摘要:本文介绍了钢筋混凝土单向板肋梁楼盖设计,是土木工程学生设计 学习 的"居家良药".
1.设计资料
本设计为一 工业 车间楼盖,采用整体式钢筋混凝土单向板肋梁楼盖,楼盖梁格布置如图T-01所示,柱的高度取9m,柱子截面为400mm×400mm。
![](http://www.lwlm.com/upload/2008_08/080810163324581.jpg)
图T-01
(1)楼面构造层做法:20mm厚水泥砂浆面层,20mm厚混合砂浆顶棚抹灰。 (2)楼面活荷载:标准值为8kN/m2。 (3)恒载分项系数为1.2;活荷载分项系数为1.3(因为楼面活荷载标准值大于4kN/m2)。 (4)材料选用:
混凝土: 采用C20( , )。
钢筋:梁中架立钢筋、箍筋、板中全部钢筋采用HPB235( )。
其余采用HRB335( )。
2.板的 计算 。
板按考虑塑性内力重分布 方法 计算。
板的厚度按构造要求 取。次梁截面高度取 ,截面宽度 ,板的尺寸及支承情况如图T-02所示。
![](http://www.lwlm.com/upload/2008_08/080810163324589.jpg)
图T-02
![](http://www.lwlm.com/upload/2008_08/080810163324588.jpg)
图T-03
(1)荷载:
恒载标准值:
20mm水泥砂浆面层 ;
80mm钢筋混凝土板 ;
20mm混合砂浆顶棚抹灰 ;
;
恒载设计值 ;
活荷载设计值 ;
合计 ;
即每米板宽 。
(2)内力计算:
计算跨度:
边跨 ;
中间跨 ;
跨度差 ,说明可以按等跨连续板计算内力。取1m宽板带作为计算单元,其计算简图如图T-03所示。
各截面的弯矩计算见 表Q-01。
连续板各截面弯矩计算 |
表Q-01 |
截面 |
边跨跨中 |
离端第二支座 |
离端第二跨跨中及中间跨跨中 |
中间支座 |
弯矩计算系数![](http://www.lwlm.com/upload/2008_08/0808101633245823.gif) |
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(3)截面承载力计算:
,各截面的配筋计算见 表Q-02。
板的配筋计算 |
表Q-02 |
板带部位 |
边区板带(①~②、⑤~⑥轴线间) |
中间区板带(②~⑤轴线间) |
板带部位截面 |
边跨跨中 |
离端第二支座 |
离端第二跨跨中及中间跨跨中 |
中间支座 |
边跨跨中 |
离端第二支座 |
离端第二跨跨中及中间跨跨中 |
中间支座 |
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选配钢筋 |
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实配钢筋面积![](http://www.lwlm.com/upload/2008_08/0808101633245860.gif) |
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中间板带②~⑤轴线间,其各区格板的四周与梁整体连接,故各跨跨中和中间支座考虑板的内拱作用,其弯矩降低20%。
3.次梁的 计算 。
次梁按考虑塑性内力重分布 方法 计算。
取主梁的梁高 ,梁宽 。
荷载:
恒载设计值:
由板传来 ;
次梁自重 ;
梁侧抹灰 ;
;
活荷载设计值 : 由板传来 ;
合计: ;
(1)内力计算:
计算跨度:
边跨: ;
;
中间跨: ;
跨度差: ;
说明可以按等跨连续梁计算内力。
次梁弯矩和剪力见 表Q-03及 表Q-04。
(2)截面承载力计算:
次梁跨中截面按T形截面计算,其翼缘计算宽度为:
边跨: ;
离端第二跨、中间跨: ;
梁高: ;
翼缘厚: ;
判别T形截面类型:
![](http://www.lwlm.com/upload/2008_08/0808101633983925.gif)
故各跨中截面均属于属于第一类T形截面。
支座截面按矩形截面计算,离端第二支座按布置两排纵筋考虑,取 ,中间支座按布置一排纵筋考虑, 。
次梁正截面及斜截面承载力计算分别见 表Q-05及 表Q-06。
次梁弯矩计算 |
表Q-03 |
截面 |
边跨跨中 |
离端第二支座 |
离端第二跨跨中及中间跨 |
中间支座 |
弯矩计算系数![](http://www.lwlm.com/upload/2008_08/080810163398392.gif) |
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次梁正截面承载力计算 |
表Q-05 |
截面 |
边跨跨中 |
离端第二支座 |
离端第二跨跨中及中间跨跨中 |
中间支座 |
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选配钢筋 |
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实际钢筋面积
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次梁剪力计算 |
表Q-04 |
截面 |
端支座右侧 |
离端第二支座左侧 |
离端第二支座右侧 |
中间支座左侧、右侧 |
剪力计算系数![](http://www.lwlm.com/upload/2008_08/0808101633983957.gif) |
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次梁斜截面承载力计算 |
表Q-06 |
截面 |
边跨跨中 |
离端第二支座左侧 |
离端第二支座右侧 |
中间支座 |
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选用箍筋 |
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实际钢筋间距
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其中 ,所以满足最小配筋率。
4.主梁的 计算 。
主梁按弹性 理论 计算。
柱高 ,设柱截面尺寸为 。主梁的有关尺寸及支承情况如图所示。
(1)荷载:
恒载设计值:
由次梁传来: ;
主梁自重(折算为集中荷载)
![](http://www.lwlm.com/upload/2008_08/08081016333206113.gif) ;
梁侧抹灰(折算为集中荷载)
;
![](http://www.lwlm.com/upload/2008_08/08081016333206112.gif)
活荷载设计值:
由次梁传来: ![](http://www.studa.net/Newspic/2006316/105486477.gif)
合计: ![](http://www.lwlm.com/upload/2008_08/08081016333206117.gif)
(2)内力计算:
计算跨度:
边跨 ;
;
中间跨 ;
;
平均跨度 ;
跨度差 ,可按等跨连续梁计算。
由于主梁线刚度较柱的线刚度大得多,故主梁可视为铰支柱顶上的连续梁。
在各种不同分布的荷载作用下的内力计算可采用等跨连续梁的内力系数表进行,跨中和支座截面最大弯矩及剪力按下列公式计算,则:
;
;
式中系数K值由查表的,具体计算结果以及最不利内力组合见 表Q-07、表Q-08。
![](http://www.lwlm.com/upload/2008_08/08081016333206124.jpg)
![](http://www.lwlm.com/upload/2008_08/080810163332064.jpg)
内力包络图及剪力包络图
主梁弯矩计算 |
表Q-07 |
序号 |
荷载简图及弯矩图 |
边跨跨中 |
中间支座 |
中间跨跨中 |
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① |
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② |
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③ |
