Module 4: Moving Loads and Influence Lines - Examples
Drawing Influence Lines
Example 1: Influence Line for Reaction
Draw the influence line for the vertical reaction at () for a simply supported beam of length , supported at () and ().
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Example 2: Influence Line for Shear at Midspan
Draw the influence line for internal shear at point , located at midspan () of the same simply supported beam.
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Example 3: Influence Line for Moment at Midspan
Draw the influence line for internal bending moment at point (midspan, ) for the simply supported beam.
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Maximum Response from Moving Loads
Example 1: Maximum Moment using Influence Line
A simply supported beam spans . A series of two wheel loads from a truck (, , spaced apart) moves across the beam. Find the maximum bending moment at midspan ().
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Example 2: Absolute Maximum Bending Moment
For the same beam and moving truck (, , spacing ), calculate the absolute maximum bending moment that can occur anywhere in the beam.
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Example 3: Maximum Shear using Influence Line
Find the absolute maximum shear in the beam for the same moving truck.
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