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Homework 1

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Department of Civil Engineering, Faculty of Engineering, Mahidol University<br />

EGCE 406: Bridge Design<br />

<strong>Homework</strong> 1 (Due Monday, July 2 nd 2007)<br />

1. If you want to build a bridge to cross a river with a cross-section as shown<br />

below. What kind of a bridge would you build? Think of two different types<br />

and sketch it to scale. Compare the advantage and disadvantages and the<br />

factors that you need to consider between the two.<br />

2. For the beam shown below, find the influence line for:<br />

a. Support Reaction at B<br />

b. Moment at B<br />

c. Shear at C<br />

d. Moment at C<br />

e. Shear to the left of D (Hint: Apply a shear release just to the left of<br />

D)<br />

f. Shear to the right of D (Hint: Apply a shear release just to the right of<br />

D)<br />

A B C D E<br />

4 m 4 m 6 m 3 m


3. Suppose the above structure has to carry a pair of concentrated load, each 5<br />

kN, spaced at 2 m from each other. What would be the placement of these<br />

concentrated loads to produce the maximum effects in each of the cases<br />

above? Determine the maximum value.<br />

5 kN 5 kN<br />

2 m<br />

4. For the truck and bridge shown below. Determine the influence line for<br />

moment at midspan. Use the Increase-Decrease Method to find the load<br />

placement to get the maximum moment at midspan.

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