2024年3月19日发(作者:华为m6平板怎么样)
dlLsn=bs× (n-1)
梯板净跨度 Ln
dh
C
2
3
H
s
=
h
s
×
n
踏
步
段
总
高
度
C
1
2
h
s
bs
1
H
4
1 梁板式楼梯:TB1-1
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 A 型 ( ╱ ) 支座条件:两端弹性
1.1.3 踏步段水平净长 Lsn = 2080mm 梯板净跨度 Ln = Lsn = 2080mm
梯板净宽度 B = 1160mm
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{2280, 2184} = 2184mm
1.1.5 梯板厚度 h1 = 100mm
1.1.6 踏步段总高度 Hs = 1500mm 楼梯踏步级数 n = 9
1.1.7 线性恒荷标准值 Pk = 1.5kN/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 = 25mm 面层容重
γc1
=20kN/m 顶棚厚度 c2 = 20mm
顶棚容重
γc2
=18kN/m
1.1.9 楼梯自重容重
γb
= 25kN/m
1.1.10 混凝土强度等级: C25 fc = 11.94N/mm ft = 1.27N/mm
ftk = 1.78N/mm Ec = 27871N/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 = 25mm
1.2 楼梯几何参数
1.2.1 踏步高度 hs = Hs / n = 1500/9 = 166.7mm
踏步宽度 bs = Lsn / (n - 1) = 2080/(9-1) = 260mm
踏步段斜板的倾角
α
= ArcTan(hs / bs) = ArcTan(166.7/260) = 32.7°
踏步段斜板的长度 Lx = Lsn / Cos
α
= 2080/Cos32.7°= 2471mm
1.2.2 踏步段梯板厚的垂直高度 h1' = h1 / Cos
α
= 100/Cos32.7°= 119mm
踏步段梯板平均厚度 T = (hs + 2 * h1') / 2 = (167+2*119)/2 = 202mm
1.2.3 梯板有效高度 h1o = h1 - as = 100-25 = 75mm
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 = 1.5/1.16 = 1.29kN/m
1.3.2 梯板自重 gk2 =
γb * T
= 25*0.202 = 5.05kN/m
1.3.3 踏步段梯板面层自重
gk3 =
γc1 * c1 * (n - 1) * (hs + bs) / Ln
= 20*0.025*(9-1)*(0.167+0.26)/2.08
= 0.82kN/m
1.3.4 梯板顶棚自重 gk4' =
γc2 * c2
= 18*0.02 = 0.36kN/m
h
1
板式 A 型
gk4 = gk4' * Lx / Ln = 0.36*2.471/2.08 = 0.43kN/m
1.3.5 均布荷载标准值汇总 gk = gk1 + gk2 + gk3 + gk4 = 7.59kN/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 = 14.01kN/m
由永久荷载控制的 p(D) = 1.35 * gk + 1.4 *
ψc * qk
= 13.68kN/m
最不利的荷载设计值 p = Max{p(L), p(D)} = 14.01kN/m
1.5 支座反力
永久荷载作用下均布反力标准值 Rk(D) = 7.90kN/m
可变荷载作用下均布反力标准值 Rk(L) = 3.64kN/m
最不利的均布反力基本组合值 R = 14.57kN/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 * Cos
α
= 0.5*14.01*2.08*Cos32.7° = 12.3kN
0.7 * ft * b * ho = 0.7*1.27*1000*0.075
= 66.7kN ≥ Vmax = 12.3kN,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 = 14.01*2.184^2/10 = 6.68kN·m
As = 261mm
ξ
= 0.105
ρ
= 0.35%
实配 12@200 (As = 565mm)
1.7.2 支座 Mmin = - p * Lo ^ 2 / 10 = -14.01*2.184^2/10 = -6.68kN·m
As = 261mm
ξ
= 0.105
ρ
= 0.35%
实配 12@200 (As = 565mm)
1.8 跨中挠度验算
跨中挠度 f = 2.7mm f / Lo = 1/822
1.9 板式楼梯平面整体表示方法的注写内容
AT1, h = 100 166.7X9 = 1500 板面:12@200, 板底:12@200
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【MorGain 结构快速设计程序 V2004.15.1162.0】 Date:2012-05-02 11:45:21
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