5.2.8.3  型钢柱构件承载力验算
 
区分 版本 / Revision No. 改善建议者 改善内容 内容列表
产品功能 Ver.112 R3 / No.2009-03

手册内容 Ver.110 R2 / No.2009-02

 
功能说明

1.  型钢截面混凝土框架柱,其偏心受压构件正截面受压承载力应按下列公式计算:

                                                                                                        (5.2.8-34)

                                                     (5.2.8-35)

                                                                                                                                                               (5.2.8-36)

                                                                                                                                                                                    (5.2.8-37)

式中:

  e —— 轴向力作用点至纵向受拉钢筋和型钢受拉翼缘的合力点之间的距离;

e0 —— 轴向力对截面重心的偏心距,e0 =M/N;

ea —— 考虑荷载位置不定性、材料不均匀,施工偏差等引起的附加偏心距;

 η —— 偏心受压构件考虑挠曲影响的轴向力偏心距增大系数,当长细比l0/h(或l0/d)小于或等于8时,可取η=1.0。

 

当(δ1h0<1.25xδ2h0>1.25x)时:                                                                      

                                                                                                                     (5.2.8-38)

                                           (5.2.8-39)

当(δ1h0<1.25x,δ2h0<1.25x)时:                                                                                     

                                                                                                       (5.2.8-40)

                                                                                                                                                                                                            (5.2.8-41)

受拉边或受压较小边的钢筋应力σs和型钢翼缘应力σa可按下列条件计算:

当x≤ξbh0时,为大偏心受压构件,取σs=fy 、σa=fa

当x>ξbh0时,为小偏心受压构件,取:

                                                          (5.2.8-42)

2. 型钢混凝土框架柱,其正截面偏心受压承载力计算,应考虑构件在弯矩作用平面内挠曲对轴向力偏心距的影响,应将轴向力对截面中心的偏心距e0乘以偏心距增大系数η,其值按下列公式计算:

                                                                                                                           (5.2.8-43)

                                                                                                                                                                           (5.2.8-44)

                                                                                                                                                            (5.2.8-45)

式中:

  l0 —— 柱的构件计算长度;

  h —— 截面高度,其中,对环形截面,取外直径;对圆形截面取直径;

h0 —— 截面有效高度,其中,对环形截面,取h0=r2+rs;对圆形截面,取h0=r+rs,此处r为圆形截面的半径,r2为圆环截面的外半径,rs为纵向钢筋重心所在圆周的半径;

ξ1 —— 偏心受压构件的截面曲率修正系数,当ξ1>1.0时,取ξ1=1.0;

ξ2 —— 构件长细比对截面曲率的影响系数,当l0/h<15时,取ξ2=1.0;

 A —— 构件截面面积,对T形、I形截面,均取A=bh+2(b'f-b)h'f。

 

3. 型钢混凝土框架柱受拉或受压较小边的纵向钢筋应力和型钢翼缘的应力,可按下列公式计算:

                                                                                                                                            (5.2.8-46)

                                                                                                                                        (5.2.8-47)

4. 型钢混凝土框架柱,在其偏心受压构件的正截面承载力计算中,应计入轴向压力在偏心方向存在的附加偏心距ea,其值应取20mm和偏心方向截面最大尺寸的1/30两者中的较大值。

5. 考虑地震作用组合的框架柱的节点上、下端的内力设计值应按下列规定采用:

      (1)节点上、下柱端的弯矩设计值

         一级抗震等级:

                                                                                                                                                                    (5.2.8-48)

         二级抗震等级:

                                                                                                                                                                            (5.2.8-49)

         三级抗震等级:取地震作用下的弯矩设计值

式中:

     ΣMc —— 节点上、下柱端的弯矩设计值之和;节点上柱端和下柱端的弯矩设计值,一般可按上、下柱端弹性分析所得的考虑地震作用组合的弯矩比进行分配;

ΣMbuE —— 同一节点左、右梁端按顺时针和逆时针方向组合,采用实配钢筋和实配型钢、材料强度标准值,且考虑承载力抗震调整系数的正截面受弯承载力所对应的弯矩值之和的较大值;

    ΣMb —— 同一节点左、右梁端按顺时针和逆时针方向考虑地震作用组合的弯矩设计值之和。

 

     (2)一、二、三级抗震等级的节点上、下柱端的轴向压力设计值,取地震作用组合下各自的轴向压力设计值

 

 6. 考虑地震作用组合的框架柱、框支层柱的剪力设计值Vc应按下列规定计算:

           一级抗震等级:

                                                                                                                                               (5.2.8-50)

           二级抗震等级:

                                                                                                                                                       (5.2.8-51)

            三级抗震等级:

                                                                                                                                                                (5.2.8-52)

式中:

M tcuE、M bcuE —— 框架柱上、下端采用实配和实配型钢、材料强度标准值,且考虑承载力抗震调整系数的正截面受弯承载力所对应的弯矩值;

         M tc、M bc —— 考虑地震作用组合的框架柱上、下端弯矩设计值;

                      Hn —— 柱的净高;

                      

 

7. 框架柱的受剪截面应符合下列要求:

    (1)非抗震设计

                                                                                                                                                                       (5.2.8-53)

                                                                                                                                                                           (5.2.8-54)

       (2)抗震设计

                                                                                                                                                        (5.2.8-55)

                                                                                                                                                                             (5.2.8-56)

8. 型钢混凝土框架柱的斜截面承载力应按下列公式计算:

     (1)非抗震设计

                                                   (5.2.8-57)

      (2)抗震设计

                      (5.2.8-58)

式中:

       λ ——框架柱的计算剪跨比,其值取上、下端较大弯矩设计值M与对应的剪力设计值V和柱截面有效高度h0的比值,即M/Vh0;当框架结构中的框架柱的反弯点在柱层高范围内时,柱剪跨比也可采用1/2柱净高与柱截面有效高度h0的比值;当λ小于1时,取1;当λ大于3时,取3;

     N —— 考虑地震作用组合的框架柱的轴向压力设计值;当N>0.3fcAc时,取N=0.3fcAc;

 

 

 

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