Ron Kok ronkok

## EndPlateConnectionExample.md

      
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                Example of an end plate connection calculation. Not complete. Not for production.
              
          
    Steel End Plate Connection![EndPlateConnection][]

¢format = "h3", round result fractions to 3 significant digits.
Get properties of wide flange steel sections:
¢wideFlanges = fetch("https://gist.githubusercontent.com/ronkok/d2ae5b3c74889e71c7bb8422b6017067/raw/AISC-v15-wideFlanges.tsv") = !
Load individual dimensions into variables for the beam and column:

  
## steelStrengthPerAISC360-16.hrms
# Hurmet functions to find strength of steel beams and columns per AISC 360-16.
# Copyright 2020 - 2022 Ron Kok
# Released under terms of the MIT License, https://opensource.org/licenses/MIT

function Ps(section, Fy, kLx, kLy)
  # LRFD axial strength of a steel member, per AISC 360-16 sections B & E
  Pcr = criticalAxialStrength(section, Fy, kLx, kLy)
  return 0.9 × Pcr
end

## ParentTrial.hrms
# Material data and load criteria for project xxxxx.

# Concrete data
f_c′ = 4500 'psi'     # Concrete specified compressive strength
f_c′′ = 4500 'psi²'   # Ditto for use when ACI 318 calls for √f_c′
f_yr = 60000 'psi'    # Reinforcement yield strength
β_1 = 0.825
ρ_0 = 0.0197          # Maximum reinforcement ratio that may use 0.9 for bending ϕ
ρ_max = 0.0206        # Maximum reinforcement ratio
E_c = 3824 'ksi'      # Modulus of elasticity

## steelStrengthPerAISC360-16.txt
# Hurmet functions to find strength of steel beams and columns per AISC 360-16.
# Copyright 2020 - 2023 Ron Kok
# Released under terms of the MIT License, https://opensource.org/licenses/MIT

function Ps(section, Fy, kLx, kLy)
    # LRFD axial strength of a steel member, per AISC 360-16 sections B & E
    # section is a dictionary containing section properties of the column
    # Fy is the steel yield stress
    # kLx and kLy are the adjusted unbraced length
    Pcr = criticalAxialStrength(section, Fy, kLx, kLy)

## ParentFileExample.txt
# Material data and load criteria for project xxxxx.

# Concrete data
f_c′ = 4500 'psi'     # Concrete specified compressive strength
f_c′′ = 4500 'psi²'   # Ditto for use when ACI 318 calls for √f_c′
f_yr = 60000 'psi'    # Reinforcement yield strength
β_1 = 0.825
ρ_0 = 0.0197          # Maximum reinforcement ratio that may use 0.9 for bending ϕ
ρ_max = 0.0206        # Maximum reinforcement ratio
E_c = 3824 'ksi'      # Modulus of elasticity

## beam.txt
# Hurmet module for beam diagram creation.
# function diagram() returns a rendered beam diagram.
# function shearMaximums() returns a vector containing the maximum and minimum shear values
# function momentMaximums() returns a vector containing the maximum and minimum bending moment values
# Copyright 2022 Ron Kok
# Released under terms of the MIT License, https://opensource.org/licenses/MIT

function diagram(diagramInput)
   # This function creates a beam diagram.
   # It displays a load diagram, a shear diagram, and a moment diagram.

