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گزینه ۱
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PROJECT : PAGE :
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CLIENT :
DESIGN BY :
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JOB NO. : DATE :
REVIEW BY :
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Corner Bracing Connection Capacity Based on AISC Manual 13th Edition (AISC 360-05)
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DESIGN CRITERIA
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For a new TYPICAL detail of bracing connection or existing bracing connection, the interface dimensions of a and b may
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not satisfy the basic relationship of the original Uniform Force Method: a - b tanq = eb tanq - ec. This software can determine corner
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gusset dimensions based on geometry and can check the gusset interface weld capacities with moment loads.
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INPUT DATA & DESIGN SUMMARY
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BRACE AXIAL LOAD AT SERVICE LEVEL
T =305kips
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ANGLE BETWEEN BRACE & COLUMN
q =250
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ANGLE BTW BRACE & GUSSET EDGE
f =200
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BRACE SECTION (Tube or Pipe)
= >
HSS4x4x1/4
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TubeArminth
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16,402,980,638,00
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COLUMN SECTION
= >
W16X67
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ORIENTATION =
x-x, ec =6,35in
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BEAM SECTION
= >
HSS10X6X1/4
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ORIENTATION =
x-x, eb =8,15in
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THE CONNECTION DESIGN IS ADEQUATE.
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( 1 1/4" Gusset Plate with 5/8" Fillet Weld, 4 leg x 7" Length at Brace,
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and 2 leg x 27" at Column Interface, 2 leg x 15" at Beam Interface. )
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ANALYSIS
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DETERMINE BEST FILLET WELD SIZE PER BRACE THICKNESS (AISC 360-05 J2.2b)
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w =0,625in>wMIN =0,25in
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( USE w =
0,625in )<
wMAX = (f 0.6 Fu t) / (f 0.707 FEXX) = (0.75 x 0.6 x 58 ksi) t / (0.75 x 0.707 x 70 ksi)
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5/8
[Satisfactory]
= 1.1795 t =
0,74in
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DETERMINE REQUIRED WELD LENGTH AT BRACE (AISC 360-05 J2.4 )
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L = W T / [(4) (0.6) FEXX (0.707 w)]
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= (2.0) (250.00) / [(4) (0.6) (70) (0.707 x 5/8)] =
6,74in
( USE L =
7,00in )
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DETERMINE REQUIRED THICKNESS OF GUSSET PLATE PER Tt,rup,brace ABOVE (AISC 360-05 Tab. J2.4)
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tg = 1 1/4in
( USE tg =
1 1/4 in )
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DETERMINE GUSSET DIMENSIONS BASED ON GEOMETRY
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Lg = 22,9in2 b =26,6in2 a =14,5in
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DETERMINE CONNECTION INTERFACE FORCES ( AISC Manual 13th Edition, Page 13-10)
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b =13,28in
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a =7,25in>
(eb + b) tanq - ec =
3,64in
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[The original Uniform Force Method may not apply]
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K = eb tanq - ec =
-2,55in
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D = tan2q + (a / b)2 =
0,5151847934
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K' = a ( tanq + a / b) =
7,332153399
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aIdeal = (K' tanq + K (a / b)2 ) / D =
5,16in
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bIdeal = (aIdeal - K) / tanq =
16,54in
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r = [(eb + bIdeal)2 + (ec + aIdeal)2] 0.5 =
27,24in
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Vc = (bIdeal / r) T =
151,8kips
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Hc = (ec / r) T =
58,3kips
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Mc = Hc [ bIdeal - b ] =
15,8ft-kips
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Vb = (eb / r) T =
74,8kips
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Hb = (aIdeal / r) T =
47,4kips
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Mb = Vb [ aIdeal - a ] =
-13,0ft-kips
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CHECK WELD CAPACITY AT INTERFACES (AISC 360-05 J2.4 )
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fVc = Vc / (4 b 0.707 w) =
6,47ksi
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(cont'd)
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fHc = Hc / (4 b 0.707 w) =
2,48ksi
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fMc = 3 Mc / (4 b2 0.707 w) =
1,83ksi
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fVb = Vb / (4 a 0.707 w) =
5,84ksi
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fHb = Hb / (4 a 0.707 w) =
3,70ksi
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fMb = 3 Mb / (4 a2 0.707 w) =
5,04ksi
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W =2,0
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fv,c = [(fvc)2 + (fHc+ fMc)2] 0.5 =
7,77ksi<
0.6 FEXX / W =
21,00ksi
[Satisfactory]
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fv,b = [(fvb)2 + (fHb + fMb)2] 0.5 =
10,51ksi<
0.6 FEXX / W =
21,00ksi
[Satisfactory]
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CHECK SHEAR RUPTURE CAPACITY OF SLOTTED BRACE (AISC 360-05 J4.2)
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Rn,rup,brace/ W =(0.6Fu)Anu / W =
304,5kips>T
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[Satisfactory]
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Where Fu =58
ksi ( AISC Manual 13th Edition, Pg. 2-39)
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Anu =
4 t L = 4 x 0.625 x 7 =
17,50in2
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W =2,0
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CHECK SHEAR RUPTURE CAPACITY OF GUSSET PLATE (AISC 360-05 J4.2)
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Rn,rup,gusset/ W = (0.6Fu)Anv / W =
304,5kips>T
[Satisfactory]
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Where Fu =58
ksi (A36 Steel)
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Anv =
2 tg L = 2 x 1.25 x 7 =
17,50in2
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W =2,0
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CHECK TENSION CAPACITY AT SLOTTED BRACE (AISC 360-05 J4.1)
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Rt Rn/ W = Rt Fu Ae/ W =
316,28kips>T
[Satisfactory]
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Where W =2
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Fu =58
ksi ( AISC Manual 13th Edition, Pg. 2-335)
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x =3 h / 8 =3,00
, for Tube (HSS Specification 2.1-4)
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D / p =2,55
, for Pipe (HSS Specification 2.1-3)
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U =
MIN( 1 - x / L , 0.9 ) =
0,57
,(AISC Tab D3.1)
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An =
Ag - 2 (tg + 1/8) t =
14,68in2
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Ae =U An =8,39in2