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Lev ≥ L e-min | AISC 360-16 J3.4 | | |
Lev | 45 mm | | |
Le-min | 30 mm | Minimum distance check according to Table J3.4 | √ |
Strength Controls
Base Plate Thickness (
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Compression)
The required plate thickness is determined according to AISC Steel Design Guide 1 Eq.3.3.15a.
fc | 25000 kN/m2 | |
A1 | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_%7B1%7D = 900 \times 500 \times 10%5e%7B-6%7D = 0.45 \; \mathrm%7Bm%5e2%7D $$ |
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A2 | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_%7B2%7D = 900 \times 500 \times 10%5e%7B-6%7D = 0.45\; \mathrm%7Bm%5e2%7D $$ |
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qmax | | Mathinline |
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| body | --uriencoded--$$ \normalsize q_%7Bmax%7D = \varphi_c f_%7Bp(max)%7D B = 0.65 \times 21250 \times 0.5 = 6906.25 \; \mathrm%7BkN/m%7D $$ |
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fp(max) | | Mathinline |
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| body | --uriencoded--$$ \normalsize f_%7Bp(max)%7D = 0.85 f_c \sqrt %7B \dfrac%7BA_2%7D%7BA_1%7D %7D \leq 1.7f_c $$ |
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fp(max) | | Mathinline |
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| body | --uriencoded--$$ \normalsize f_%7Bp(max)%7D = 0.85 \times 25000 \sqrt %7B \dfrac%7B0.45%7D%7B0.45%7D %7D = 21250 \leq 1.7 \times 25000 =42500 \; \mathrm%7BkN/m%5e2%7D $$ |
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e | | Mathinline |
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| body | --uriencoded--$$ \normalsize e = \dfrac%7BM%7D%7BP%7D = \dfrac%7B365.17%7D%7B739.22%7D \times 10%5e3 =493.994 \; \mathrm%7Bmm%7D $$ |
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ecrit | | Mathinline |
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| body | --uriencoded--$$ \normalsize e_%7Bcrit%7D = \dfrac%7BN%7D%7B2%7D - \dfrac%7BP%7D%7B2q_%7Bmax%7D%7D = \dfrac%7B900%7D%7B2%7D - \dfrac%7B739.22%7D%7B2 \times 6906.25%7D 25 \times 10%5e%7B-3%7D%7D =396.482 \; \mathrm%7Bmm%7D $$ |
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Y | | Mathinline |
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| body | --uriencoded--$$ \normalsize Y = \left ( f + \dfrac%7BN%7D%7B2%7D \right ) \mp \sqrt%7B \left ( f +\dfrac%7BN%7D%7B2%7D \right )%5e2 - \dfrac%7B2P (e + f)%7D %7Bq_%7Bmax%7D%7D %7D $$ |
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Y | | Mathinline |
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| body | --uriencoded--$$ \small Y = \left ( 405 + \dfrac%7B900 %7D%7B2%7D \right ) \mp \sqrt%7B \left ( 405 +\dfrac%7B900%7D%7B2%7D \right )%5e2 - \dfrac%7B2 \times 739.22 (493.994 + 405)%7D %7B6906.25%7D %7D $$ |
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| Mathinline |
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| body | --uriencoded--$$ \small Y =121.123\; \mathrm%7Bmm%7D $$ |
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f | | Mathinline |
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| body | --uriencoded--$$ \normalsize f = \dfrac%7BN%7D%7B2%7D - l_e = \dfrac%7B900%7D%7B2%7D - 45 = 405 \; \mathrm%7Bmm%7D $$ |
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le | 45 mm | |
l | max(m,n)=141.25 | |
m | | Mathinline |
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| body | --uriencoded--$$ \normalsize m = \dfrac%7BN - 0.95h%7D%7B2%7D = \dfrac%7B900 -0.95 \times 650%7D%7B2%7D =141.25\; \mathrm%7Bmm%7D $$ |
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n | | Mathinline |
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| body | --uriencoded--$$ \normalsize n = \dfrac%7BB - 0.8b%7D%7B2%7D = \dfrac%7B500 -0.8 \times 300%7D%7B2%7D =130\; \mathrm%7Bmm%7D $$ |
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h | 650 mm | |
b | 300 mm | |
N | 900 mm | |
B | 500 mm | |
M | 365.17 kNm | |
P | 739.22 kN | |
y | 355 N/mm2 | |
treq | | Mathinline |
