2 5 decimal

&[DATE] &[TIME] - &[FILENAME] - &[PAGENUM] / &[COUNT]

DESIGN OF DOUBLY AND SINGLY SYMMETRIC

Proj. No.: 12156

Date: 10-23-12

MEMBERS SUBJECT TO FLEXURE AND AXIAL FORCE

Engr: BMS

AISC 14TH EDITION - LRFD

MEMBER ID:

W8x24

Section Properties

Ag 7.08 in 2^* :

Sx 20.9 in 3^* :

Iy 18.3 in 4^* :

h.0 7.73 in * :

Fy 50 ksi * :

Cb 1.0 :

Sy 5.63 in 3^* :

b.f 6.5 in * :

rx 3.42 in * :

J 0.346 in 4^* :

E 29000 ksi * :

c 1 :

Zx 23.1 in 3^* :

ry 1.61 in * :

Φ.c 0.9 :

t.f 0.4 in * :

Cw 259 in 6^* :

Zy 8.57 in 3^* :

Φ.b 0.9 :

F2 - DOUBLY SYMMETRIC COMPACT I-SHAPED MEMBERS AND CHANNELS BENT ABOUT THEIR MAJOR AXIS

r.ts Iy Cw * sqrt Sx / sqrt :

r.ts in 1.81

(F2-7)

(F2-6)

Lr 1.95 r.ts * E 0.7 Fy * / * J c * Sx h.0 * / J c * Sx h.0 * / (2^6.76 0.7 Fy * E / (2^* + sqrt + sqrt * :

(F2-6)

Lp 1.76 ry * E Fy / sqrt * :

(F2-5)

Input unbraced Length:

Lb 13.167 ft * :

Lp ft 5.69

Lr ft 18.84

F.cr Cb π 2^* E * Lb r.ts / (2^/ 1 0.078 J c * Sx h.0 * / (* Lb r.ts / (2^* + sqrt * :

(F2-4)

Mp Fy Zx * :

(F2-1)

Mp kip ft * 96.25

F.cr ksi 56.85

Lb Lp < Mnx Mp : Lb Lr ≤ Mnx Cb Mp Mp 0.7 Fy * Sx * - (Lb Lp - Lr Lp - / (* - (* : Mnx F.cr Sx * : if if

1.) YIELDING

(F2-1)

2.) LATERAL-TORSIONAL BUCKLING

(b) When Lp< Lb ≤Lr

(F2-2)

(c) When Lb > Lr

(F2-3)

Φ.b Mnx * kip ft * 68.56

F6 - DOUBLY SYMMETRIC COMPACT I-SHAPED MEMBERS AND CHANNELS BENT ABOUT THEIR MINOR AXIS

b b.f 2 / :

λ b t.f / :

λ.r 1.0 E Fy / sqrt * :

λ.p 0.38 E Fy / sqrt * :

b in 3.25

λ 8.12

λ.r 24.08

λ.p 9.15

λ λ.p < ratio 1 : λ.p λ < λ.r < ratio 2 : ratio 3 : if if

F.cr 0.69 E * b.f 2 t.f * / (2^/ :

(F6-4)

Mp Fy Zy * 1.6 Fy * Sy * ≤ Fy Zy * 1.6 Fy * Sy * if :

(F6-1)

Mp kip ft * 35.71

F.cr ksi 303.11

ratio 1

ratio 1 : Mny Mp : ratio 2 : Mny Mp Mp 0.7 Fy * Sy * - (λ λ.p - λ.r λ.p - / (* - (: Mny F.cr Sy * : if if

1.) YIELDING

(F6-1)

2.) LATERAL-TORSIONAL BUCKLING

(F6-3)

(b) When flange is noncompact

(c) When flange is slender

(F6-2)

Φ.b Mny * kip ft * 32.14

E3 - COMPRESSIVE STRENGTH FOR FLEXURAL BUCKLING OF MEMEBERS WITHOUT SLENDER ELEMENTS

Input Unbaced Lengths:

Lx Lb :

Ly Lb :

Input Slenderness Factors:

Kx 2.1 :

Ky 2.1 :

λ.y Ky Ly * ry / :

λ.x Kx Lx * rx / :

λ.r 4.71 E Fy / sqrt * :

λ.y 206.09

λ.x 97.02

λ.r 113.43

λ λ.x λ.y > λ.x λ.y if :

λ 206.09

Fe π 2^E * λ (2^/ :

Fe ksi 6.74

(E3-4)

F.cr λ λ.r ≤ 0.658 Fy Fe /^(Fy * 0.877 Fe * if :

(E3-2)

(E3-3)

F.cr ksi 5.91

Pn Ag F.cr * :

(E2-1)

Φ.c Pn * kip 37.66

H1. DOUBLY AND SINGLY SYMMETRIC MEMEBERS SUBJECT TO FLEXURE AND AXIAL FORCE

Factored Member Forces:

Pu 5.06 kip * :

Mux 10.93 kip * ft * :

Muy 12.97 kip * ft * :

Combined Stress Ratios neglecting frame action:

Pu Φ.c Pn * / 0.13

Mux Φ.b Mnx * / 0.16

Muy Φ.b Mny * / 0.4

Pu Φ.c Pn * /

R1 Pu Φ.c Pn * / 89 / Mux Φ.b Mnx * / Muy Φ.b Mny * / + (* + :

R1 0.63

>= 0.2

(H1-1a)

Pu Φ.b Pn * /

R2 Pu 2 Φ.c * Pn * / Mux Φ.b Mnx * / Muy Φ.b Mny * / + (+ :

< 0.2

R2 0.63

(H1-1b)

RATIO Pu Φ.c Pn * / 0.2 < R2 R1 if :

COMBINED STRESS RATIO for normal Beam-Column:

RATIO 0.63

≤ 1.0