fixed bolted joint

12
PROJECT : PAGE : CLIENT : DESIGN BY : JOB NO. : DATE : REVIEW BY : Fixed 8-Bolted Joint, with Beam Sitting on Top of Column, Based on AISC 358-10 8ES & FEMA DESIGN CRITERIA THE FIXED MOMENT CONNECTION HAS BEEN CHECKED BY PREQUALIFIED CONNECTION 8ES FOR CAPACITY AND DEFORMATION. BECAUSE THIS IS NON-SEISMIC CONNECTION , THE BEAM & COLUMN SECTION LIMITS AND BEAM-COLUMN RATIO REQUIREMENT HAVE BEEN RELEASED. THE BENDING MOMENT AT THE BEAM BOTTOM FACE IS FROM ACTUAL COLUMN END FORCE, NOT FROM THE COLUMN SECTION CAPACITY. INPUT DATA & DESIGN SUMMARY BENDING MOMENT AT THE JOINT FACE 1086.75 ft-kips, SD level STRUCTURAL STEEL YIELD STRESS 50 ksi THE FACTOR AXIAL LOAD ON THE COLUMN 800 kips THE FACTOR SHEAR LOAD AT THE JOINT FACE 76.5 kips BEAM LENGTH BETWEEN COL. CENTERS L = 38.73 ft AVERAGE STORY HEIGHT OF ABOVE & BELOW h = 15 ft BOLTS 1 7/8 in GRADES (A325 or A490) A490 PLATE & SHIM 1 1/2 in NUMBER COLUMN 1 (Bottom Only) NUMBER BEAM 1 (One Side Only) COLUMN SECTION = > W18X158 A d k 46.3 19.7 0.81 11.30 1.44 310 3060 8.13 2.74 356 1.84 BEAM SECTION = > W24X162 A d k 47.7 25.0 0.71 13.00 1.22 414 5170 10.41 3.05 468 1.72 THE DESIGN IS ADEQUATE. 2 x 12 with 7/16" fillet weld to web & CP to flanges. A doubler plate is not required. 4 rows @ equal o.c. between flanges. ) ANALYSIS 6.00 in 5.44 in 2.00 in (AISC 358 Tab 6.1) 11.63 in 29.94 in < [Satisfactory] 4.18 CHECK BEAM LOCAL BUCKLING LIMITATIONS (AISC 341-10 Tab. D1.1) 5.33 < 7.22 [Satisfactory] Where 29000 ksi 30.58 < 59.00 [Satisfactory] CHECK COLUMN LOCAL BUCKING LIMITATIONS (AISC 341-10 Tab. D1.1) 3.92 < 7.22 [Satisfactory] 19.78 < N/A 52.49 [Satisfactory] Where 0.9 2315 kips CHECK BEAM - COLUMN RATIO REQUIREMENT (AISC 341-10 Sec. E3.4a) 0.50 < 1.00 [Non-seismic, Not Apply] Where 971 ft-kips 1950 ft-kips CHECK BENDING MOMENT AT THE JOINT FACE (FEMA Sec. 3.6.1.1.2 & AISC 360-10 J3) = 1087 ft-kips < 1457 ft-kips [Satisfactory] < 1458 ft-kips [Satisfactory] Where 20.98 in 148 kips, (AISC 360- 9.92 in 1.47 714.184 kips 0.75 , (AISC 360-10, 166.4 kips, (FEMA Sec. 3.6.1.1 & 3.6.2.1.2) > [Satisfactory] CHECK SHEAR CAPACITY AT THE JOINT FACE (FEMA Sec. 3.6.1.1.3& AISC 360-10 J3) 1.47 > 0.91 [Satisfactory] Mf = Fy = Pu = Vu = f = tp = Nc = Nb = tw bf tf Sx Ix rx ry Zx tw bf tf Sx Ix rx ry Zx g =Max( bbf - f , tw + 3 f ) = c = 2 Pf + tbf = Pb = 3 f = Pf = 1.5 f = bp = g + 3 f = Pc = Sh = dc / 2 + tp + 1" + (2Pf + Pb - 1") tan -1 3 bcf de = bf / (2tf ) = 0.3 (Es / Fy) 0.5 = Es = h / tw = 2.45 (Es / Fy) 0.5 = bf / (2tf ) = 0.3 (Es / Fy) 0.5 = h / tw = 3.76(Es/Fy) 0.5 (1-2.75Pu/fbPy) = , for Pu/fbPy ≤ 0.125 1.12(Es/Fy) 0.5 (2.33-Pu/fbPy) = , for Pu/fbPy > 0.125 fb = , Py = FyA = SMpc* / (SMpb* ) = SMpc* = Nc Zc (Fyc - Pu / Ag ) = SMpb* = Nb Zb Fyb = Mf , input value for non-seismic 3.4 Tub (d0 + di ) = f 8 Tb dc = d0 = dc + Pf - 0.5 tcf = Tb = di = d0 - c - Pb = Abt = in 2 / bolt Ffu = Mf / ( dc - tcf ) = f = Tub = (0.00002305 Pf 0.591 Ffu 2.583 / (tp 0.895 dbt 1.909 tcw 0.327 bp 0.965 ) + Tb = Ab = in 2 [2 Mf / (H - db) + Vu ] / 6Fv =

