板式樓梯的計(jì)算

,撓度驗(yàn)算,,,,,,,,,,

,,,,,,,,2023年3月18日,,,

基本信息,,,,,,,,,,,

計(jì)算跨度L0=,1750,mm,,允許撓度值[αf]=L0/,,,200,=,8.75,,

砼強(qiáng)度等級(jí)C,25,抗拉強(qiáng)度標(biāo)準(zhǔn)值ftk=,1.78,N/mm*mm,,,,,,,

,,砼彈性模量Ec=,28,kN/mm*mm,,,,,,,

縱向受拉鋼筋強(qiáng)度等級(jí),1,鋼筋彈性模量Es=,200,kN/mm*mm,,,,,,,

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截面形式是？,矩形,YES,,保護(hù)層厚度as=,,20,mm,,有效高度h0=,80,mm

,,截面寬度b=,1000,mm,,5,根直徑,10,受拉鋼筋A(yù)s=,392.70,mm*mm

,,截面高度h=,100,mm,,0,根直徑,0,受壓鋼筋A(yù)'s=,0.00,mm*mm

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,T形或I形,NO,,保護(hù)層厚度as=,,25,mm,,有效高度h0=,475,mm

,,截面腹板厚度b=,300,mm,,6,根直徑,25,受拉鋼筋A(yù)s=,2945.24,mm*mm

,,截面高度h=,500,mm,,0,根直徑,25,受壓鋼筋A(yù)'s=,0.00,mm*mm

,,受拉翼緣寬度bf=,0,mm,受壓翼緣寬度b`f=,,,500,mm,,

,,受拉翼緣高度hf=,0,mm,受壓翼緣高度h`f=,,,100,mm,,

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按標(biāo)準(zhǔn)組合（荷載短期效應(yīng)組合）計(jì)算的跨中彎矩Mk=,,,,,,5.293307207,kN*m,活載準(zhǔn)永久值系數(shù)=,,0.3,

按準(zhǔn)永久組合（荷載長(zhǎng)期效應(yīng)組合）計(jì)算的跨中彎矩Mq=,,,,,,4.355416582,kN*m,,,,

短期剛度Bs,,,,,,,,"Yeah,Let'sEnjoyit!*_*",,,

受拉鋼筋應(yīng)變?chǔ)襰s=Mk/(0.87*h0*As)=,,,193.67,N/mm*mm,,,,,,,

有效受拉混凝土截面面積Ate=,,,50000,mm*mm,,,,,,,

有效配筋率ρte=As/Ate=,,,0.0079,,,,,,,,

鋼筋應(yīng)變不均勻系數(shù)ψ=1.1-0.65ftk/(ρte*σss)=,,,0.34,,ψ修正得,0.40,,,,,

αE=Es/Ec=,,,7.14,,,,,,,,

受拉鋼筋配筋率ρ=As/b*h0=,,,0.00,,,,,,,,

T形或I形受壓翼緣面積與腹板有效面積之比值γ`f=(b`f-b)*h`f/(bh0)=,,,0.00,,,,,,,,

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短期剛度Bs=EsAs（h0*h0）/[1.15ψ+0.2+6αEρ/(1+3.5γ`f)]=,,,5.78E+11,N*mm*mm,,,,,,,

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長(zhǎng)期剛度Bl,,,,,,,,,,,

荷載長(zhǎng)期作用下的撓度增大影響系數(shù)θ=2-0.4ρ`/ρ=,,,2.00,,,,,,,,

長(zhǎng)期剛度Bl=MkBs/[Mq(θ—1)+Mk]=,,,3.16826E+11,N*mm*mm,,,,,,,

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撓度αf=5Mk（L0*L0）/(48Bl)=,,,5.33,mm,,,,,,,

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