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| body | --uriencoded--$$ \normalsize t_%7Breq%7D = 2 \sqrt %7B \dfrac%7B \varphi_c f_%7Bp(max) %7D Y( l - \dfrac%7BY%7D%7B2%7D ) %7D%7B\varphi F_y %7D %7D =41.11\; \mathrm%7Bmm%7D $$ |
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| AISC DG-1-2nd 3.3.15.a |
Required | Available | Ratio | Control |
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41.11 mm | 42 mm | 0.979 | √ |
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fc | 25000 kN/m2 | |
A1 | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_%7B1%7D = 900 \times 500 \times 10%5e%7B-6%7D = 0.45 \; \mathrm%7Bm%5e2%7D $$ |
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A2 | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_%7B2%7D = 900 \times 500 \times 10%5e%7B-6%7D = 0.45 \; \mathrm%7Bm%5e2%7D $$ |
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qmax | | Mathinline |
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| body | --uriencoded--$$ \normalsize q_%7Bmax%7D = \varphi_c f_%7Bp(max)%7D B = 0.65 \times 21250 \times 0.5 = 6906.25 \; \mathrm%7BkN/m%7D $$ |
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e | | Mathinline |
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| body | --uriencoded--$$ \normalsize e = \dfrac%7BM%7D%7BP%7D = \dfrac%7B365.17%7D%7B739.22%7D \times 10%5e3 =493.994\; \mathrm%7Bmm%7D $$ |
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ecrit | | Mathinline |
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| body | --uriencoded--$$ \normalsize e_%7Bcrit%7D = \dfrac%7BN%7D%7B2%7D - \dfrac%7BP%7D%7B2q_%7Bmax%7D%7D = \dfrac%7B900%7D%7B2%7D - \dfrac%7B739.22%7D%7B2 \times 6906.25%7D 25 \times 10%5e%7B-3%7D %7D =396.482\; \mathrm%7Bmm%7D $$ |
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T | | Mathinline |
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| body | --uriencoded--$$ \normalsize T = q_%7Bmax%7D Y - P = 6906.25 \times 121.123 \times 10%5e%7B-3%7D - 739.22 = 97.286 286 \; \mathrm%7BkN%7D $$ |
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Y | | Mathinline |
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| body | --uriencoded--$$ \normalsize Y = \left ( f + \dfrac%7BN%7D%7B2%7D \right ) \mp \sqrt%7B \left ( f +\dfrac%7BN%7D%7B2%7D \right )%5e2 - \dfrac%7B2P (e + f)%7D %7Bq_%7Bmax%7D%7D %7D $$ |
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Y | | Mathinline |
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| body | --uriencoded--$$ \small Y = \left ( 405 + \dfrac%7B900 %7D%7B2%7D \right ) \mp \sqrt%7B \left ( 405 +\dfrac%7B900%7D%7B2%7D \right )%5e2 - \dfrac%7B2 \times 739.22 (493.994 + 405)%7D %7B6906.25%7D %7D $$ |
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| Mathinline |
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| body | --uriencoded--$$ \small Y =121.123\; \mathrm%7Bmm%7D $$ |
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f | | Mathinline |
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| body | --uriencoded--$$ \normalsize f = \dfrac%7BN%7D%7B2%7D - l_e = \dfrac%7B900%7D%7B2%7D - 45 = 405\; \mathrm%7Bmm%7D $$ |
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x | | Mathinline |
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| body | --uriencoded--$$ \normalsize x = m - l_e = 141.25 - 45 = 96.25\; \mathrm%7Bmm%7D $$ |
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le | 45 mm | |
m | | Mathinline |
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| body | --uriencoded--$$ \normalsize m = \dfrac%7BN - 0.95h%7D%7B2%7D = \dfrac%7B900 -0.95 \times 650%7D%7B2%7D =141.25\; \mathrm%7Bmm%7D $$ |
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h | 650 mm | |
N | 900 mm | |
B | 500 mm | |
M | 365.17 kNm | |
P | 739.22 kN | |
Fy | 355 N/mm2 | |
treq | | Mathinline |
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| body | --uriencoded--$$ \normalsize t_%7Breq%7D = 2 \sqrt %7B \dfrac%7B Tx %7D%7B\varphi F_y B %7D %7D = 2 \sqrt %7B \dfrac%7B 97.288 \times 96.25 \times 10%5e3 %7D%7B 0.9 \times 355 \times 500 %7D %7D =15.312\; \mathrm%7Bmm%7D $$ |
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| AISC DG-1-2nd 3.4.7a |
Required | Available | Ratio | Control |