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FixedBoltedJoint

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Page 1: Fixed Bolted Joint

PROJECT : PAGE :

CLIENT : DESIGN BY :

JOB NO. : DATE : REVIEW BY :

Fixed 8-Bolted Joint, with Beam Sitting on Top of Column, Based on AISC 358-10 8ES & FEMA-350

DESIGN CRITERIATHE FIXED MOMENT CONNECTION HAS BEEN CHECKED BY PREQUALIFIEDCONNECTION 8ES FOR CAPACITY AND DEFORMATION. BECAUSE THIS ISNON-SEISMIC CONNECTION , THE BEAM & COLUMN SECTION LIMITS ANDBEAM-COLUMN RATIO REQUIREMENT HAVE BEEN RELEASED. THE BENDINGMOMENT AT THE BEAM BOTTOM FACE IS FROM ACTUAL COLUMN ENDFORCE, NOT FROM THE COLUMN SECTION CAPACITY.

INPUT DATA & DESIGN SUMMARY

BENDING MOMENT AT THE JOINT FACE 1086.75 ft-kips, SD level

STRUCTURAL STEEL YIELD STRESS 50 ksi

THE FACTOR AXIAL LOAD ON THE COLUMN 800 kips

THE FACTOR SHEAR LOAD AT THE JOINT FACE 76.5 kipsBEAM LENGTH BETWEEN COL. CENTERS L = 38.73 ftAVERAGE STORY HEIGHT OF ABOVE & BELOW h = 15 ftBOLTS 1 7/8 inGRADES (A325 or A490) A490

PLATE & SHIM 1 1/2 in

NUMBER COLUMN 1 (Bottom Only)

NUMBER BEAM 1 (One Side Only)

COLUMN SECTION = > W18X158

A d k46.3 19.7 0.81 11.30 1.44 310 3060 8.13 2.74 356 1.84

BEAM SECTION = > W24X162

A d k47.7 25.0 0.71 13.00 1.22 414 5170 10.41 3.05 468 1.72

THE DESIGN IS ADEQUATE.(Continuity column stiffeners 1-1/2 x 12 with 7/16" fillet weld to web & CP to flanges. A doubler plate is not required. 4 rows @ equal o.c. between flanges. )

ANALYSIS

6.00 in 5.44 in 5.63 in,

2.00 in (AISC 358 Tab 6.1) 11.63 in 3.36 in,

29.94 in < [Satisfactory] 4.18 in

CHECK BEAM LOCAL BUCKLING LIMITATIONS (AISC 341-10 Tab. D1.1)

5.33 < 7.22 [Satisfactory]

Where 29000 ksi

30.58 < 59.00 [Satisfactory]CHECK COLUMN LOCAL BUCKING LIMITATIONS (AISC 341-10 Tab. D1.1)

3.92 < 7.22 [Satisfactory]