## AISC-v15-wideFlanges.tsv
#name	weight	mass	A	d	bf	tw	tf	kdes	Ix	Zx	Sx	rx	Iy	Zy	Sy	ry	J	Cw	Wno	Sw1	Qf	Qw	rts	T	WGi
 	lbf/ft	lbm/ft	in²	in	in	in	in	in	in⁴	in³	in³	in	in⁴	in³	in³	in	in⁴	in⁶	in²	in⁴	in³	in³	in	in	in
W44X335	335	335	98.5	44.0	15.9	1.03	1.77	2.56	31100	1620	1410	17.8	1200	236	150	3.49	74.7	535000	168	1180	278	805	4.24	38	5.5
W44X290	290	290	85.4	43.6	15.8	0.865	1.58	2.36	27000	1410	1240	17.8	1040	205	132	3.49	50.9	461000	166	1040	248	701	4.20	38	5.5
W44X262	262	262	77.2	43.3	15.8	0.785	1.42	2.20	24100	1270	1110	17.7	923	182	117	3.47	37.3	405000	165	928	223	630	4.17	38	5.5
W44X230	230	230	67.8	42.9	15.8	0.710	1.22	2.01	20800	1100	971	17.5	796	157	101	3.43	24.9	346000	165	793	192	547	4.13	38	5.5
W40X655	655	655	193	43.6	16.9	1.97	3.54	4.72	56500	3080	2590	17.1	2870	542	340	3.86	589	1150000	169	2530	529	1530	4.71	34	7.5
W40X593	593	593	174	43.0	16.7	1.79	3.23	4.41	50400	2760	2340	17.0	2520	481	302	3.80	445	997000	166	2240	479	1370	4.63	34	7.5
W40X503	503	503	148	42.1	16.4	1.54	2.76	3.94	41600	2320	1980	16.8	2040	394	249	3.72

## AISC-v15-MS.tsv
#name	weight	mass	A	d	bf	tw	tf	kdes	Ix	Zx	Sx	rx	Iy	Zy	Sy	ry	J	Cw	Wno	Sw1	Qf	Qw	rts	T	WGi
 	lbf/ft	lbm/ft	in²	in	in	in	in	in	in⁴	in³	in³	in	in⁴	in³	in³	in	in⁴	in⁶	in²	in⁴	in³	in³	in	in	in
M12.5X12.4	12.4	12.4	3.63	12.5	3.75	0.155	0.228	0.563	89.3	16.5	14.2	4.96	2.01	1.68	1.07	0.744	0.0493	76.0	11.5	2.46	2.51	8.06	0.933	11.375	0
M12.5X11.6	11.6	11.6	3.40	12.5	3.50	0.155	0.211	0.563	80.3	15.0	12.8	4.86	1.51	1.37	0.864	0.667	0.0414	57.1	10.8	1.99	2.17	7.36	0.852	11.375	0
M12X11.8	11.8	11.8	3.47	12.0	3.07	0.177	0.225	0.563	72.2	14.3	12.0	4.56	1.09	1.15	0.709	0.559	0.0500	37.7	9.04	1.56	1.92	7.02	0.731	10.875	0
M12X10.8	10.8	10.8	3.18	12.0	3.07	0.160	0.210	0.563	66.7	13.2	11.1	4.58	1.01	1.07	0.661	0.564	0.0393	35.0	9.05	1.46	1.80	6.48	0.732	10.875	0
M12X10	10.0	10.0	2.95	12.0	3.25	0.149	0.180	0.500	61.7	12.2	10.3	4.57	1.03	1.02	0.636	0.592	0.0292	35.9	9.60	1.40	1.65	5.98	0.768	11	0
M10X9	9.00	9.00	2.65	10.0	2.69	0.157	0.206	0.563	39.0	9.22	7.79	3.83	0.672	0.809	0.500	0.503	0.0314	16.1	6.59	0.910	1.28	4.52	0.650	8.8

## AISC-v15-HP.tsv
#name	weight	mass	A	d	bf	tw	tf	kdes	Ix	Zx	Sx	rx	Iy	Zy	Sy	ry	J	Cw	Wno	Sw1	Qf	Qw	rts	T	WGi
 	lbf/ft	lbm/ft	in²	in	in	in	in	in	in⁴	in³	in³	in	in⁴	in³	in³	in	in⁴	in⁶	in²	in⁴	in³	in³	in	in	in
HP18X204	204	204	60.2	18.3	18.1	1.13	1.13	2.31	3480	433	380	7.6	1120	191	124	4.31	29.5	82500	77.7	397	82.3	212	5.03	13.5	7.5
HP18X181	181	181	53.2	18	18	1	1	2.18	3020	379	336	7.53	974	167	108	4.28	20.7	70400	76.5	344	72.3	185	4.96	13.5	7.5
HP18X157	157	157	46.2	17.7	17.9	0.87	0.87	2.05	2570	327	290	7.46	833	143	93.1	4.25	13.9	59000	75.3	293	62.3	159	4.92	13.5	7.5
HP18X135	135	135	39.9	17.5	17.8	0.75	0.75	1.93	2200	281	251	7.43	706	122	79.3	4.21	9.12	49500	74.5	249	53.5	136	4.85	13.5	7.5
HP16X183	183	183	54.1	16.5	16.3	1.13	1.13	2.31	2510	349	304	6.81	818	156	100	3.89	26.9	48300	62.2	285	65.4	169	4.55	11.75	5.5
HP16X162	162	162	47.7	16.3	16.1	1	1	2.18	2190	306	269	6.78	697	134	86.6	3.82	18.8	40800	61.6	248	57.8	149	4.45	11.75	5.5
HP16X141	141	141	41.7	16	16	0.875	0.875	2.06	1870	264	234	6.7	599	116	74.9	3.79	12.9	34300	60.5	21

