ωmax =1.9*0.200* 85.130/210000.*(1.9*20.+0.08*14.29/0.01000) = 0.023mm,满足规范要求!
③、左端支座跨中裂缝:
裂缝间纵向受拉钢筋应变不均匀系数 ψ, 按下列公式计算:
ψ = 1.1 - 0.65 * ftk / (ρte * σsq) (混凝土规范式 7.1.2-2)
σsq = Mq / (0.87 * ho * As) (混凝土规范式 7.1.4-3)
σsq = 3.61*10^6/(0.87* 100.* 393.) = 105.541N/mm2
矩形截面,Ate=0.5*b*h=0.5*1000*120.= 60000.mm2
ρte = As / Ate (混凝土规范式 7.1.2-4)
ρte = 393./ 60000.= 0.007
当 ρte <0.01 时,取ρte = 0.01
ψ = 1.1 - 0.65* 2.01/( 0.01* 105.54) = -0.135
当 ψ<0.2 时,取ψ = 0.2
ωmax = αcr*ψ*σsq/Es*(1.9c+0.08*Deq/ρte) (混凝土规范式 7.1.2-1)
ωmax =1.9*0.200*105.541/210000.*(1.9*20.+0.08*14.29/0.01000) = 0.029mm,满足规范要求!
④、下端支座跨中裂缝:
裂缝间纵向受拉钢筋应变不均匀系数 ψ, 按下列公式计算:
ψ = 1.1 - 0.65 * ftk / (ρte * σsq) (混凝土规范式 7.1.2-2)
σsq = Mq / (0.87 * ho * As) (混凝土规范式 7.1.4-3)
σsq = 5.40*10^6/(0.87* 100.* 393.) = 158.057N/mm2
矩形截面,Ate=0.5*b*h=0.5*1000*120.= 60000.mm2
ρte = As / Ate (混凝土规范式 7.1.2-4)
ρte = 393./ 60000.= 0.007
当 ρte <0.01 时,取ρte = 0.01
ψ = 1.1 - 0.65* 2.01/( 0.01* 158.06) = 0.275
ωmax = αcr*ψ*σsq/Es*(1.9c+0.08*Deq/ρte) (混凝土规范式 7.1.2-1)
ωmax =1.9*0.275*158.057/210000.*(1.9*20.+0.08*14.29/0.01000) = 0.060mm,满足规范要求!
⑤、右端支座跨中裂缝:
裂缝间纵向受拉钢筋应变不均匀系数 ψ, 按下列公式计算:
ψ = 1.1 - 0.65 * ftk / (ρte * σsq) (混凝土规范式 7.1.2-2)
σsq = Mq / (0.87 * ho * As) (混凝土规范式 7.1.4-3)
σsq = 3.61*10^6/(0.87* 100.* 393.) = 105.541N/mm2
矩形截面,Ate=0.5*b*h=0.5*1000*120.= 60000.mm2
ρte = As / Ate (混凝土规范式 7.1.2-4)
ρte = 393./ 60000.= 0.007
当 ρte <0.01 时,取ρte = 0.01
ψ = 1.1 - 0.65* 2.01/( 0.01* 105.54) = -0.135
当 ψ<0.2 时,取ψ = 0.2
ωmax = αcr*ψ*σsq/Es*(1.9c+0.08*Deq/ρte) (混凝土规范式 7.1.2-1)
ωmax =1.9*0.200*105.541/210000.*(1.9*20.+0.08*14.29/0.01000) = 0.029mm,满足规范要求! 高中实验楼结构设计+CAD图纸(7):http://www.751com.cn/gongcheng/lunwen_22282.html