19.78 <N/A

52.49

[Satisfactory] Where 0.9 2315 kips

CHECK BEAM - COLUMN RATIO REQUIREMENT (AISC 341-10 Sec. E3.4a)

0.50 < 1.00 [Non-seismic, Not Apply]

Where 971 ft-kips

1950 ft-kips

CHECK BENDING MOMENT AT THE JOINT FACE (FEMA Sec. 3.6.1.1.2 & AISC 360-10 J3)

= 1087 ft-kips

< 1457 ft-kips [Satisfactory]

< 1458 ft-kips [Satisfactory]

Where 20.98 in 148 kips, (AISC 360-10, Tab. J3.1)

9.92 in 1.47

714.184 kips 0.75 , (AISC 360-10, J3.6)

166.4 kips, (FEMA Sec. 3.6.1.1 & 3.6.2.1.2)

> 165.2 kips[Satisfactory]

CHECK SHEAR CAPACITY AT THE JOINT FACE (FEMA Sec. 3.6.1.1.3& AISC 360-10 J3)

1.47 > 0.91 [Satisfactory]

Mf =

Fy =

Pu =

Vu =

f =

tp =

Nc =

Nb =

tw bf tf Sx Ix rx ry Zx

tw bf tf Sx Ix rx ry Zx

g =Max( bbf - f , tw + 3 f ) = c = 2 Pf + tbf = Pb = 3 f =

Pf = 1.5 f = bp = g + 3 f = Pc =

Sh = dc / 2 + tp + 1" + (2Pf + Pb - 1") tan-1 30o = bcf de =

bf / (2tf ) = 0.3 (Es / Fy)0.5 =

Es =

h / tw = 2.45 (Es / Fy)0.5 =

bf / (2tf ) = 0.3 (Es / Fy)0.5 =

h / tw =3.76(Es/Fy)0.5(1-2.75Pu/fbPy) = , for Pu/fbPy ≤ 0.125

1.12(Es/Fy)0.5(2.33-Pu/fbPy) = , for Pu/fbPy > 0.125

fb = , Py = FyA =

SMpc* / (SMpb* ) =

SMpc* = Nc Zc (Fyc - Pu / Ag ) =

SMpb* = Nb Zb Fyb =

Mf , input value for non-seismic

3.4 Tub (d0 + di ) =

f 8 Tb dc =

d0 = dc + Pf - 0.5 tcf = Tb =

di = d0 - c - Pb = Abt = in2 / bolt

Ffu = Mf / ( dc - tcf ) = f =

Tub =

(0.00002305 Pf0.591 Ffu

2.583 / (tp0.895 dbt1.909 tcw

0.327 bp0.965) + Tb =

Ab = in2 [2 Mf / (H - db) + Vu ] / 6Fv =

Page 2: Fixed Bolted Joint

Where 45 ksi, (AISC 360-10, Tab. J3.2)Fv = f Fnv =

Page 3: Fixed Bolted Joint

(Cont'd)

CHECK END PLATE THICKNESS (AISC 358-10 Eq 6.10-13)

1.50 > 1.17 [Satisfactory]

Where 293 in, (AISC 358-10 Tab. 6.4 Case 1)

36 ksi 1.0

CHECK CONTINUITY PLATE REQUIREMENT (AISC 358-10 Eq 6.10-13, FEMA Sec 3.3.3.1)

0.38 in <

Where 1990 in, (AISC 358-10 Tab. 6.5 Stiffened)

0.97 in >(The continuity plates required.)

1.44 in, USE 1.50 in, ( 1-1/2 in )

12 in < 23.84 in, (AISC 358-10 Eq 6.10-10)[Satisfactory]

1568.7 kips

Where 0.9 ,(AISC 360 E1) 16.02 in

K = 0.75 (AISC 360 E2) [Satisfactory]

1885 77168 ksi (AISC 360 E3)

48 35.99 ksi (AISC 360 E3)

6.24 in 36 kips, plate yield stress

895.0 kips < [Satisfactory]

Where 1.1 (AISC 341-10 Tab. A3.1)

The best fillet weld size (AISC 360 Sec.J2.2b)

w = 7/16 in0.25 in

0.5625 in

[Satisfactory]

The required weld length between A36 continuity plates and column web (FEMA Fig 3-6)

= (1.5 x 18.6) x 36 / [(2) 0.75 (0.6x70)(0.707x7/16)] = 23.50 in

Where 18.6 < [Satisfactory]

(Use complete joint penetration groove welds between continuity plates & column flanges.)

