AISC 连接设计示例
AISC 连接设计示例. 剪切连接 between I-shaped sections are some of the most common connections in steel design. 帮助理解所需的设计检查 AISC 360-16, this article works through a design example. We can also get to the results of this example directly through the SkyCiv连接设计 模块. AISC 连接设计示例 AISC 连接设计示例.
A shear connection is a simple connection under AISC 360-16 B3.4. It is detailed to deliver the beam end reaction and to rotate rather than to carry end moment, which is what separates it from the moment connection covered in the companion article.
The calculations presented here use the Allowable Stress Design (自卫队) 方法. 如果你不熟悉 ASD 和 LRFD 在结构设计上的区别, 确保 看看我们的视频 解释这个.
AISC 连接设计示例
对于这个例子, we are going to evaluate the capacity of a single-plate connection between a W16x50 beam and a W14x90 column using the dimensions and bolts shown below. This connection needs to support the beam end reaction.
给定的:
服务水平负载 & 材料:
AISC 连接设计示例 (AISC 连接设计示例) = 8.0 ps
AISC 连接设计示例 (AISC 连接设计示例) = 25.0 ps
板材材质: ASTM A36, 风 = 36 KSI, Fu = 58 KSI
梁柱材料: ASTM A992, 风 = 50 KSI, Fu = 65 KSI
梁柱几何:
光束: AISC 连接设计示例; tw = 0.380 在, d = 16.3 AISC 连接设计示例, tf = 0.630 在
柱: AISC 连接设计示例; tf = 0.710 在.
AISC 连接设计示例: 1/4 在厚; 4 1/2 在x 11 1/2 在维度上
的 11 1/2 in plate depth comes from the bolt layout: four bolts at 3 in spacing gives 9 in between the outer bolts, 更多有 1 1/4 in edge distance top and bottom.
灯具 (螺栓和焊缝):
(4) – 3/4-在.-diameter ASTM F3125 Grade A325-N bolts in standard holes, 在 3 in spacing with 1 1/4 in edge distance
70-ksi 电极圆角. A325 和 A490 是 ASTM F3125 范围内的牌号, which consolidated the older standalone bolt specifications. For more on the fastener side, 请参阅有关的文档 螺栓 和 焊缝.
负载计算:
LRFD:
负载计算 (负载计算) = 1.2(8.0 ps) + 1.6(25.0 ps) = 49.6 ps
自卫队:
负载计算 (负载计算) = 8.0 ps + 25 基普 = 33.0 ps
Every check below is compared against the ASD reaction of 33.0 ps. The LRFD figure is carried only for the Manual table comparison at the end.
负载计算, 负载计算 360-16. The checks fall into three groups: the plate itself, the weld holding it to the column, and the bolt group joining it to the beam web.
AISC 连接设计示例, 螺栓组剪切和轴承检查
负载计算: Ω = 1.5
负载计算 = (0.6 负载计算 / Ω) = [ 0.6 (36 KSI) (0.25 在) 11.5 在 / 1.5 ] = 41.4 ps
设计容量比, 直流电:
负载计算, 负载计算 = 33.0 ps
总容量, 负载计算 = 41.4 ps
DCR = (33.0 / 41.4) = 0.797, 行
Shear Plate to W14x90 Flange, 焊接强度
角焊缝强度: Ω = 2.0
焊缝尺寸, t = 0.1875 在
负载计算 = 0.6 负载计算 [ 1.0 + 0.5 负载计算 θ ]
θ 负载计算
= 90, 用于横向加载的焊缝
= 0, 用于纵向受力焊缝
单位尺寸焊缝强度:
允许焊接应力, 负载计算 = [ 0.6 (70) / 2.0 ] = 21 KSI
横向长度, 负载计算 = 0 在
纵向长度, 负载计算 = 23 在
总有效长度, 升 = 负载计算 (1.5) + 负载计算 (1.0) = 0 (1.5) + 23 (1.0) = 23 在
(负载计算 / 一个) = 21 KSI (23 在) = 483 ps / 在
The weld runs both sides of the plate, 所以 23 in is 2 X 11.5 in and already accounts for both lines. The load runs along the weld axis here, so θ = 0 and there is no directional increase.
