How does ideCAD design single angle connection according to AISC 360-16?
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smin ≥ 3d | AISC 360-16 J3.3 | | |
s | 79.5 mm | | |
d | 20 mm | s =79.5 mm > smin = 3*20=60 mm | √ |
Horizontal Edge Distance
The distance from the center of the hole to the edge of the connected part in the horizontal direction is checked per AISC 360-16.
Leh ≥ Le-min | AISC 360-16 J3.4 | | |
Leh | 50.75 mm | Leh ≥ 2d = 2 * 20 = 40 mm conformity check for application | √ |
Le-min | 26 mm | Minimum distance check according to Table J3.4 | √ |
Vertical Edge Distance
The distance from the center of the hole to the edge of the connected part in the vertical direction is checked per AISC 360-16.
Lev ≥ Le-min | AISC 360-16 J3.4 | | |
Lev | 40 mm | Leh ≥ 2d = 2 * 20 = 40 mm conformity check for application | √ |
Le- min | 26 mm | Minimum distance check according to Table J3.4 | √ |
Weld Size
The minimum size of fillet welds is checked according to AISC 360-16 Table J2.4
a ≥ amin | AISC 360-16 Table J2.4 | | |
a | 6 mm | | √ |
amin | 3.5 mm | Table J2.4 | √ |
Erection Stability
L≥ hb / 2 | | | |
L | 239 mm | | |
hb | 248.6 mm | L=239 > 248.6/2=124.3 mm | √ |
Strength Checks
Angle Shear Yield
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Ag | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_g = L_%7Bp%7D \times t_p =239 \times 12 = 2868 \; \; \mathrm%7Bmm%5e2%7D $$ |
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Fy | 235.359 N/mm2 | |
Rn | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n = 0.6F_%7By%7DA_g $$ |
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| Mathinline |
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| body | --uriencoded--$$ \normalsize R_n = 0.6 \times 235.359 \times 10%5e%7B-3%7D \times 2868=405\; \mathrm%7BkN%7D $$ |
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| AISC 360-16 J4-3 |
Rn / Ω | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n/ \Omega = 405/1.5 =270\; \mathrm%7BkN%7D $$ |
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Required | Available | Check | Result |
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68,159 kN | 270 kN | 0.252 | √ |
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Ag | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_%7Bg%7D = (2 \times 79.5 +40) \times 12 = 2388 \; \; \mathrm%7Bmm%5e2%7D $$ |
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Anv | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_%7Bnv%7D = ((2 \times 79.5+40)-2.5 \times 24) \times 12 = 1668 \; \; \mathrm%7Bmm%5e2%7D $$ |
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Ant | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_%7Bnt%7D = 12 \times(50.75-0.5 \times 24) = 465 \; \; \mathrm%7Bmm%5e2%7D $$ |
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Fy | 235.359 N/mm2 | |
Fu | 362.846 N/mm2 | |
Ubs | 1.0 | |
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| body | --uriencoded--$$ \normalsize U_%7Bbs%7D F_u A_%7Bnt%7D = 1 \times 362.846 \times 10%5e%7B-3%7D \times 465 = 168.72\; \mathrm%7BkN%7D $$ |
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| Mathinline |
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| body | --uriencoded--$$ \normalsize 0.6 F_%7Bu%7D A_%7Bnv%7D = 0.6 \times 362.846 \times 10%5e%7B-3%7D \times 1668 = 363.136\; \mathrm%7BkN%7D $$ |
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| Mathinline |
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| body | --uriencoded--$$ \normalsize 0.6 F_%7By%7D A_%7Bg%7D = 0.6 \times 235.359 \times 10%5e%7B-3%7D \times 2388 = 337.222\; \mathrm%7BkN%7D $$ |
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Rn | | Mathinline |
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| body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 0.6F_uA_%7Bnv%7D \\0.6F_yA_%7Bg%7D \end%7Bmatrix%7D\right] \end%7Baligned%7D + U_%7Bbs%7DF_uA_%7Bnt%7D |
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| Mathinline |
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| body | --uriencoded--\normalsize R_%7Bn%7D =337.222+168.72=505.942\; \mathrm%7BkN%7D |
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| AISC 360-16 J4-5 |
Rn / Ω | | Mathinline |
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| body | --uriencoded--\normalsize R_n/ \Omega = 505.942/2 =252.971 \; \; \mathrm%7BkN%7D |
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dh | 20+2=22 mm | |
Lc,edge | | Mathinline |
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| body | --uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h $$ |
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| Mathinline |
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| body | --uriencoded--$$ \normalsize L_%7Bc,edge%7D = \left [ \left ( \dfrac%7B378.6-239%7D %7B2%7D \right ) +40-0.5 \times 22 \right ] = 98.8\; \mathrm%7Bmm%7D $$ |
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Rn | | Mathinline |
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| body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2L_c \times t \times F_u \\2.4d \times t \times F_u \end%7Bmatrix%7D\right] \end%7Baligned%7D |
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| AISC 360-16 J3-6a |
Rn-edge | | Mathinline |
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| body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(98.9)(7.1)(362.846 \times 10%5e%7B-3%7D) \\2.4(20)(7.1)(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =123.658\; \mathrm%7BkN%7D |
