BT3 计算结果

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1 梁板式楼梯:TB-1
1.1 基本资料
1.1.1 工程名称:工程一
1.1.2 楼梯类型:板式 B 型(__╱)支座条件:两端弹性
1.1.3 踏步段水平净长 Lsn = 4160mm 低端平板净长 Lln = 760mm
梯板净跨度 Ln = Lln + Lsn = 760 + 4160 = 4920mm 梯板净宽度 B = 2275mm 1.1.4 低端支座宽度 dl = 200mm 高端支座宽度 dh = 200mm
计算跨度 Lo = Min{Ln + (dl + dh) / 2, 1.05Ln} = Min{5120, 5166} = 5120mm
1.1.5 梯板厚度 h1 = 180mm
1.1.6 踏步段总高度 Hs = 2700mm 楼梯踏步级数 n = 17
1.1.7 线性恒荷标准值 Pk = 1kN/m 均布活荷标准值 qk = 3.5kN/m ψc = 0.7 ψq = 0.4
1.1.8 面层厚度 c1 = 50mm 面层容重γc1 =20kN/m 顶棚厚度 c2 = 20mm 顶棚容重γc2 =20kN/m
1.1.9 楼梯自重容重γb = 25kN/m
1.1.10 混凝土强度等级: C30 fc = 14.33N/mm ft = 1.43N/mm
ftk = 2.01N/mm Ec = 29791N/mm
1.1.11 钢筋强度设计值 fy = 360N/mm Es = 200000N/mm
纵筋合力点至近边距离 as = 35mm
1.2 楼梯几何参数
1.2.1 踏步高度 hs = Hs / n = 2700/17 = 158.8mm
踏步宽度 bs = Lsn / (n - 1) = 4160/(17-1) = 260mm
踏步段斜板的倾角α = ArcTan(hs / bs) = ArcTan(158.8/260) = 31.4°
踏步段斜板的长度 Lx = Lsn / Cosα = 4160/Cos31.4°= 4875mm
1.2.2 踏步段梯板厚的垂直高度 h1' = h1 / Cosα = 180/Cos31.4°= 211mm 踏步段梯板平均厚度 T = (hs + 2 * h1') / 2 = (159+2*211)/2 = 290mm
1.2.3 梯板有效高度 h1o = h1 - as = 180-35 = 145mm
1.3 均布永久荷载标准值
1.3.1 梯板上的线形荷载换算成均布永久荷载 gk1 = Pk / B = 1/2.275 = 0.44kN/m 1.3.2 踏步段梯板自重 gk2' =γb * T = 25*0.29 = 7.26kN/m
gk2 = gk2' * Lsn / Ln = 7.26*4.16/4.92 = 6.14kN/m
1.3.3 低端平板自重 gk3' =γb * h1 = 25*0.18 = 4.50kN/m
gk3 = gk3' * Lln / Ln = 4.5*0.76/4.92 = 0.70kN/m
1.3.4 踏步段梯板面层自重
gk4' =γc1 * c1 * (n - 1) * (hs + bs) / Lsn
= 20*0.05*(17-1)*(0.159+0.26)/4.16 = 1.61kN/m
gk4 = gk4' * Lsn / Ln = 1.61*4.16/4.92 = 1.36kN/m
1.3.5 低端平板面层自重 gk5' =γc1 * c1 = 20*0.05 = 1.00kN/m
gk5 = gk5' * Lln / Ln = 1*0.76/4.92 = 0.15kN/m
1.3.6 梯板顶棚自重 gk6' =γc2 * c2 = 20*0.02 = 0.40kN/m
gk6 = gk6' * (Ln + Lx - Lsn) / Ln = 0.4*(4.92+4.875-4.16)/4.92 = 0.46kN/m 1.3.7 均布荷载标准值汇总 gk = gk1 + gk2 + gk3 + gk4 + gk5 + gk6 = 9.25kN/m
1.4 均布荷载设计值
由可变荷载控制的 p(L) = 1.2 * gk + 1.4 * qk = 16.00kN/m
由永久荷载控制的 p(D) = 1.35 * gk + 1.4 * ψc * qk = 15.91kN/m
最不利的荷载设计值 p = Max{p(L), p(D)} = 16.00kN/m
1.5 支座反力
永久荷载作用下均布反力标准值 Rk(D) = 22.75kN/m
可变荷载作用下均布反力标准值 Rk(L) = 8.61kN/m
最不利的均布反力基本组合值 R = 39.35kN/m
1.6 梯板斜截面受剪承载力计算
Vmax ≤ 0.7 * ft * b * ho
Vmax = 0.5 * p * Ln = 0.5*16*4.92 = 39.3kN
0.7 * ft * b * ho = 0.7*1.43*1000*0.145
= 145.4kN ≥ Vmax = 39.3kN,满足要求。

1.7 正截面受弯承载力计算
1.7.1 跨中 Mmax = p * Lo ^ 2 / 10 = 16*5.12^2/10 = 41.93kN·m
As = 869mm ξ = 0.15 ρ = 0.60%
实配 16@120 (As = 1676mm )
1.7.2 支座 Mmin = - p * Lo ^ 2 / 20 = -16*5.12^2/20 = -20.97kN·m
As = 417mm ξ = 0.072 ρ = 0.29%
支座负筋尚应不小于底筋实配面积的四分之一,取 As = 419mm
实配 12@200 (As = 565mm )
1.8 跨中挠度验算
跨中挠度 f = 24.5mm f / Lo = 1/209
1.9 板式楼梯平面整体表示方法的注写内容
BT1, h = 180 158.8X17 = 2700 16@120
__________________________________________________________________________________ 【MorGain 结构快速设计程序 V2004.15.1162.0】 Date:2012-05-04 21:28:37
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