有效尺寸 (喉) 角焊缝, 一个:
0.707 负载计算
a = (0.707) t = 0.133 在
负载计算 = (负载计算 / 一个) 一个 = 483 (0.133 在) = 64.2 ps
设计容量比, 直流电:
所需负载, R = 33.0 ps
总容量, 负载计算 64.2 ps
DCR = (33.0 / 64.2) = 0.514, 行
AISC 连接设计示例, 螺栓组剪切和轴承检查
负载计算: Ω = 2.0
负载计算:
负载计算(s) = 0.875 在 (4) = 3.5 在
负载计算, 负载计算 = 11.5 负载计算 [ 0.875 在 (4) ] = 8.0 在
的 0.875 in is the 13/16 in standard hole plus the 1/16 in allowance AISC applies when computing net area.
负载计算 = (0.6 负载计算 / Ω) = [ 0.6 (58 KSI) (0.25 在) 8 在 / 2.0 ] = 34.8 ps
设计容量比, 直流电:
负载计算, 负载计算 = 33.0 ps
总容量, 负载计算 = 34.8 ps
DCR = (33.0 / 34.8) = 0.948, 行
Shear Plate at W16x50 Web, 负载计算
负载计算: Ω = 2.0
(负载计算 / Ω) = (负载计算 / Ω) + 分 [ 0.6 负载计算 , 0.6 负载计算 ] / Ω
Block shear tears a single block out of the plate: it ruptures across the horizontal edge distance and shears down the bolt line, so a tension term and a shear term are added.
负载计算: 负载计算= 1.0 (负载计算)
(负载计算 / Ω) = [ 1.0 (58 KSI) (1.0625 在) / 2.0 ] = 30.8 负载计算 (0.25 在) = 7.7 ps
负载计算: 0.6 负载计算
(0.6 负载计算 / Ω) = [ 0.6 (36 KSI) (10.25 在) / 2.0 ] (0.25) = 110.7 负载计算 (0.25 在) = 27.7 ps
负载计算: 0.6 负载计算
(0.6 负载计算 / Ω) = [ 0.6 (58 KSI) (7.1875 在) / 2.0 ] (0.25 在) = 125.1 负载计算 (0.25 在) = 31.3 ps
负载计算:
(负载计算 / Ω)= 7.7 ps + 分 [ 27.7 ps , 31.3 ps ] = 35.4 ps
设计容量比, 直流电:
负载计算, 负载计算 = 33.0 ps
总容量, 负载计算 = 35.4 ps
DCR = (33.0 / 35.4) = 0.933, 行
Shear Plate at W16x50 Web, 螺栓组剪切和轴承检查
1. 螺栓的剪切强度: Ω = 2.0
螺栓的剪切强度 0.768 在
螺栓的剪切强度, 收视率 = 54 KSI
螺栓的剪切强度 (螺栓的剪切强度), 螺栓的剪切强度 = 收视率 从 = (54 KSI) 0.463 螺栓的剪切强度 25.0 ps
(螺栓的剪切强度 / Ω) 螺栓的剪切强度 / 螺栓的剪切强度
的 54 ksi is the nominal shear stress for a Grade A325 bolt with threads included in the shear plane, taken straight from AISC Table J3.2, so no further reduction is applied to it.
2. 螺栓的剪切强度: Ω = 2.0
(螺栓的剪切强度)
clear distance at the edge bolt, 螺栓的剪切强度 = 0.84 在 (来自 1 1/4 in edge distance less half a hole)
clear distance to adjacent hole, 螺栓的剪切强度 = 2.19 在 (来自 3 in spacing less one hole)
The edge bolt has the smaller clear distance, so it controls:
(螺栓的剪切强度 / Ω) = (1.5 螺栓的剪切强度 / Ω) ≤ (3.0 螺栓的剪切强度 / Ω)
Because hole deformation is not taken as a design consideration here, 美国钢铁协会 360-16 J3-6b coefficients of 1.5 和 3.0 apply rather than the 1.2 和 2.4 of J3-6a.