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Lc,spacing | | Mathinline |
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| body | --uriencoded--$$ \normalsize L_%7Bc,spacing%7D = s - d_h = 79.5 - 22 = 57.5\; \mathrm%7Bmm%7D $$ |
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Rn-spacing | | Mathinline |
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| body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(57.5)(7.1)(362.846 \times 10%5e%7B-3%7D) \\2.4(20)(7.1)(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =123.658\; \mathrm%7BkN%7D |
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Rn | | Mathinline |
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| body | --uriencoded--\normalsize R_%7Bn%7D = n_eR_%7Bn,edge%7D + n_sR_%7Bn,spacing%7D |
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| Mathinline |
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| body | --uriencoded--\normalsize R_%7Bn%7D = 1 \times 123.658 + 2 \times 123.658 = 370.974 \; \mathrm%7BkN%7D |
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Rn / Ω | | Mathinline |
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| body | --uriencoded--\normalsize R_n/ \Omega = 370.974 /2 =185.487 \; \; \mathrm%7BkN%7D |
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Required | Available | Check | Result |
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68.159 kN | 185.487 kN | 0.367 | √ |
Bolt Bearing on Angle at Beam
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dh | 20+2=22 mm | |
Lc,edge | | Mathinline |
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| body | --uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h $$ |
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| Mathinline |
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| body | --uriencoded--$$ \normalsize L_%7Bc,edge%7D = 40-0.5 \times 22 = 29 $$ |
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Rn | | Mathinline |
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| body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2L_c \times t \times F_u \\2.4d \times t \times F_u \end%7Bmatrix%7D\right] \end%7Baligned%7D |
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| AISC 360-16 J3-6a |
Rn-edge | | Mathinline |
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| body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(98.9)(7.1)(362.846 \times 10%5e%7B-3%7D) \\2.4(20)(7.1)(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =123.658\; \mathrm%7BkN%7D |
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Lc,spacing | | Mathinline |
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| body | --uriencoded--$$ \normalsize L_%7Bc,spacing%7D = s - d_h = 79.5 - 22 = 57.5\; \mathrm%7Bmm%7D $$ |
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Rn-spacing | | Mathinline |
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| body | --uriencoded--\begin%7Baligned%7D \normalsize R_n = \mathrm%7Bmin%7D \left[\begin%7Bmatrix%7D 1.2(57.5)(12)(362.846 \times 10%5e%7B-3%7D) \\2.4(20)(12)(362.846 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =208.99\; \mathrm%7BkN%7D |
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Rn | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_%7Bn%7D = n_eR_%7Bn,edge%7D + n_sR_%7Bn,spacing%7D $$ |
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| Mathinline |
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| body | --uriencoded--$$ \normalsize R_%7Bn%7D = 1 \times 151.525 + 2 \times 208.99 = 569.505 \; \mathrm%7BkN%7D $$ |
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Rn / Ω | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n/ \Omega = 569.505 /2 =284.75 \; \; \mathrm%7BkN%7D $$ |
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Ab | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 20%5e2%7D %7B4%7D = 314.159 $$\; \mathrm%7Bmm%5e2%7D$$ |
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Fn | | Mathinline |
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| body | --uriencoded--$$ \normalsize F_n = 0.450 F_%7Bıb%7D %7Bub%7D = 0.450 \times 800 =360\; \mathrm%7BN/mm%5e2%7D $$ |
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Rn | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n = F_n A_b = 360 \times 314.159 \times 10%5e%7B-3%7D =113.097 \; \; \mathrm%7BkN%7D $$ |
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Rn / Ω | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n/ \Omega = 113.097 /2 =56.549 \; \; \mathrm%7BkN%7D $$ |
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Weld Strength at Support
Fe | 480000 kN480 N/mmm2 |
w | The weld thickness taken from the combination menu is 0.707 * w value. 6 / 0.707 = 8.487 mm |
Fu | 362.846 N/mm2 |
t | 12 mm |
Rnw | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_%7Bnw%7D = 0.6 F_e 0.707 w = 0.6 \times 480 \times 0.707 \times 8.487 =1728\; \mathrm%7BkN/m%7D $$ |
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RnBM | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_%7BnBM%7D = 0.6 F_u t = 0.6 \times 362.846 \times 12 =2612.49 \; \mathrm%7BkN/m%7D $$ |
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Rn | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n = min (R_%7Bnw%7D,R_%7BnBM%7D) = 1728 \; \mathrm%7BkN/m%7D $$ |
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R n / Ω | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n/ \Omega = 1728 /2 =864 \; \; \mathrm%7BkN/m%7D $$ |
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