4.3 Design of Base Plate w STIFFENER (Feb 21 2015)

8/18/2019 4.3 Design of Base Plate w STIFFENER (Feb 21 2015)

1/54

XX. BASE PLATE CHECK W6X25 (Node 1)

Column W6X25 Parameter

d = 6.38 in f'c = 4.00 ksi

bf = 6.08 in

tw = 0.32 in fy = 36.00 ksi

tf = 0.46 in

Bae Plate

tp = 1.00 in

B = 8.00 in

N = 14.50 in

g = 4.00 in

f = 12.00 in

St!""ener Plate

tsp = 0.75 in

wsp = 4.06 inhsp1 = 6 in

hsp2 = 3 in

b = 0 in

Pedetal

L = 18.50 in

W = 12.00 in

#e$u!red %or&e

!" $%& (nsi!n)t = 1.72 kips *t(nsi!n+ N!d( 1 L,- 22

&t = 0.14 kips

/t = 1.26 kips

$&t = 68.34 kipin

$/t = 0.06 kipin

!" $%& -!p"(ssi!n

)c = 3.81 kips *c!p"(ssi!n+ N!d( 1 L,- 23

&c = 0.14 kips

/c = 1.26 kips

$&c = 68.44 kipin$/c = 0.10 kipin

f

hsp2hsp1


2/54

'e!n o" Bae Plate "or Comre!on

!w%b( B(%"ing t"(ss

p = 0.70 f'c= 0.70 *4.00+

p = 2.80 ksi

$%& B(%"ing p"(ss"(

= )c, $&c,& $/c,/

wh("( = 116.00

& = 4064.83

/ = 1237.33

= 0.050 ksi 2.80 ksi

9(:i"(d )%t( hickn(ss

tp" =

= ; N *0.


3/54

/ = 0.12

tp" =

tp" = 0.40 in tp = 1.00 in

'e!n o" St!""ener Plate "or Ten!on

9(:i"(d h(%" %nd $!(nt

)sp = 9 , 2

)sp = 1.65 kips

$sp = )sp *%+

$sp = 4.64 kipin

9(:i"(d hickn(ss !f tiff(n(" )%t(

/ = ? $sp , y wh("(

Ω = 1.67

/ = 0.22

tsp" =

tsp" = 0.02 in tsp = 0.75 in

h(%" -%p%city !f tiff(n(" )%t(

= 0.6 y *hsp1+ *tsp+ , ?

= 58.20 kips @ )sp = 1.65 kips wh("(

Ω = 1.67

Weld Caa&!t*

" = 0.63 in

A = 0.25 in w(d si/(

= 70XX = 70 ksi w(d st"(ngth

L(ngth !f w(ds

Lw& = 2bf 2*bf tw 2"+ (ngth !f w(d p%"%( t! & %&is

Lw& = 21.16 in

Lw/ = 2*d 2tf 2"+ (ngth !f w(d p%"%( t! / %&is

Lw/ = 8 in

S+ear X , '!re&t!on = 2.00

= "c%n*)t , &t+ =

in3

; * 4 / + , b(ff

0.5

in3

* 4 / + , hsp1 2

9(:i"(d t"(ngths

XX

C w

θ w %ng( !f !%ding (%s"(d f"! th( w(d !ngitdin% %&isD d(g"((s

θ w

"

%

)sp %


4/54

nw = =

w( = *0.707+ *A+ *Lw&+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = &t , w( =

b(nding st"(ss fb = $&t , Ew( =

th( p(%k st"(ss f%Dp(%k = =

th( %F("%g( st"(ss f%D%F( =

9(:i"(d w(d st"(ss f%Dw(d = $%&*f%Dp(%k D 1.25 f%D%F(+

= 31.45 ksi @

S+ear - , '!re&t!on = 2.00

= "c%n*)t , /t+ =

nw = =

w( = *0.707+ *A+ *Lw/+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = /t , w( =

b(nding st"(ss fb = $/t , Ew( =




= 28.61 ksi @

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw&2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2