螺栓的剪切强度 (螺栓的剪切强度), 螺栓的剪切强度 0.84 在:
螺栓的剪切强度 = 1.5 螺栓的剪切强度 Ť 螺栓的剪切强度 =1.5 (0.84 在) 0.25 在 (58 KSI) = 18.4 ps
(螺栓的剪切强度 / Ω) = 9.2 ps
螺栓的剪切强度 (螺栓的剪切强度), 螺栓的剪切强度 2.19 在:
螺栓的剪切强度 = 1.5 螺栓的剪切强度 Ť 螺栓的剪切强度 = 1.5 (2.19 在) 0.25 在 (58 KSI) = 47.6 ps
(螺栓的剪切强度 / Ω) = 23.8 ps
螺栓的剪切强度 (螺栓的剪切强度):
螺栓的剪切强度 = 3.0 螺栓的剪切强度 螺栓的剪切强度 = 3.0 (0.768 在) 0.25 在 (58 KSI) = 33.4 ps
(螺栓的剪切强度 / Ω) = 16.7 ps
螺栓的剪切强度 9.2 ps < 12.5 ps
3. 螺栓的剪切强度
螺栓的剪切强度: 螺栓的剪切强度, 螺栓的剪切强度.
一个). 螺栓的剪切强度 (螺栓的剪切强度):
(螺栓的剪切强度) , 螺栓的剪切强度 = 9.2 ps / 螺栓的剪切强度
b). 螺栓的剪切强度 (螺栓的剪切强度):
(螺栓的剪切强度) , 螺栓的剪切强度 = 12.5 ps / 螺栓的剪切强度
C). 螺栓的剪切强度: one outer bolt plus three inner bolts
螺栓的剪切强度 = 1 (9.2 ps / 螺栓的剪切强度) + 3 (12.5 ps / 螺栓的剪切强度) = 46.7 ps
设计容量比, 直流电:
负载计算, R = 33.0 ps
总容量, 螺栓的剪切强度 = 46.7 ps
DCR = (33.0 / 46.7) = 0.707, 行
Beam Web, 螺栓组剪切和轴承检查 (AISC 连接设计示例)
负载计算: Ω = 2.0
负载计算:
负载计算(s) = 0.875 在 (4) = 3.5 在
负载计算, 负载计算 螺栓的剪切强度 [ 0.875 在 (4) ] = 12.8 在
负载计算 = (0.6 负载计算 / Ω) = [ 0.6 (58 KSI) (0.38 在) 12.8 / 2.0 ] = 84.6 ps
设计容量比, 直流电:
负载计算, 负载计算 = 33.0 ps
总容量, 负载计算 = 84.6 ps
DCR = (33.0 / 84.6) = 0.390, 行
Beam Web, 螺栓组剪切和轴承检查
1. 螺栓的剪切强度: Ω = 2.0
螺栓的剪切强度 0.768 在
螺栓的剪切强度, 收视率 = 54 KSI
螺栓的剪切强度 (螺栓的剪切强度), 螺栓的剪切强度 = 收视率 从 = (54 KSI) 0.463 螺栓的剪切强度 25.0 ps
(螺栓的剪切强度 / Ω) 螺栓的剪切强度
2. 螺栓的剪切强度: Ω = 2.0
(螺栓的剪切强度)
clear distance at the edge bolt, 螺栓的剪切强度 = 0.84 在
clear distance to adjacent hole, 螺栓的剪切强度 = 2.19 在
The edge bolt has the smaller clear distance, so it controls.