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④ |
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![](http://www.lwlm.com/upload/2008_08/0808101633320613.gif)
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![](http://www.lwlm.com/upload/2008_08/0808101633320612.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320616.gif)
|
最不利内力组合 |
①+② |
![](http://www.lwlm.com/upload/2008_08/0808101633320614.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320624.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320620.gif)
|
①+③ |
![](http://www.lwlm.com/upload/2008_08/0808101633320621.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320624.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320619.gif)
|
①+④ |
![](http://www.lwlm.com/upload/2008_08/0808101633320623.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320622.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320628.gif)
|
主梁剪力计算 |
表Q-08 |
序号 |
荷载简图及弯矩图 |
端支座 |
中间支座 |
![](http://www.lwlm.com/upload/2008_08/0808101633320630.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320618.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320617.gif)
|
① |
|
![](http://www.lwlm.com/upload/2008_08/0808101633320629.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320627.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320625.gif)
|
② |
|
![](http://www.studa.net/Newspic/2006316/105412857.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320640.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320637.gif)
|
④ |
|
![](http://www.lwlm.com/upload/2008_08/0808101633320636.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320635.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320639.gif)
|
|
①② |
![](http://www.lwlm.com/upload/2008_08/0808101633320634.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320645.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320632.gif)
|
|
①④ |
![](http://www.lwlm.com/upload/2008_08/0808101633320641.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320643.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320644.gif)
|
将以上最不利内立组合下的弯矩图及剪力图分别叠画在同一坐标图上,即可得主梁的弯矩包络图及剪力包络图,参见图纸。
(3)截面承载力计算:
主梁跨中截面按T行截面计算,其翼缘计算宽度为:
,并取 。
判别T形截面类型:
;
故属于第一类T形截面。
支座截面按矩形截面计算,取 (因支座弯矩较大考虑布置两排纵筋,并布置在次梁主筋下面)。
主梁正截面及斜截面承载力计算分别见 表Q-09及 表Q-10。
主梁正截面承载计算 |
表Q-09 |
截面 |
边跨跨中 |
中间支座 |
中间跨跨中 |
![](http://www.lwlm.com/upload/2008_08/0808101633320631.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320614.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320651.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320619.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320649.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320650.gif)
|
|
![](http://www.lwlm.com/upload/2008_08/0808101633320648.gif)
|
|
|
![](http://www.lwlm.com/upload/2008_08/0808101633320647.gif)
|
|
![](http://www.studa.net/Newspic/2006316/1054171300.gif)
|
|
|
![](http://www.lwlm.com/upload/2008_08/0808101633320653.gif)
或![](http://www.lwlm.com/upload/2008_08/0808101633320655.gif) |
![](http://www.lwlm.com/upload/2008_08/0808101633320658.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320661.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320659.gif)
|
![](http://www.studa.net/Newspic/2006316/1054188762.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320699.gif)
|
![](http://www.studa.net/Newspic/2006316/105418530.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320654.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320659.gif)
|
![](http://www.studa.net/Newspic/2006316/1054188762.gif)