!w%b( w(d st"(ss 9n , Ωw = Fnw / Ω

w

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw/2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w


5/54

Weld Caa&!t* (St!""ener Plate to Bae Plate) = 2.00

= "c%n*)sp , + =

wh("( = 0.00 kips

nw = =

w( = 2 *0.707+ *A+ *wsp+ =

Ew( = =

%&i% st"(ss f% = 2 *)sp+ , w( =

sh(%" st"(ss fF = , w( =

b(nding st"(ss fb = B$ , Ew( =

wh("( B$ = )sp ;*wsp,2+ % =




= 21.00 ksi @

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

2 *0.707+ *A+ *wsp2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w


6/54

c!p"(ssiF( st"(ngth

!f c!nc"(t(

yi(d st"(ngth !f p%t(

W

B

LN

g

/

&

wsp

b


7/54

K /./2

K /.06

29

bf

d

%

g

/

&

b(ff

b


8/54

JK

JK

JK

85.35 d(g

/

&

bf

d


9/54

62.


10/54

0.00 d(g

42.00 ksi

1.44

1.46

2.2< ksi

0.00 ksi

0.88 ksi

1.2< kipin

3.17 ksi

= 2.2< ksi

= 3.17 ksi

f%Dw(d = 3.17 ksi D

in2

in3


11/54

5.0 BASE PLATE CHECK W6X25


d = 6.38 in f'c = 4.00 ksi

bf = 6.08 in

tw = 0.32 in fy = 36.00 ksi

tf = 0.46 in f = 60.00 ksi

Bae Plate

tp = 1.125 in

B = 8.00 in

N = 14.50 in

g = 4.00 in

f = 12.00 in

St!""ener Plate

tsp = 0.375 in

wsp = 4.06 in

hsp1 = 6 in

hsp = 5.00 in

Pedetal

L = 18.50 in

W = 12.00 in

#e$u!red %or&e

!" $%& (nsi!n

)t = 0.


12/54


13/54


!w%b( B(%"ing t"(ss

p = 0.70 f'c

= 0.70 *4.00+

p = 2.80 ksi

$%& B(%"ing p"(ss"(

= )c, $&c,& $/c,/

wh("( = 116.00

& = 4064.83

/ = 1237.33

= 0.047 ksi 2.80 ksi


tp" =

= ; N *0.


14/54


15/54

'e!n o" St!""ener Plate

9(:i"(d h(%"

= 29 = 13.58 kips

9(:i"(d B(nding $!(nt

$ = 29 *%+ = 38.16 kipsin

!w%b( h(%" t"(ngth

n , ? = in H ; y *hsp+ *tsp+ , 1.67 D ; *hsp+ *tsp+ , 2.0 I

n , ? = 40.42 kips @ = 13.58 kips

!w%b( B(nding $!(nt

$n , ? =

$n , ? = 50.52 kipin @ $ = 38.16 kipin

%!llet Weld S+ear Strent+ o" Bae Plate and St!""ener3 4n1

i/( !f fi(t w(d s = 0.375 in

(&& = 70.00 ksi

n1 , ? = 0.707 *s+ *W(+ *0.6+ *(&&+ , ? wh("( ? =

n1 , ? = 15.65 kips @ 9 = 6.7< kips K #at!

%!llet Weld S+ear Strent+ o" St!""ener and Column %lane3 4n2

n2 , ? = 0.707 *s+ *2+ *hsp+ *0.6+ *(&&+ , ? wh("( ? =

n2 , ? = 55.68 kips @ 29 = 13.58 kips K #at!

