1. Parson’s Brinckerhoff
Douglas Deslauriers, Josh Kruzan

2. Truss Design
• A structure of geometric shapes ordered
specifically to support weight

3. Solved Truss
Height= 18m Beam ID Length Force Amin Weight
Length Bottom= 20m L0L1 20.00 44.44 2.22 151.11
Length Top= 20m L1L2 20.00 44.44 2.22 151.11
Outside Force= 40Kip L2L3 20.00 44.44 2.22 151.11
Inside Force= 20Kip L3L4 20.00 44.44 2.22 151.11
Center Force= 40Kip L2U1 26.91 29.90 1.49 136.76
L2U3 26.91 29.90 1.49 136.76
Angle = 0.733 rad L1U1 18.00 20.00 1.00 61.20
° 41.987 ° L3U3 18.00 20.00 1.00 61.20
Compression Members Section 17000-0.53*((3*L)^2) 1000*Kip
L0U1 26.91 59.79 4.41 403.81 13,546.52 59,793.88
L4U3 26.91 59.79 4.41 403.81 13,546.52 59,793.88
U1U2 20.00 66.67 4.42 300.38 15,092.00 66,666.67
U3U2 20.00 66.67 4.42 300.38 15,092.00 66,666.67
Point= (18,2408.74)
Total Weight= 2,408.74

4. Graph of Truss Data
2200
2250
2300
2350
2400
2450
0 10 20 30 40
TrussHeight
Truss Weight
Truss Weight
Truss Weight
25, 2237.38

5. Suspension Cable Model
• A suspension cable bridge is a bridge in which
large cables run along the length of the
bridge, upheld by large towers, which
supports the weight of the bridge.

6. Suspension Cable Data
Distance Between Towers= 1600 feet
Cable Elevation at Midspan= 239.75 feet
Cable Elevation at Top of Tower= 399.75 feet
Working Point1= (0,399.75)
Working Point2= (800,239.75)
Working Point3= (1600,399.75)
Working Equation= y=a(x-h)^2+k
Substituted Equation= 399.75=a(0-800)^2+239.75
Half Solved Equation= 160=a(-800)^2
Solved Equation= 160=a*640000
a= 0.00025
Length of Midspan= 800 feet
Δy= 160 feet
Midspan squared= 640000 feet
Δy/Midspan= 0.00025 unitless
Full Equation= y=0.00025*(x-800)^2+239.75

7. Graph Model
0
50
100
150
200
250
300
350
400
450
0 500 1000 1500 2000
Distance from First tower
Height above Sea
Height above Sea

8. Paint Model
• From time to time bridges need to be painted,
an estimate of paint must be made to
purchase materials.

9. Data to Calculate Variables
Input Calculated Data
Percent Decline 6% Angle of Depression (α) 3.43°
Short Vertical (f) 50ft Compliment of Depression (δ) 86.57°
Long Vertical (g) 60ft Horizontal Beam (x) 40.07ft
Average Horizontal (h) 40ft First Diagonal (y) 62.18ft
Supplement of First Median (β) 93.43°
Second Diagonal (z) 65.92ft
Support Pier Median (a) 55.00ft
Support Pier Angle 1 (θ) 40.04°
Support Pier Left Bottom (b) 40.68ft
Support Pier Angle 2 (λ) 79.52°
Support Pier Angle 3 (μ) 100.48°
Support Pier Diagonal 1 (c) 74.12ft
Support Pier Diagonal 2 (d) 70.13ft
Support Pier Angle 4 (φ) 58.66°
Support Pier Angle 5 (ω) 34.78°
Support Pier Right Bottom (e) 40.08ft