|
![](http://www.lwlm.com/upload/2008_08/08081016333206104.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320657.gif)
|
![](http://www.studa.net/Newspic/2006316/1054196305.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320672.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320664.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320667.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320671.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320668.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320669.gif)
|
![](http://www.studa.net/Newspic/2006316/1054199981.gif)
|
选配钢筋 |
![](http://www.lwlm.com/upload/2008_08/0808101633320666.gif)
|
![](http://www.studa.net/Newspic/2006316/1054192729.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320662.gif)
|
![](http://www.studa.net/Newspic/2006316/1054198314.gif)
|
实际钢筋面积
![](http://www.studa.net/Newspic/2006316/105432225.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320674.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320676.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320679.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320675.gif)
|
|
|
|
|
|
|
主梁斜截面承载力计算 |
表Q-10 |
截面 |
支座Ar |
支座Bl |
支座Br |
![](http://www.lwlm.com/upload/2008_08/08081016333206113.gif) ![](http://www.lwlm.com/upload/2008_08/08081016333206106.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320634.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320680.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320644.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320677.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320678.gif)
|
![](http://www.studa.net/Newspic/2006316/1054218592.gif)
|
![](http://www.studa.net/Newspic/2006316/1054218592.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320684.gif)
|
![](http://www.studa.net/Newspic/2006316/1054213918.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320686.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320681.gif)
|
选用箍筋 |
![](http://www.lwlm.com/upload/2008_08/08081016333206108.gif)
|
![](http://www.lwlm.com/upload/2008_08/08081016333206108.gif)
|
![](http://www.lwlm.com/upload/2008_08/08081016333206108.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320683.gif)
|
![](http://www.lwlm.com/upload/2008_08/08081016333206107.gif)
|
![](http://www.lwlm.com/upload/2008_08/08081016333206107.gif)
|
![](http://www.lwlm.com/upload/2008_08/08081016333206107.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320697.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320696.gif)
|
|
|
实际箍筋间距![](http://www.lwlm.com/upload/2008_08/08081016333206109.gif) |
![](http://www.lwlm.com/upload/2008_08/0808101633320689.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320689.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320689.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320694.gif)
|
|
![](http://www.studa.net/Newspic/2006316/105422195.gif)
|
![](http://www.studa.net/Newspic/2006316/105422195.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320698.gif)
|
|
![](http://www.lwlm.com/upload/2008_08/0808101633320692.gif)
|
![](http://www.lwlm.com/upload/2008_08/0808101633320695.gif)
|
选配弯筋 |
|
![](http://www.studa.net/Newspic/2006316/1054226245.gif)
|
![](http://www.studa.net/Newspic/2006316/1054221100.gif)
|
实际弯筋面积![](http://www.lwlm.com/upload/2008_08/0808101633320690.gif) |
|
![](http://www.lwlm.com/upload/2008_08/0808101633320691.gif)
|
![](http://www.lwlm.com/upload/2008_08/08081016333206103.gif)
|
(4)主梁吊筋计算:由次梁传至主梁的全部集中力为:
由次梁传至主梁的全部集中力为:
;
则 ;
选 ;
|