%!llet Weld %leural Strent+ o" St!""ener and Column %lane3 n

$n , ? = 0.6 *(&&+ *E+ , ? wh("( ? = wh("( E = = 3.31

$n , ? = 6


16/54

Weld Caa&!t* o" Column and Bae Plate

" = 0.63 in

A = 0.25 in w(d si/(


L(ngth !f w(ds


Lw& = 21.16 in


Lw/ = 8 in

S+ear X , '!re&t!on = 2.00

= "c%n*)t , &t+ =

nw = =

w( = *0.707+ *A+ *Lw&+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = &t , w( =





= 31.4< ksi @

9(:i"(d t"(ngths

XX

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw&2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w


17/54

S+ear - , '!re&t!on = 2.00

= "c%n*)t , /t+ =

nw = =

w( = *0.707+ *A+ *Lw/+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = /t , w( =





= 25.54 ksi @

'e!n o" An&+or Bolt

Ai%n(t(" Ab= 0.875 in N!in% t(nsi( st"(ss nt= 45.00

ff(ctiF( "(% b(= 0.462 N!in% sh(%" st"(ss nF= 25.00

"!ss "(% b= 0.601 nb(" !f %nch!" b!ts n" = 2.00

1.30 ksi

wh("(D ?=

)% = 32.35 @ 29 = 13.58 9%ti! = 0.42

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw/2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w

in2

in2

9(:i"(d h(%" st"(ss f"F=√（&,22/,22+,b( =

!w%b( t(nsi( st"(ngth )% =n" *b+ nt ,? = n" *b+*1.3 nt Ωnt,nFMf"F+, ? =


18/54

c!p"(ssiF( st"(ngth

!f c!nc"(t(


ti%t( st"(ngth !f p%t(

B

LN

/

&

hsp hsp1


19/54


20/54

K #at!o3 /./2

K #at!o3 /.01

K #at!o3 /.67

29

)t

$

bf

d

%

g

/

&

b(ff

b

W(


21/54


22/54

K #at!o3 /.07

K #at!o3 /.86

2.00

3 /.70

2.00

3 /.27

2.00

3 /.55

hsp hsp1


23/54

88.17 d(g

62.


24/54

34.85 d(g

51.07 ksi

1.41

2.83

0.67 ksi

0.


25/54

XX. BASE PLATE CHECK W6X25 (node 0)


d = 6.38 in f'c = 4.00 ksi

bf = 6.08 in

tw = 0.32 in fy = 36.00 ksi

tf = 0.46 in

Bae Plate

tp = 1.00 in

B = 8.00 in

N = 14.50 in

g = 4.00 in

f = 12.00 in

St!""ener Plate

tsp = 0.75 in


hsp2 = 3 in

b = 0 in

Pedetal

L = 18.50 in

W = 12.00 in

#e$u!red %or&e


&t = 0.05 kips

/t = 1.45 kips

$&t = 104.35 kipin

$/t = 2.5< kipin

!" $%& -!p"(ssi!n

)c = 6.17 kips *c!p"(ssi!n+ N!d( 3 L,- 23

&c = 0.06 kips

/c = 1.47 kips

$&c = 105.35 kipin$/c = 2.


26/54


!w%b( B(%"ing t"(ss

p = 0.70 f'c= 0.70 *4.00+

p = 2.80 ksi

$%& B(%"ing p"(ss"(

= )c, $&c,& $/c,/

wh("( = 116.00

& = 4064.83

/ = 1237.33

= 0.082 ksi 2.80 ksi


tp" =

= ; N *0.


27/54

/ = 0.21

tp" =

tp" = 0.53 in tp = 1.00 in


9(:i"(d h(%" %nd $!(nt

)sp = 9 , 2

)sp = 2.75 kips

$sp = )sp *%+

$sp = 7.73 kipin


/ = ? $sp , y wh("(

Ω = 1.67

/ = 0.36

tsp" =

tsp" = 0.04 in tsp = 0.75 in


= 0.6 y *hsp1+ *tsp+ , ?

