Design Example 1 Cantilevered Overhead Sign Support ...
Design Example 1 Cantilevered Overhead Sign Support - Truss with Post
Problem statement:
Location: I-85 Atlanta, GA Design a structure to support a sign 22 ft. long and 11 ft. high. The distance from the center of the upright to the center of the sign is 24 ft. The distance from the base of the post to the center of the sign is 23 ft. and no walkway is included.
Use API-5L-X52 round steel pipe (Fy=52 ksi) for the main structure members and ASTM A-53 Grade B pipe for the secondary members. Use AASHTO M314-90 Grade 55 anchor bolts. The structure would cross a lifeline travelway should it collapse.
Reference:E:\BT\Projects\NCHRP 10-80\Examples\Release\SpecificationFunctions.xmcd(R)
Several commonly-used functions are stored in a separate include file that is used in multiple example problems. These include functions to determine Cd and resistance values for flexure, shear, and torsion for common steel shapes. You may need to reset the path to this file for your computer by right-clicking on the reference.
Contents
Definitions and Assumptions Dead Loads Wind Loads Wind Load Combinations Factored Actions Truss Chord Resistance Vertical Web Member Resistance Horizontal Web Member Resistance Second Order Effects Design Checks at the Post Base Anchor Bolt Design Base Plate Design Base Plate Weld Design
Contents
Definitions And Assumptions
Definitions and Assumptions:
Materials:
steel
:=
490
lbf ft3
ice
:=
56.8
lbf ft3
Fy_main := 52ksi Fy_sec := 35ksi
Es := 29000ksi
Fy_bp := 36ksi
Back to Contents
Resistance Factors: flexure := 0.90 shear := 0.90
weld := 0.75 torsion := 0.95 axial := 0.90
bolt_tension := 0.75
bolt_shear := 0.33
Sign: bsign := 22ft
hsign := 11ft
Wind Loads:
VE1 := 120mph VS2 := 76mph
wsign := 7psf Psign := bsignhsignwsign = 1.694kip
Figure 3.8-2a Figure 3.8-4a
Post: Assume the main post is 24" diameter, t = 5/16"
dpost := 24in Lpost := 25ft
tpost
:=
5 in
16
dpost_out := dpost + tpost = 24.3in
dpost_in := dpost - tpost = 23.7in
Apost
:=
dpost_out2 -
4
dpost_in2
=
23.6in2
Ipost
:=
dpost_out4 -
64
dpost_in4
=
1697in4
Spost :=
dpost_out4 - dpost_in4
32dpost_out
=
140in3
rpost :=
dpost_out2 + dpost_in2 = 8.49in 4
Zpost := 1.27Spost = 177.3in3
From Table 5.7.2-1
post :=
dpost tpost
=
76.8
p_post :=
0.07 Es Fy_main
=
39
r_post_comp :=
0.11 Es Fy_main
=
61.3
Qpost
:=
0.67
+
0.038 dpost
Es Fy_main
=
0.946
tpost
r_post_flex :=
0.31 Es Fy_main
=
172.9
Equation 5.10.2.2-1
Truss: htruss := 23ft
ltruss := 35ft lpanel := 4ft dtruss := 3ft
Height at which the truss frames into the post (centroid). Length of the truss.
Length and height of a truss panel.
Depth of the truss along the z-axis.
The following section properties are from the AISC Steel Design Manual.
Assume that the truss chords are HSS 3.5 X 0.188
dchord := 3.5in
Ichord := 2.52in4
Jchord := 5.04in4 wchord := 6.66plf
chord :=
dchord tchord
=
20.1
tchord := 0.174in Schord := 1.44in3 Zchord := 1.93in3
Achord := 1.82in2 rchord := 1.18in Cchord := 2.88in3
p_chord :=
0.07 Es Fy_main
=
39.0
Qchord := 1.0
Table 5.7.2-1
Assume the vertical struts and diagonals are 1" Standard Pipe:
dvdiag := 1.32in Ivdiag := 0.0830in4 Jvdiag := 0.166in4
tvdiag := 0.124in Svdiag := 0.126in3 Zvdiag := 0.177in3
wvdiag := 1.68plf
vdiag :=
dvdiag tvdiag
=
10.6
p_vdiag :=
0.07 Es Fy_sec
=
58.0
Assume the horizontal diagonals are 1.5" Extra Strong Pipe:
dhdiag := 1.90in Ihdiag := 0.372in4 Jhdiag := 0.744in4
thdiag := 0.186in Shdiag := 0.392in3 Zhdiag := 0.549in3
whdiag := 3.63plf
hdiag :=
dhdiag thdiag
=
10.2
p_hdiag :=
0.07 Es Fy_sec
=
58.0
Definitions And Assumptions
Avdiag := 0.460in2 rvdiag := 0.423in
Qvdiag := 1.0 Table 5.7.2-1 Ahdiag := 1.00in2 rhdiag := 0.610in
Qhdiag := 1.0 Table 5.7.2-1
Dead Loads
Dead Loads
Psign = 1.69kip
Back to Contents
dx_sign := 24ft
Distance from post to sign centroid, lever arm
Post weight:
Ppost := ApoststeelLpost = 2.00kip Truss Weights:
Chords for truss: nchords := 4 ltruss = 35 ft wchord = 6.66plf Pchords := nchordsltrusswchord = 0.932kip
Vertical Diagonals (for truss): nverticals := 18 ndiagonals := 16 ldiagonal := lpanel2 + lpanel2 = 5.66 ft
lvertical := lpanel = 4.0 ft Pvert := nverticalslverticalwvdiag + ndiagonalsldiagonalwvdiag = 0.273kip
Horizontal Diagonals (top and bottom): nhorizontals := 18 Phorz := nhorizontalsdtrusswhdiag = 0.196kip
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