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15.312 mm | 42 mm | 0.365 | √ |
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Ab | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 24%5e2%7D %7B4%7D = 452.389\; \mathrm%7Bmm%5e2%7D $$ |
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Fn | 750000 kN/m2 | |
Rn | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n = F_n A_b = 750 \times 452.389 \times 10%5e%7B-3%7D =339.292 \; \mathrm%7BkN%7D $$ |
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| AISC 360-16 J3-1 |
ΦRn | | Mathinline |
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| body | --uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 339.292 = 254.469 \; \; \mathrm%7BkN%7D $$ |
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Ψ | 1.0 | ACI 318M-08 D.5.3.6 |
Np | | Mathinline |
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| body | --uriencoded--$$ \normalsize N_p = 8A_%7Bbgr%7D f_c = 8 \times 7401.592 \times 25000 \times 10%5e%7B-6%7D $$ |
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| Mathinline |
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| body | --uriencoded--$$ \normalsize N_p = 1480.318\; \mathrm%7BkN%7D $$ |
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| ACI 318M-08 (D-15) |
Abgr | 7401.592 mm2 | |
fc | 25000 kN/m2 | |
Rn | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n = \psi N_p = 1.0 \times 1480.318 \; \mathrm%7BkN%7D = 1480.318 $$ |
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| ACI 318M-08 (D-14) |
ΦRn | | Mathinline |
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| body | --uriencoded--$$ \normalsize \varphi R_n = 0.70 \times 1480.318 = 1036.222 \; \mathrm%7BkN%7D $$ |
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Required | Available | Ratio | Control |
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28.779 kN | 1036.222 kN | 0.028 | √ |
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Ab | | Mathinline |
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| body | --uriencoded--$$ \normalsize A_b = \dfrac%7B \pi d%5e2%7D %7B4%7D = \dfrac%7B \pi 24%5e2%7D %7B4%7D = 452.389 \; \mathrm%7Bmm%5e2%7D $$ |
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Fn | | Mathinline |
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| body | --uriencoded--$$ \normalsize F_n = 0.450 F_%7Bub%7D = 0.450 \times 1000 =450 \; \mathrm%7BN/mm%5e2%7D $$ |
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Rn | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_n = F_n A_b = 450 \times 452.389 \times 10%5e%7B-3%7D =203.575\; \mathrm%7BkN%7D $$ |
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| AISC 360-16 J3-1 |
ΦRn | | Mathinline |
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| body | --uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 203.575 = 152.681 \; \mathrm%7BkN%7D $$ |
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dh | 24+3=27 mm | |
Lc,edge | | Mathinline |
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| body | --uriencoded--$$ \normalsize L_%7Bc,edge%7D = L_e - 0.5d_h = 45 - 0.5 \times 27 =31.5 \; \mathrm%7Bmm%7D $$ |
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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(31.5)(42)(469.999 470 \times 10%5e%7B-3%7D) \\2.4(24)(42)(469.999 470 \times 10%5e%7B-3%7D) \end%7Bmatrix%7D\right] \end%7Baligned%7D =746.17\; \mathrm%7BkN%7D |
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Rn | | Mathinline |
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| body | --uriencoded--$$ \normalsize R_%7Bn%7D = n_eR_%7Bn,edge%7D =1 \times 746.17 =746.17 \; \mathrm%7BkN%7D $$ |
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ΦRn | | Mathinline |
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| body | --uriencoded--$$ \normalsize \varphi R_n = 0.75 \times 746.17 = 559.628 \; \mathrm%7BkN%7D $$ |
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Required | Available | Ratio | Control |
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9.885 kN | 559.629 kN | 0.018 | √ |
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