## AISC-v15-2L.tsv

          
            #name
            weight
            mass
            A
            d
            b
            t
            y
            yp
            Ix
            Zx
            Sx
            rx
            Iy
            Zy
            Sy
            ry
            ro
            H

            
              lbf/ft
              lbm/ft
              in²
              in
              in
              in
              in
              in
              in⁴
              in³
              in³
              in
              in⁴
              in³
              in³
              in
              in

            
              2L12X12X1-3/8
              210
              210
              62.2
              12.0
              12.0
              1.38
              3.50
              1.30
              826
              176
              97.2
              3.64
              1590
              218
              133
              5.06
              6.84
              0.831

            
              2L12X12X1-3/8X3/4
              210
              210
              62.2
              12.0
              12.0
              1.38
              3.50
              1.30
              826
              176
              97.2
              3.64
              1760
              241
              142
              5.32
              7.03
              0.840

            
              2L12X12X1-3/8X1-1/2
              210
              210
              62.2
              12.0
              12.0
              1.38
              3.50
              1.30
              826
              176
              97.2
              3.64
              1950
              264
              153
              5.60
              7.25
              0.850

            
              2L12X12X1-1/4
              193
              193
              56.8
              12.0
              12.0
              1.25
              3.45
              1.18
              762
              161
              89.2
              3.66
              1440
              196
              120
              5.04
              6.84
              0.829

            
              2L12X12X1-1/4X3/4
              193
              193
              56.8
              12.0
              12.0
              1.25
              3.45
              1.18
              762
              161
              89.2
              3.66
              1590
              217
              128
              5.29
              7.03
              0.839

            
              2L12X12X1-1/4X1-1/2
              193
              193
              56.8
              12.0
              12.0
              1.25
              3.45
              1.18
              762
              161
              89.2
              3.66
              1760
              239
              138
              5.57
              7.24
              0.848

            
              2L12X12X1-1/8
              174
              174
              51.6
              12.0
              12.0
              1.13
              3.41
              1.08
              700
              147
              81.4
              3.68
              1300
              176
              108
              5.02
              6.85
              0.827

            
              2L12X12X1-1/8X3/4
              174
              174
              51.6
              12.0
              12.0
              1.13
              3.41
              1.08
              700
              147
              81.4
              3.68
              1440
              195
              116
              5.28
              7.04
              0.837
	# Hurmet functions to find strength of steel beams and columns per AISC 360-16.
	# Copyright 2020 - 2022 Ron Kok
	# Released under terms of the MIT License, https://opensource.org/licenses/MIT

	function Ps(section, Fy, kLx, kLy)
	# LRFD axial strength of a steel member, per AISC 360-16 sections B & E
	Pcr = criticalAxialStrength(section, Fy, kLx, kLy)
	return 0.9 × Pcr
	end
	# Material data and load criteria for project xxxxx.