= 58.20 kips @ )sp = 2.75 kips wh("(

Ω = 1.67

Weld Caa&!t*

" = 0.63 in

A = 0.25 in w(d si/(


L(ngth !f w(ds


Lw& = 21.16 in


Lw/ = 8 in

S+ear X , '!re&t!on = 2.00

= "c%n*)t , &t+ =

in3

; * 4 / + , b(ff

0.5

in3

* 4 / + , hsp1 2

9(:i"(d t"(ngths

XX

C w


θ w

"

%

)sp %


28/54

nw = =

w( = *0.707+ *A+ *Lw&+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = &t , w( =





= 31.50 ksi @

S+ear - , '!re&t!on = 2.00

= "c%n*)t , /t+ =

nw = =

w( = *0.707+ *A+ *Lw/+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = /t , w( =





= 30.21 ksi @

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw&2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw/2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w


29/54


= "c%n*)sp , + =

wh("( = 0.00 kips

nw = =

w( = 2 *0.707+ *A+ *wsp+ =

Ew( = =

%&i% st"(ss f% = 2 *)sp+ , w( =

sh(%" st"(ss fF = , w( =


wh("( B$ = )sp ;*wsp,2+ % =




= 21.00 ksi @

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

2 *0.707+ *A+ *wsp2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w


30/54

c!p"(ssiF( st"(ngth

!f c!nc"(t(


W

B

LN

g

/

&

wsp

b


31/54

K /./0

K /.76

29

bf

d

%

g

/

&

b(ff

b


32/54

JK

JK

JK

8


33/54

63.00 ksi

3.74

1


34/54

0.00 d(g

42.00 ksi

1.44

1.46

3.82 ksi

0.00 ksi

1.47 ksi

2.15 kipin

5.2< ksi

= 3.82 ksi

= 5.2< ksi

f%Dw(d = 5.2< ksi D

in2

in3


35/54



d = 6.38 in f'c = 4.00 ksi

bf = 6.08 in

tw = 0.32 in fy = 36.00 ksi

tf = 0.46 in

Bae Plate

tp = 1.00 in

B = 8.00 in

N = 14.50 in

g = 4.00 in

f = 12.00 in

St!""ener Plate

tsp = 0.75 in


hsp2 = 3 in

b = 0 in

Pedetal

L = 18.50 in

W = 12.00 in

#e$u!red %or&e


&t = 0.07 kips

/t = 1.01 kips

$&t = 68.38 kipin

$/t =


36/54


!w%b( B(%"ing t"(ss

p = 0.70 f'c= 0.70 *4.00+

p = 2.80 ksi

$%& B(%"ing p"(ss"(

= )c, $&c,& $/c,/

wh("( = 116.00

& = 4064.83

/ = 1237.33

= 0.054 ksi 2.80 ksi


tp" =

= ; N *0.


37/54

/ = 0.18

tp" =

tp" = 0.4< in tp = 1.00 in


9(:i"(d h(%" %nd $!(nt

)sp = 9 , 2

)sp = 2.32 kips

$sp = )sp *%+

$sp = 6.52 kipin


/ = ? $sp , y wh("(

Ω = 1.67

/ = 0.30

tsp" =

tsp" = 0.03 in tsp = 0.75 in


= 0.6 y *hsp1+ *tsp+ , ?

= 58.20 kips @ )sp = 2.32 kips wh("(

Ω = 1.67

Weld Caa&!t*

" = 0.63 in

A = 0.25 in w(d si/(


L(ngth !f w(ds


Lw& = 21.16 in


Lw/ = 8 in

S+ear X , '!re&t!on = 2.00

= "c%n*)t , &t+ =

in3

; * 4 / + , b(ff

0.5

in3

* 4 / + , hsp1 2

9(:i"(d t"(ngths

XX

C w


θ w

"

%

)sp %


38/54

nw = =

w( = *0.707+ *A+ *Lw&+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = &t , w( =





= 31.50 ksi @

S+ear - , '!re&t!on = 2.00

= "c%n*)t , /t+ =

nw = =

w( = *0.707+ *A+ *Lw/+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = /t , w( =





= 30.18 ksi @

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw&2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw/2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w


39/54


= "c%n*)sp , + =

wh("( = 0.00 kips

nw = =

w( = 2 *0.707+ *A+ *wsp+ =

Ew( = =

%&i% st"(ss f% = 2 *)sp+ , w( =

sh(%" st"(ss fF = , w( =


wh("( B$ = )sp ;*wsp,2+ % =




= 21.00 ksi @

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

2 *0.707+ *A+ *wsp2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w


40/54

c!p"(ssiF( st"(ngth

!f c!nc"(t(


W

B

LN

g

/

&

wsp

b


41/54

K /./2

K /.08

29

bf

d

%

g

/

&

b(ff

b


42/54

JK

JK

JK

88.24 d(g

/

&

bf

d


43/54

62.