CHECK PANEL ZONE THICKNESS REQUIREMENT (AISC 341 Sec. E3.6e & FEMA Sec. 3.3.3.2)

0.61 in

0.61 in

Where 0.79

311

3060

971 ft-kips

1.1 (FEMA Sec. 3.5.5.1)

0.43 in

0.71 in

>not required.

Technical References: 1. AISC 341-10: "Seismic Provisions for Structural Steel Buildings", American Institute of Steel Construction, 2010. 2. AISC 358-10: "Prequalified Connections for Special and Intermediate Steel Moment Frames for Seismic Applications",

American Institute of Steel Construction, 2010. 3. AISC 360-10: "Specification for Structural Steel Buildings", American Institute of Steel Construction, 2010. 4. FEMA 350: "Recommended Seismic Design Criteria for New Steel Moment-frame Buildings.", SAC Joint Venture, 2000.

tp = in [1.11 Mf / fd Fyp Yp)]0.5 = in

Yp =

Fyp = fd =

tbf, reqD = [1.11 Mf / fd Fyb Yb)]0.5 = tbf, actual

Yb =

tbw, reqD = Mf / [( dc - tcf )( 6 kb + 2 tp + tcf) Fyb] = tbw, actual

tst = tcf for interior connection, or (tcf /2) for exterior connection =

bst = 0.56 (E / Fyst )0.5 tst =

fcPn,st = fcFcr A =

fc = hst = dc - 2kc =

K hst / rst < 200

I = tst (2bst + twb) 3 / 12 = in4 Fe =

A = 2bsttst + 25(twb) 2 = in2 Fcr =

rst = ( I / A )0.5 = Fyst =

Pu,st = Ryc Fyc bfc tfc = fcPn,st

Ry =

> wMIN =

< wMAX =

Lw = 0.6tstLnstFy / [(2) f Fw (0.707 w)]

Lnet = db - 2(kb + 1.5) = 2(Lnet -0.5)

tReqD = MAX (t1, t2) =

t1 = Cy Mb (h - dc ) / [0.9 (0.6) Fyb Ryb db (dc - tfc) h] =

Cy = Sb / (Cpr Zhing) =

Sc = 2Ic / dc = in2

Ic = Ix = in4

Mb = SMpc* =

Cpr =

t2 = (dz + wz ) / 90 = (dc -2tst + db - 2kb) / 90 =

Since twb =

tReqD , a doubler plate is

Page 4: Fixed Bolted Joint

PROJECT : PAGE :

CLIENT : DESIGN BY :

JOB NO. : DATE : REVIEW BY :

Fixed 4-Bolted Joint, with Beam Sitting on Top of Column, Based on AISC 358-10 4ES & FEMA-350

DESIGN CRITERIATHE FIXED MOMENT CONNECTION HAS BEEN CHECKED BY PREQUALIFIEDCONNECTION 4ES FOR CAPACITY AND DEFORMATION. BECAUSE THIS ISNON-SEISMIC CONNECTION , THE BEAM & COLUMN SECTION LIMITS ANDBEAM-COLUMN RATIO REQUIREMENT HAVE BEEN RELEASED. THE BENDINGMOMENT AT THE BEAM BOTTOM FACE IS FROM ACTUAL COLUMN ENDFORCE, NOT FROM THE COLUMN SECTION CAPACITY.