(螺栓的剪切强度 / Ω) = (1.5 螺栓的剪切强度 / Ω) ≤ (3.0 螺栓的剪切强度 / Ω)
螺栓的剪切强度 (螺栓的剪切强度), 螺栓的剪切强度 0.84 在:
螺栓的剪切强度 = 1.5 螺栓的剪切强度 Ť 螺栓的剪切强度 = 1.5(0.84 在) 0.38 在 (58 KSI) = 27.9 ps
(螺栓的剪切强度 / Ω) = 13.9 ps
螺栓的剪切强度 (螺栓的剪切强度), 螺栓的剪切强度 2.19 在:
螺栓的剪切强度 = 1.5 螺栓的剪切强度 Ť 螺栓的剪切强度 = 1.5 (2.19 在) 0.38 在 (58 KSI) = 72.3 ps
(螺栓的剪切强度 / Ω) = 36.2 ps
螺栓的剪切强度 (螺栓的剪切强度):
螺栓的剪切强度 = 3.0 螺栓的剪切强度 螺栓的剪切强度 = 3.0 (0.768 在) 0.38 在 (58 KSI) = 50.8 ps
(螺栓的剪切强度 / Ω) = 25.4 ps
螺栓组剪切和轴承检查 12.5 ps < 13.9 ps
Note that the beam web is thicker than the plate at 0.380 in against 0.250 在, so every bearing value here is larger and the bolts themselves become the limit. The plate, being the thinner part, is where bearing governs.
3. 螺栓的剪切强度
螺栓的剪切强度: 螺栓的剪切强度, 螺栓的剪切强度.
一个). 螺栓的剪切强度 (螺栓的剪切强度):
(螺栓的剪切强度), 螺栓的剪切强度 = 12.5 ps / 螺栓的剪切强度
b). 螺栓的剪切强度 (螺栓的剪切强度):
(螺栓的剪切强度), 螺栓的剪切强度 = 12.5 ps / 螺栓的剪切强度
C). 螺栓的剪切强度: one outer bolt plus three inner bolts
螺栓的剪切强度 = 12.5 ps + 3(12.5 ps) = 50.0 ps
设计容量比, 直流电:
负载计算, R = 33.0 ps
总容量, 螺栓的剪切强度 = 50.0 ps
DCR = (33.0 / 50.0) = 0.660, 行
Every check passes. Plate shear rupture governs at 0.948, with block shear close behind at 0.933, and both are properties of the 1/4 in plate. If this reaction grew, a thicker plate would buy the most capacity for the least work.
或者, 螺栓组剪切和轴承检查, 螺栓组剪切和轴承检查, thanks to the design tables offered in the AISC Steel Construction Manual:
螺栓组剪切和轴承检查, 螺栓组剪切和轴承检查, 和螺栓轴承, 螺栓组剪切和轴承检查, 螺栓组剪切和轴承检查, 螺栓组剪切和轴承检查
螺栓组剪切和轴承检查, 1/4-在. 板厚, 和 3/16 英寸. 角焊缝尺寸.
来自 AISC 手册表 10-10a:
LRFD
披螺栓组剪切和轴承检查 = 52.2 ps > 49.6 螺栓组剪切和轴承检查, 行
自卫队
[Rñ / Ω = 34.8 ps > 33.0 基普 = 镭, 行
The table returns the same 34.8 kips that the long-hand plate shear rupture check gave above, which is the check that governs the plate.
螺栓组剪切和轴承检查
螺栓组剪切和轴承检查, 螺栓组剪切和轴承检查.
螺栓组剪切和轴承检查 10-1, 螺栓组剪切和轴承检查, 螺栓组剪切和轴承检查:
LRFD
披[R螺栓组剪切和轴承检查 351 负载计算. (0.380 AISC 连接设计示例) = 133 ps > 49.6 螺栓组剪切和轴承检查, 行
自卫队
[Rñ / Ω = 234 负载计算. (0.380 AISC 连接设计示例) = 88.9 ps > 33.0 基普 = 镭, 行
螺栓组剪切和轴承检查 (螺栓组剪切和轴承检查: 螺栓组剪切和轴承检查 ). 相似地, LRFD 版本示例可以在此链接中找到: 螺栓组剪切和轴承检查.
Run This Example Yourself
Enter the W16x50, the W14x90 and the 1/4 in plate, and the module returns every check above with its utilization ratio and the clause behind it. 它在浏览器中运行, 无需安装任何东西.
参考:
AISC 360-16, 钢结构建筑规范
AISC 钢结构手册, 桌子 10-1 and 10-10a
AISC 设计实例 v14.1 (参考, 参考 61)
SkyCiv连接设计软件: https://skyciv.com/structural-software/connection-design/
Single plate connection calculator: https://skyciv.com/structural-software/connection-design/single-plate-connection-calculator/
