步寬度：b = 0.2442 m計(jì)算跨度：L0 = L1(b1b2)/2 = 2.93(0.200.20)/2= 3.13m梯段板與水平方向夾角余弦值：cos = 0.8872.荷載計(jì)算( 取 B = 1m 寬板帶):梯段板

3、:面層：gkm= (BB*h/b)*qm = (11*0.13/0.24)*1.70 = 2.58 kN/m自重：gkt4.40 kN/m= Rc*B*(t/cosh/2) = 25*1*(0.10/0.8870.13/2) =抹灰：gks= RS*B*c/cos = 20*1*0.02/0.887 = 0.45 kN/m恒荷標(biāo)準(zhǔn)值：Pk = gkmgktgks = 2.584.400.45 = 7.44 kN/m荷載設(shè)計(jì)值：Pn = G*PkQ*B*q = 1.20*7.441.40*1*2.50 = 12.43kN/m3.正截面受彎承載力計(jì)算：左端支座反力: Rl = 19.45 kN右端

4、支座反力: Rr = 16.96 kN最大彎矩截面距左支座的距離: Lmax = 1.56 m最大彎矩截面距左邊彎折處的距離:x= 1.56 mMmax = Rl*LmaxPn*x*x/2= 19.45*1.5612.43*1.56*1.56/2=15.22 kN/m相對(duì)受壓區(qū)高度：= 0.211564配筋率：= 0.011205縱筋(1 號(hào))計(jì)算面積：As = 840.38 mm2支座負(fù)筋(2、3 號(hào))計(jì)算面積：As=*As=0.80*840.38=672.30mm2四、計(jì)算結(jié)果：(為每米寬板帶的配筋):1.1 號(hào)鋼筋計(jì)算結(jié)果(跨中)計(jì)算面積 As：840.38 mm2選筋方案: A16200實(shí)配面積： 1005 mm22.2/3 號(hào)鋼筋計(jì)算結(jié)果(支座)計(jì)算面積 As：672.3