April 2014
Problem 824 | Continuous Beam by Three-Moment Equation
Problem 824
The first span of a simply supported continuous beam is 4 m long, the second span is 2 m long and the third span is 4 m long. Over the first span there is a uniformly distributed load 2 kN/m, and over the third span there is a uniformly distributed load of 4 kN/m. At the midpoint of the second span, there is a concentrated load of 10 kN. Solve for the moment over the supports and check your answers using Problems 820 and 821.
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Problem 823 | Continuous Beam by Three-Moment Equation
Problem 823
A continuous beam simply supported over three 10-ft spans carries a concentrated load of 400 lb at the center of the first span, a concentrated load of 640 lb at the center of the third span and a uniformly distributed load of 80 lb/ft over the middle span. Solve for the moment over the supports and check your answers using the results obtained for Problems 819 and 822.
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Problem 822 | Continuous Beam by Three-Moment Equation
Problem 822
Solve Prob. 821 if the concentrated load is replaced by a uniformly distributed load of intensity wo over the middle span.
Answers:
M2=−woL24⋅1+2β4(α+1)(1+β)−1
M3=−woL24⋅1+2α4(1+α)(1+β)−1
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