44/54

0.00 d(g

42.00 ksi

1.44

1.46

3.22 ksi

0.00 ksi

1.24 ksi

1.81 kipin

4.46 ksi

= 3.22 ksi

= 4.46 ksi

f%Dw(d = 4.46 ksi D

in2

in3


45/54



d = 6.38 in f'c = 4.00 ksi

bf = 6.08 in

tw = 0.32 in fy = 36.00 ksi

tf = 0.46 in

Bae Plate

tp = 1.00 in

B = 8.00 in

N = 14.50 in

g = 4.00 in

f = 12.00 in

St!""ener Plate

tsp = 0.75 in


hsp2 = 3 in

b = 0 in

Pedetal

L = 18.50 in

W = 12.00 in

#e$u!red %or&e


&t = 0.07 kips

/t = 1.44 kips

$&t = 104.21 kipin

$/t = 11.33 kipin

!" $%& -!p"(ssi!n

)c = 6.07 kips *c!p"(ssi!n+ N!d( 5 L,- 22

&c = 0.07 kips

/c = 1.47 kips

$&c = 105.60 kipin$/c = 11.26 kipin

f

hsp2hsp1


46/54


!w%b( B(%"ing t"(ss

p = 0.70 f'c= 0.70 *4.00+

p = 2.80 ksi

$%& B(%"ing p"(ss"(

= )c, $&c,& $/c,/

wh("( = 116.00

& = 4064.83

/ = 1237.33

= 0.087 ksi 2.80 ksi


tp" =

= ; N *0.


47/54

/ = 0.25

tp" =

tp" = 0.57 in tp = 1.00 in


9(:i"(d h(%" %nd $!(nt

)sp = 9 , 2

)sp = 3.36 kips

$sp = )sp *%+

$sp =


48/54

nw = =

w( = *0.707+ *A+ *Lw&+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = &t , w( =





= 31.50 ksi @

S+ear - , '!re&t!on = 2.00

= "c%n*)t , /t+ =

nw = =

w( = *0.707+ *A+ *Lw/+ =

Ew( = =

%&i% st"(ss f% = )t , w( =

sh(%" st"(ss fF = /t , w( =





= 30.52 ksi @

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw&2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

*0.707+ *A+ *Lw/2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w


49/54


= "c%n*)sp , + =

wh("( = 0.00 kips

nw = =

w( = 2 *0.707+ *A+ *wsp+ =

Ew( = =

%&i% st"(ss f% = 2 *)sp+ , w( =

sh(%" st"(ss fF = , w( =


wh("( B$ = )sp ;*wsp,2+ % =




= 21.00 ksi @

C w


θ w

0.6 *(&&+ ; 1 0.5 *GNθ w+1.5

2 *0.707+ *A+ *wsp2 , 4+

;*f% fb+2 fF20.5

H;*f% fb+2 fF20.5 ;*f% fb+2 fF20.5I , 2


w


50/54

c!p"(ssiF( st"(ngth

!f c!nc"(t(


W

B

LN

g

/

&

wsp

b


51/54

K /./0

K /.78

29

bf

d

%

g

/

&

b(ff

b


52/54

JK

JK

JK

88.


53/54

62.


54/54

0.00 d(g

42.00 ksi

1.44

1.46

4.67 ksi

0.00 ksi

1.7< ksi

2.62 kipin

6.46 ksi

= 4.67 ksi

= 6.46 ksi

f%Dw(d = 6.46 ksi D

in2

in3

4.3 Design of Base Plate w STIFFENER (Feb 21 2015)

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Transcript of 4.3 Design of Base Plate w STIFFENER (Feb 21 2015)