	# Concrete data
	f_c′ = 4500 'psi' # Concrete specified compressive strength
	f_c′′ = 4500 'psi²' # Ditto for use when ACI 318 calls for √f_c′
	f_yr = 60000 'psi' # Reinforcement yield strength
	β_1 = 0.825
	ρ_0 = 0.0197 # Maximum reinforcement ratio that may use 0.9 for bending ϕ
	ρ_max = 0.0206 # Maximum reinforcement ratio
	E_c = 3824 'ksi' # Modulus of elasticity
	# Hurmet functions to find strength of steel beams and columns per AISC 360-16.
	# Copyright 2020 - 2023 Ron Kok
	# Released under terms of the MIT License, https://opensource.org/licenses/MIT

	function Ps(section, Fy, kLx, kLy)
	# LRFD axial strength of a steel member, per AISC 360-16 sections B & E
	# section is a dictionary containing section properties of the column
	# Fy is the steel yield stress
	# kLx and kLy are the adjusted unbraced length
	Pcr = criticalAxialStrength(section, Fy, kLx, kLy)
	# Hurmet module for beam diagram creation.
	# function diagram() returns a rendered beam diagram.
	# function shearMaximums() returns a vector containing the maximum and minimum shear values
	# function momentMaximums() returns a vector containing the maximum and minimum bending moment values
	# Copyright 2022 Ron Kok
	# Released under terms of the MIT License, https://opensource.org/licenses/MIT