INPUT DATA & DESIGN SUMMARY

BENDING MOMENT AT THE JOINT FACE 285 ft-kips, SD level

STRUCTURAL STEEL YIELD STRESS 50 ksi

THE FACTOR AXIAL LOAD ON THE COLUMN 800 kips

THE FACTOR SHEAR LOAD AT THE JOINT FACE 76.5 kipsBEAM LENGTH BETWEEN COL. CENTERS L = 38.73 ftAVERAGE STORY HEIGHT OF ABOVE & BELOW h = 15 ftBOLTS 1 3/4 inGRADES (A325 or A490) A490

PLATE & SHIM 2 1/4 in

NUMBER COLUMN 1 (Bottom Only)

NUMBER BEAM 1 (One Side Only)

COLUMN SECTION = > W18X158

A d k46.3 19.7 0.81 11.30 1.44 310 3060 8.13 2.74 356 1.84

BEAM SECTION = > W24X162

A d k47.7 25.0 0.71 13.00 1.22 414 5170 10.41 3.05 468 1.72

THE DESIGN IS ADEQUATE.(Continuity column stiffeners 1-1/2 x 12 with 7/16" fillet weld to web & CP to flanges. A doubler plate is not required. )

ANALYSIS

6.00 in 5.44 in 4.11 in

2.00 in (AISC 358 Tab 6.1) 11.25 in

20.95 in < [Satisfactory]

CHECK BEAM LOCAL BUCKLING LIMITATIONS (AISC 341-10 Tab. D1.1)

5.33 < 7.22 [Satisfactory]

Where 29000 ksi

30.58 < 59.00 [Satisfactory]CHECK COLUMN LOCAL BUCKING LIMITATIONS (AISC 341-10 Tab. D1.1)

3.92 < 7.22 [Satisfactory]

19.78 <N/A

52.49

[Satisfactory] Where 0.9 2315 kips

CHECK BEAM - COLUMN RATIO REQUIREMENT (AISC 341-10 Sec. E3.4a)

0.50 < 1.00 [Non-seismic, Not Apply]

Where 971 ft-kips

1950 ft-kips

CHECK BENDING MOMENT AT THE JOINT FACE (FEMA Sec. 3.6.1.1.2 & AISC 360-10 J3)

= 285 ft-kips

< 945 ft-kips [Satisfactory]

< 729 ft-kips [Satisfactory]

Where 20.98 in 148 kips, (AISC 360-10, Tab. J3.1)

15.54 in 1.37

187.295 kips 0.75 , (AISC 360-10, J3.6)

155.3 kips, (FEMA Sec. 3.6.1.1 & 3.6.2.1.2)

> 148.4 kips[Satisfactory]

CHECK SHEAR CAPACITY AT THE JOINT FACE (FEMA Sec. 3.6.1.1.3& AISC 360-10 J3)

1.37 > 0.89 [Satisfactory]

Mf =

Fy =

Pu =

Vu =

f =

tp =

Nc =

Nb =

tw bf tf Sx Ix rx ry Zx

tw bf tf Sx Ix rx ry Zx

g =Max( bbf - f , tw + 3 f ) = c = 2 Pf + tbf = de =

Pf = 1.5 f = bp = g + 3 f =

Sh = dc / 2 + tp + 1" + (2Pf - 1") tan-1 30o = bcf

bf / (2tf ) = 0.3 (Es / Fy)0.5 =

Es =

h / tw = 2.45 (Es / Fy)0.5 =

bf / (2tf ) = 0.3 (Es / Fy)0.5 =

h / tw =3.76(Es/Fy)0.5(1-2.75Pu/fbPy) = , for Pu/fbPy ≤ 0.125

1.12(Es/Fy)0.5(2.33-Pu/fbPy) = , for Pu/fbPy > 0.125

fb = , Py = FyA =

SMpc* / (SMpb* ) =

SMpc* = Nc Zc (Fyc - Pu / Ag ) =

SMpb* = Nb Zb Fyb =

Mf , input value for non-seismic

2 Tub (d0 + di ) =

f 4 Tb dc =

d0 = dc + Pf - 0.5 tcf = Tb =

di = d0 - c = Abt = in2 / bolt

Ffu = Mf / ( dc - tcf ) = f =

Tub =

(0.00002305 Pf0.591 Ffu

2.583 / (tp0.895 dbt1.909 tcw

0.327 bp0.965) + Tb =

Ab = in2 [2 Mf / (H - db) + Vu ] / 3Fv =

Page 5: Fixed Bolted Joint

Where 45 ksi, (AISC 360-10, Tab. J3.2)Fv = f Fnv =

Page 6: Fixed Bolted Joint

(Cont'd)

