September 8, 2020

Compute the factored load using LRFD method.

(1.2 ) (1.6 )

u

P D L= +

Here, the dead load is

D

, the live load is

L

and the factored load is

u

P

.

Substitute

10 kips

for

D

and

28 kips

for

L

.

(1.2 10) (1.6 28)

= 56.8 kips

u

P= +

Calculate the bearing load per bolt using LRFD method.

./

ub

B L P n=

Here, the bearing load per bolt using LRFD method is

.BL

, the factored load using LRFD

method is

u

P

and the number of bolts in the connection is

b

n

.

Substitute

56.8 kips

for

u

P

and

6

for

b

n

.

. 56.8/ 6

= 9.47 kips/bolt

BL=

Compute the clear distance in direction of force between edge of hole and edge of adjacent

hole for edge bolts.

(1/16)hd=+

Here, the distance from the centerline of the compression flange to the tension side edge of

the end plate is

h

and the depth of the connecting beam is

d

.

Substitute

3/4 in

for

d

.

(3/ 4) (1/16)

= 13/16 in

h=+

( / 2)

ce

l l h=−

Here, the clear distance in direction of force between edge of hole and edge of adjacent

hole for edge bolts in WT is

c

l

, the effective length of end plate is

e

l

and the distance from

the centerline of the compression flange to the tension side edge of the end plate is

h

.

Substitute

1.5 in

for

e

l

,

0.8125 in

for

h

.

1.5 (0.8125/ 2)

= 1.094 in

c

l=−

Compute the clear distance in direction of force between edge of hole and edge of adjacent

hole for other bolts.

co

l s h=−

Here, the clear distance in direction of force between edge of hole and edge of adjacent

hole for other bolts is

co

l

, distance from centerline of most inside tension bolt row to the

edge of the yield line pattern is

s

and the distance from the centerline of the compression

flange to the tension side edge of the end plate is

h

.

Substitute

3 in

for

s

and

0.8125 in

for

h

.

3 0.8125

= 2.188 in

co

l=−

Check the bearing strength of the connection using LRFD method for edge bolts.

0.560 in

f

t=

for W10 X 49 column.

Here, the thickness of the column flange is

f

t

.

0.620 in

fp

t=

for WT5 X 22.5 end plate.

Here, the thickness of the end plate is

fp

t

.

The end plate controls the bearing strength of the connection of the tee to the column.

min

. 1.2 c fp u

BS l t F

=

Here, the minimum bearing strength of the connection of the tee to the column using LRFD

method is

min

.BS

, the clear distance in direction of force between edge of hole and edge of

adjacent hole for edge bolts is

c

l

, the thickness of the end plate is

fp

t

,the specified minimum

tensile strength of end plate is

u

F

and the resistance factor for LRFD is

.

Substitute

0.75

for

,

1.094 in

for

c

l

,

0.620 in

for

fp

t

and

65 kips

for

u

F

.

min

. 0.75 1.2 1.094 0.620 65

= 39.7 kips/bolt

BS =

f