A number of students have asked for more instructions on the method to address the Tacony-Palmyra bridge lab prepared by Dr. Moon. Neha Sunger, one of our TA’s, has most kindly prepared the following notes.
1) Look at the “Truss Spans Stress Sheet” drawing at pg-12 of Tacony-Palmyra Drawings document.
a. There are 3 “truss span” sketches and two “cross-section” sketches.
b. Look at the third sketch from top and locate pier F.
c. Locate the position of strain gauges. They are 85’ east of pier F on the New Jersey Truss span.
i. For this, roughly estimate the 85’ distance from pier F to pier G (shown that the total distance between two piers is 244.87’).
d. Submit a sketch showing this location (You can copy –paste the given drawing and mark the location on it OR you can draw it yourself but make sure to label beams and spans appropriately).
e. Look the second sketch from top on the same page and find the details of the members of the top truss chord at the gauge location.
f. Submit a sketch of the cross-sectional view of the top chord highlighting the cover plates, angles, webs and plates. (A sample of this sketch is provided by Dr Mitchell, check the blog post at- http://caee-201ay121.blogspot.com/2012/10/top-chord-tacony-palmyra-bridge.html).
2) Calculate the cross-sectional area of the top chord following the example calculation given in the “T-P Lab description 20121018.docx” document.
3) Now calculate the top chord force using the following expression:
F = ε E A
Where,
F = force in the top chord (lb)
ε = maximum measure strain (in/in) (given in the excel sheet)
E = elastic modulus of steel (29,000,000 psi)
A = cross-sectional area of the top chord (calculated in step 3 above)
a. Value of ε should be the maximum strain recorded in the member.
i. Either identify the minimum strain gauge data reading for each sensor and take an average.
ii. Or pick any one strain gauge but justify the criteria for the selection.
b. BONUS: Answer to the question- Why are the maximum readings negative?
4) Check the truck picture and locate if it’s in lane 1, 2 or 3.
5) Assign a ‘distribution’ factor based on which lane the truck was in when it crossed the bridge.
γ = distribution factor:
0.75 for Lane 1
0.5 for Lane 2
0.25 for Lane 3
6) Now apply moment equilibrium (see the forces shown below in Figure 1) and calculate the weight of the truck using equation:
ΣMo = 0
F (H) - γ W (L) = 0
W = [F (H)] / [γ (L)]
Where,
L= truss span (given 85’)
H= distance between chords (get from the pg-12 drawing)
F= calculated in step 4.
Fig. 1