CHECK END PLATE THICKNESS (AISC 358-10 Eq 6.10-13)

2.25 > 0.26 [Satisfactory]

Where 1506 in, (AISC 358-10 Tab. 6.3 Case 1)

36 ksi 1.0

CHECK CONTINUITY PLATE REQUIREMENT (AISC 358-10 Eq 6.10-13, FEMA Sec 3.3.3.1)

0.20 in <

Where 1990 in, (AISC 358-10 Tab. 6.5 Stiffened)

0.23 in <(The continuity plates may not be required.)

1.44 in, USE 1.50 in, ( 1-1/2 in )

12 in < 23.84 in, (AISC 358-10 Eq 6.10-10)[Satisfactory]

1568.7 kips

Where 0.9 ,(AISC 360 E1) 16.02 in

K = 0.75 (AISC 360 E2) [Satisfactory]

1885 77168 ksi (AISC 360 E3)

48 35.99 ksi (AISC 360 E3)

6.24 in 36 kips, plate yield stress

895.0 kips < [Satisfactory]

Where 1.1 (AISC 341-10 Tab. A3.1)

The best fillet weld size (AISC 360 Sec.J2.2b)

w = 7/16 in0.25 in

0.5625 in

[Satisfactory]

The required weld length between A36 continuity plates and column web (FEMA Fig 3-6)

= (1.5 x 18.6) x 36 / [(2) 0.75 (0.6x70)(0.707x7/16)] = 23.50 in

Where 18.6 < [Satisfactory]

(Use complete joint penetration groove welds between continuity plates & column flanges.)

CHECK PANEL ZONE THICKNESS REQUIREMENT (AISC 341 Sec. E3.6e & FEMA Sec. 3.3.3.2)

0.61 in

0.61 in

Where 0.79

311

3060

971 ft-kips

1.1 (FEMA Sec. 3.5.5.1)

0.43 in

0.71 in

>not required.

Technical References: 1. AISC 341-10: "Seismic Provisions for Structural Steel Buildings", American Institute of Steel Construction, 2010. 2. AISC 358-10: "Prequalified Connections for Special and Intermediate Steel Moment Frames for Seismic Applications",

American Institute of Steel Construction, 2010. 3. AISC 360-10: "Specification for Structural Steel Buildings", American Institute of Steel Construction, 2010. 4. FEMA 350: "Recommended Seismic Design Criteria for New Steel Moment-frame Buildings.", SAC Joint Venture, 2000.

tp = in [1.11 Mf / fd Fyp Yp)]0.5 = in

Yp =

Fyp = fd =

tbf, reqD = [1.11 Mf / fd Fyb Yb)]0.5 = tbf, actual

Yb =

tbw, reqD = Mf / [( dc - tcf )( 6 kb + 2 tp + tcf) Fyb] = tbw, actual

tst = tcf for interior connection, or (tcf /2) for exterior connection =

bst = 0.56 (E / Fyst )0.5 tst =

fcPn,st = fcFcr A =

fc = hst = dc - 2kc =

K hst / rst < 200

I = tst (2bst + twb) 3 / 12 = in4 Fe =

A = 2bsttst + 25(twb) 2 = in2 Fcr =

rst = ( I / A )0.5 = Fyst =

Pu,st = Ryc Fyc bfc tfc = fcPn,st

Ry =

> wMIN =

< wMAX =

Lw = 0.6tstLnstFy / [(2) f Fw (0.707 w)]

Lnet = db - 2(kb + 1.5) = 2(Lnet -0.5)

tReqD = MAX (t1, t2) =

t1 = Cy Mb (h - dc ) / [0.9 (0.6) Fyb Ryb db (dc - tfc) h] =

Cy = Sb / (Cpr Zhing) =

Sc = 2Ic / dc = in2

Ic = Ix = in4

Mb = SMpc* =

Cpr =

t2 = (dz + wz ) / 90 = (dc -2tst + db - 2kb) / 90 =

Since twb =

tReqD , a doubler plate is