
Principles of Highway Engineering and Traffic Analysi (NEW!!)
6th Edition
ISBN: 9781119305026
Author: Fred L. Mannering, Scott S. Washburn
Publisher: WILEY
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Chapter 4, Problem 2P
To determine
The number of
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Consider the cross-section shown below. Assume the cross-section is subjected to an external axial
force of 300 kN applied at the origin of the reference system shown (the origin is located at mid-height
of the section). Note that the flanges have different thicknesses.
Assume linear-elastic material properties and the section to be made of steel with elastic modulus
E = 200 GPa.
110
14
70
70
RR
10
X
96
30
110
Notes: All dimensions in mm
Sketch not to scale
(i) Determine the strains and stresses induced in the cross-section by applying the cross-sectional
analysis presented in the lecture notes. Provide all steps of your numerical calculations.
(ii) Sketch the strain and stresses diagram based on the values calculated at point (i).
Notes:
-Make sure to clearly state the sign convention adopted in your answer for the curvature and strain
values (these should be consistent with the sign convention adopted in the lecture notes)
-If the question does not provide the values of the variables…
for the steel u-shape design (diamter: 3/4"), determine the maximum stress developed under a loading of P=300 lb
Consider the 4-layered wall component shown below.
twitw2 tw3 tw4
A
Assume that the wall is subjected to a temperature of 20°C on its left face and a temperature of 50°C
on its right face. The wall has an area A equal to 12 m². Other material properties are specified in the
table below for each layer.
Layer
Wall panel thickness t [mm]
Conductivity [W/(mk)]
1
120
0.8
2
50
0.4
3
120
0.8
4
20
0.3
Determine following variables:
(i) the temperature distribution through the wall thicknesses
(ii) the density of heat flow rate
(iii) the heat flow rate
Note: If the question does not provide the values of the variables required to calculate the solution,
make sure to select appropriate values for these variables based on your engineering judgment.
Chapter 4 Solutions
Principles of Highway Engineering and Traffic Analysi (NEW!!)
Ch. 4 - Prob. 1PCh. 4 - Prob. 2PCh. 4 - Prob. 3PCh. 4 - Prob. 4PCh. 4 - Prob. 5PCh. 4 - Prob. 6PCh. 4 - Prob. 7PCh. 4 - Prob. 8PCh. 4 - Prob. 9PCh. 4 - Prob. 10P
Ch. 4 - Prob. 11PCh. 4 - Prob. 12PCh. 4 - Prob. 13PCh. 4 - Prob. 14PCh. 4 - Prob. 15PCh. 4 - Prob. 16PCh. 4 - Prob. 17PCh. 4 - Prob. 18PCh. 4 - Prob. 19PCh. 4 - Prob. 20PCh. 4 - Prob. 21PCh. 4 - Prob. 22PCh. 4 - Prob. 23PCh. 4 - Prob. 24PCh. 4 - Prob. 25PCh. 4 - Prob. 26PCh. 4 - Prob. 27PCh. 4 - Prob. 28PCh. 4 - Prob. 29PCh. 4 - Prob. 30PCh. 4 - Prob. 31PCh. 4 - Prob. 32P
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