【正文】
2)Calculation of local pressure bearing capacityThe formula of local pressure bearing capacity is:concrete core area, 。 the squire side length is 200, and diameter of cable is 230.1)Size of local pressionLocal pression size meet the requirement of the concrete crack resistance:。0ay0aMG1MG21MG22+MQl正應(yīng)力3801716505792455+11+11+1127329725610983000001017000007740000003801716505792455+11+11+1127329725610983000001017000007740000003801716505792455+11+11+112732972561098300000101700000774000000Principal tensile stressPrinciple tensile stress calculation table in changing point section計算纖維SnS39。0S0Ib第一項第二項第三項256100198372000205824900137432000+1120023700209028000217848900153368000+11200210600224376000230929600159696000+11200198372000205824900137432000+11200求和(剪應(yīng)力)2. Normal stressNpIIynbapepnAnInI39。0x0S0aS0x0 面積距239266511264139987 aax0x0 Vq= τ= 正應(yīng)力 計算纖維面積距剪應(yīng)力τ正應(yīng)力σ主應(yīng)力NpⅡ= 第一階段凈面積Sn第二階段凈面積S39。o第三階段凈面積SoσtpσcpNpⅡ=epn=aaσcx=x0x0204657417主應(yīng)力 bbσtp σcp 截面面積矩計算第一階段凈截面對其重心軸(重心軸位置x=)第二階段凈截面對其重心軸(重心軸位置x=)第三階段凈截面對其重心軸(重心軸位置x=) 截面類型 計算點位置aax0x0aax0x0aax0x0 面積局符號SnaSnx0S39。0x0S39。o第三階段凈面積SoσtpσcpNpⅡ=epn=aaσcx=x0x0203304322主應(yīng)力 bbσtp σcp L/4截面 截面面積矩計算第一階段凈截面對其重心軸(重心軸位置x=)第二階段凈截面對其重心軸(重心軸位置x=)第三階段凈截面對其重心軸(重心軸位置x=) 截面類型 計算點位置aax0x0bbaax0x0bbaax0x0bb 面積局符號SnaSnx0SnbS39。0x0S39。o第三階段凈面積SoσtpσcpNpⅡ= epn= aa σcx= x0x0216387428 主應(yīng)力 bb σtp σcp 跨中截面 截面面積矩計算第一階段凈截面對其重心軸(重心軸位置x=)第二階段凈截面對其重心軸(重心軸位置x=)第三階段凈截面對其重心軸(重心軸位置x=) 截面類型 計算點位置aax0x0bbaax0x0bbaax0x0bb 面積局符號SnaSnx0SnbS39。0x0S39。Summarize table about each sections’ stresses losses and effective prestress各截面鋼束預(yù)應(yīng)力損失平均值及有效預(yù)應(yīng)力匯總表 預(yù)應(yīng)力階段σlⅠ=σl1+σl2+σl4使用階段σlⅡ=σl5+σl6鋼束有效預(yù)應(yīng)力 σl1σl2σl4σlⅠσl5σl6σlⅡ預(yù)加力階段使用階段跨中截面 1169L/4截面變化點截面1143支點截面9. Stress check1)Shortterm normal stress check(1)Concrete grade is C45 at cast, transport and setup stage. Carrying prestress and selfweight, the normal stress of edge section concrete should fit: f’ck(2)The normal stress of halfspan section on shortterm condition upper edge: bottom edge: Take the first stage as its section features: (C)(C) 2) longterm normal stress check(1)stress check of prestress reinforcement in long termthe steel cable stress is: (2)concrete primary stress check in long termTake IIII section as an example:: calculation of area moment:The area moment of area above aa to gravity axis:Use the same theory, area moment in different calculation point are shown in TableCalculation table of area moment持久狀況下的混凝土主應(yīng)力驗算 變化點截面 截面面積矩計算第一階段凈截面對其重心軸(重心軸位置x=)第二階段凈截面對其重心軸(重心軸位置x=)第三階段凈截面對其重心軸(重心軸位置x=) 截面類型 計算點位置aax0x0bbaax0x0bbaax0x0bb 面積局符號SnaSnx0SnbS39。Reinforcement stress at force anchor , (5)Stress losses caused by concrete creep and shrinkage:Stress losses caused by concrete creep and shrinkage could calculate by use the following formula:、——load age is , final value of concrete shrinkage strain, and final value of concrete creep.——Load age,the load age till the 90% of the design strength, , ;To the second stage dead load , the load age , assume =90d;The bridge is at the mon area of field. The relative humidity is 75%,thickness of the member (I-I section), get ,check the table, get the final value of creep coefficient ;The final value of concrete shrinkage strain .the average value of normal stress at t