	function diagram(diagramInput)
	# This function creates a beam diagram.
	# It displays a load diagram, a shear diagram, and a moment diagram.
	#name weight mass A d bf tw tf kdes Ix Zx Sx rx Iy Zy Sy ry J Cw Wno Sw1 Qf Qw rts T WGi
	lbf/ft lbm/ft in² in in in in in in⁴ in³ in³ in in⁴ in³ in³ in in⁴ in⁶ in² in⁴ in³ in³ in in in
	W44X335 335 335 98.5 44.0 15.9 1.03 1.77 2.56 31100 1620 1410 17.8 1200 236 150 3.49 74.7 535000 168 1180 278 805 4.24 38 5.5
	W44X290 290 290 85.4 43.6 15.8 0.865 1.58 2.36 27000 1410 1240 17.8 1040 205 132 3.49 50.9 461000 166 1040 248 701 4.20 38 5.5
	W44X262 262 262 77.2 43.3 15.8 0.785 1.42 2.20 24100 1270 1110 17.7 923 182 117 3.47 37.3 405000 165 928 223 630 4.17 38 5.5
	W44X230 230 230 67.8 42.9 15.8 0.710 1.22 2.01 20800 1100 971 17.5 796 157 101 3.43 24.9 346000 165 793 192 547 4.13 38 5.5
	W40X655 655 655 193 43.6 16.9 1.97 3.54 4.72 56500 3080 2590 17.1 2870 542 340 3.86 589 1150000 169 2530 529 1530 4.71 34 7.5
	W40X593 593 593 174 43.0 16.7 1.79 3.23 4.41 50400 2760 2340 17.0 2520 481 302 3.80 445 997000 166 2240 479 1370 4.63 34 7.5
	W40X503 503 503 148 42.1 16.4 1.54 2.76 3.94 41600 2320 1980 16.8 2040 394 249 3.72
	#name weight mass A d bf tw tf kdes Ix Zx Sx rx Iy Zy Sy ry J Cw Wno Sw1 Qf Qw rts T WGi
	lbf/ft lbm/ft in² in in in in in in⁴ in³ in³ in in⁴ in³ in³ in in⁴ in⁶ in² in⁴ in³ in³ in in in
	M12.5X12.4 12.4 12.4 3.63 12.5 3.75 0.155 0.228 0.563 89.3 16.5 14.2 4.96 2.01 1.68 1.07 0.744 0.0493 76.0 11.5 2.46 2.51 8.06 0.933 11.375 0
	M12.5X11.6 11.6 11.6 3.40 12.5 3.50 0.155 0.211 0.563 80.3 15.0 12.8 4.86 1.51 1.37 0.864 0.667 0.0414 57.1 10.8 1.99 2.17 7.36 0.852 11.375 0
	M12X11.8 11.8 11.8 3.47 12.0 3.07 0.177 0.225 0.563 72.2 14.3 12.0 4.56 1.09 1.15 0.709 0.559 0.0500 37.7 9.04 1.56 1.92 7.02 0.731 10.875 0
	M12X10.8 10.8 10.8 3.18 12.0 3.07 0.160 0.210 0.563 66.7 13.2 11.1 4.58 1.01 1.07 0.661 0.564 0.0393 35.0 9.05 1.46 1.80 6.48 0.732 10.875 0
	M12X10 10.0 10.0 2.95 12.0 3.25 0.149 0.180 0.500 61.7 12.2 10.3 4.57 1.03 1.02 0.636 0.592 0.0292 35.9 9.60 1.40 1.65 5.98 0.768 11 0
	M10X9 9.00 9.00 2.65 10.0 2.69 0.157 0.206 0.563 39.0 9.22 7.79 3.83 0.672 0.809 0.500 0.503 0.0314 16.1 6.59 0.910 1.28 4.52 0.650 8.8
	#name weight mass A d bf tw tf kdes Ix Zx Sx rx Iy Zy Sy ry J Cw Wno Sw1 Qf Qw rts T WGi
	lbf/ft lbm/ft in² in in in in in in⁴ in³ in³ in in⁴ in³ in³ in in⁴ in⁶ in² in⁴ in³ in³ in in in
	HP18X204 204 204 60.2 18.3 18.1 1.13 1.13 2.31 3480 433 380 7.6 1120 191 124 4.31 29.5 82500 77.7 397 82.3 212 5.03 13.5 7.5
	HP18X181 181 181 53.2 18 18 1 1 2.18 3020 379 336 7.53 974 167 108 4.28 20.7 70400 76.5 344 72.3 185 4.96 13.5 7.5
	HP18X157 157 157 46.2 17.7 17.9 0.87 0.87 2.05 2570 327 290 7.46 833 143 93.1 4.25 13.9 59000 75.3 293 62.3 159 4.92 13.5 7.5
	HP18X135 135 135 39.9 17.5 17.8 0.75 0.75 1.93 2200 281 251 7.43 706 122 79.3 4.21 9.12 49500 74.5 249 53.5 136 4.85 13.5 7.5
	HP16X183 183 183 54.1 16.5 16.3 1.13 1.13 2.31 2510 349 304 6.81 818 156 100 3.89 26.9 48300 62.2 285 65.4 169 4.55 11.75 5.5
	HP16X162 162 162 47.7 16.3 16.1 1 1 2.18 2190 306 269 6.78 697 134 86.6 3.82 18.8 40800 61.6 248 57.8 149 4.45 11.75 5.5
	HP16X141 141 141 41.7 16 16 0.875 0.875 2.06 1870 264 234 6.7 599 116 74.9 3.79 12.9 34300 60.5 21
#name	weight	mass	A	d	b	t	y	yp	Ix	Zx	Sx	rx	Iy	Zy	Sy	ry	ro	H
	lbf/ft	lbm/ft	in²	in	in	in	in	in	in⁴	in³	in³	in	in⁴	in³	in³	in	in
2L12X12X1-3/8	210	210	62.2	12.0	12.0	1.38	3.50	1.30	826	176	97.2	3.64	1590	218	133	5.06	6.84	0.831
2L12X12X1-3/8X3/4	210	210	62.2	12.0	12.0	1.38	3.50	1.30	826	176	97.2	3.64	1760	241	142	5.32	7.03	0.840
2L12X12X1-3/8X1-1/2	210	210	62.2	12.0	12.0	1.38	3.50	1.30	826	176	97.2	3.64	1950	264	153	5.60	7.25	0.850
2L12X12X1-1/4	193	193	56.8	12.0	12.0	1.25	3.45	1.18	762	161	89.2	3.66	1440	196	120	5.04	6.84	0.829
2L12X12X1-1/4X3/4	193	193	56.8	12.0	12.0	1.25	3.45	1.18	762	161	89.2	3.66	1590	217	128	5.29	7.03	0.839
2L12X12X1-1/4X1-1/2	193	193	56.8	12.0	12.0	1.25	3.45	1.18	762	161	89.2	3.66	1760	239	138	5.57	7.24	0.848
2L12X12X1-1/8	174	174	51.6	12.0	12.0	1.13	3.41	1.08	700	147	81.4	3.68	1300	176	108	5.02	6.85	0.827
2L12X12X1-1/8X3/4	174	174	51.6	12.0	12.0	1.13	3.41	1.08	700	147	81.4	3.68	1440	195	116	5.28	7.04	0.837