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Guide to Hurmet macros for civil and structural engineers

To have these macros available in Hurmet.app, copy this text into a Hurmet calculation zone

macros = import("https://gist.githubusercontent.com/ronkok/317f8ce0f706608fa9b3e3258ecea138/raw/csMacros.txt") = !

Then, write a macro name, place the selection point after the name, and hit Alt-E.

ab

Mnemonic: Area of Bolt\

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# Hurmet macros for civil and structural engineers

ab = """¢` A_b = (π d_b^2) / 4 = ?? in² `, bolt area"""


asc = """Find required reinforcing steel, ¢` A_sMin `

¢` x_c = (0.85 f_c′ b d) / f_yr = ?? in² `, parameter for next line of calculation

¢` A_1 = x_c - √(x_c² - (2 x_c M_u) / (0.9 d f_yr)) = ?? in² `, from CRSI Report 22

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# Three Hurmet functions for numerically finding roots of equations.

# First, bisection. The first argument is the function, f.
# Select a and b such that f(a) and f(b) have opposite signs.
# The optional argument ε enables you to define a desired precision.

function bisection(f, a, b; ε = 1e-15)
    fa = f(a)
    fb = f(b)
    if fa × fb > 0 throw "Error. Invalid starting bracket."

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# ConcreteColumnInteraction
#
# By Ron Kok. Copyright 2023.
# Released under terms of the MIT license, https://mit-license.org/
#
# This is a Hurmet module that draws a concrete column interaction diagram
# for recangular columns per ACI 318.
# The first input, `column`, must be a single-row dataframe, like this example:
#
# column = 

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#name	weight	mass	A	d	bf	tw	tf	kdes	y	yp	Ix	Zx	Sx	rx	Iy	Zy	Sy	ry	J	Cw	ro	H	WGi
  	lbf/ft	lbm/ft	in²	in	in	in	in	in	in	in	in⁴	in³	in³	in	in⁴	in³	in³	in	in⁴	in⁶	in		in
WT22X167.5	167.5	167.5	49.2	22	15.9	1.03	1.77	2.56	5.53	1.54	2170	234	131	6.63	600	118	75.2	3.49	37.2	438	8.82	0.723	5.5
WT22X145	145	145	42.6	21.8	15.8	0.865	1.58	2.36	5.26	1.35	1830	196	111	6.54	521	102	65.9	3.49	25.4	275	8.66	0.733	5.5
WT22X131	131	131	38.5	21.7	15.8	0.785	1.42	2.2	5.19	1.22	1640	176	99.4	6.53	462	90.9	58.6	3.47	18.6	200	8.64	0.731	5.5
WT22X115	115	115	33.9	21.5	15.8	0.71	1.22	2.01	5.17	1.07	1440	157	88.6	6.53	398	78.3	50.5	3.43	12.4	139	8.67	0.723	5.5
WT20X327.5	327.5	327.5	96.4	21.8	16.9	1.97	3.54	4.72	5.85	2.85	3730	426	234	6.22	1440	271	170	3.86	293	3190	8.38	0.763	7.5
WT20X296.5	296.5	296.5	87.2	21.5	16.7	1.79	3.23	4.41	5.66	2.61	3310	379	209	6.16	1260	240	151	3.8	221	2340	8.29	0.762	7.5
WT20X251.5	251.5	251.5	74	21	16.4	1.54	2.76	3.94	5.38	2.25	2730	314	174	6.07	1020	197	124	3.72	138	1400	8.17	0.76	7.5
WT20X215.5	215.5	2

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#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