TablesC-C design for stability

General Analysis Requirements

PDF page 405 · AISC 360-22

4 tables appear under this heading.

1. PDF page 405

Axial Force, P (kips)	0	150	300	450
M_mid (kip-in.)	235 [235]	270 [269]	316 [313]	380 [375]
Δ_mid (in.)	0.202 [0.197]	0.230 [0.224]	0.269 [0.261]	0.322 [0.311]

2. PDF page 405

Axial Force, P×10^-3 (N)	0	667	1,330	2,000
M_mid×10^-6 (N-mm)	26.6 [26.6]	30.5 [30.4]	35.7 [35.4]	42.9 [42.4]
Δ_mid (mm)	5.13 [5.00]	5.84 [5.69]	6.83 [6.63]	8.18 [7.90]

3. PDF page 405

Axial Force, P (kips)	0	100	150	200
M_base (kip-in.)	336 [336]	470 [469]	601 [598]	856 [848]
Δ_tip (in.)	0.907 [0.901]	1.34 [1.33]	1.77 [1.75]	2.60 [2.56]

Axial Force, P×10^-3 (N)	0	445	667	890
M_base×10^-6 (N-mm)	38.0 [38.0]	53.1 [53.0]	67.9 [67.6]	96.7 [95.8]
Δ_tip (mm)	23.0 [22.9]	34.0 [33.8]	45.0 [44.5]	66.0 [65.0]

4. PDF page 407

P_u = 440 kips (1.96×10⁶ N)		P_u/P_y = 0.50, τ = 1.0
H = H_u + N_i = 1.45 kips + 0.002(440 kips) = 2.33 kips (10 400 N)		E = 0.80τ(29,000 ksi) = 23,200 ksi (160 000 MPa)
		G = E/2(1+ν) = 8,920 ksi (61 500 MPa)
		<ins>Computational P-Δ and P-δ analysis:</ins>
		Δ_2nd = 2.22 in. (56.4 mm)
15.0 ft (4.6 m)		M_u = 1,390 kip-in. (157×10⁶ N-mm)
	Major-axis bending Fully braced out-of-plane W10×60 (W250×89) F_y = 50 ksi (345 MPa) Include axial, flexural, and shear deformations	P_u/φ_cP_n + (8/9)(M_u/φ_bM_n) = 1.00
		<ins>Single-element P-Δ analysis:</ins>
		Δ_1st = 0.580 in. (15 mm)
		M_1st = HL = 419 kip-in. (47.3×10⁶ N-mm)
		1 / [1-[P_u/(HL/Δ_1st)]] = 2.55
		M^P-Δ = 2.55M_1st = 1,070 kip-in. (121×10⁶ N-mm)
		P_u/φ_cP_n + (8/9)(M^P-Δ/φ_bM_n) = 0.910

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CALCULATION OF REQUIRED STRENGTHS

General stability requirements

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