three-moment equation

Problem 818 | Continuous Beam by Three-Moment Equation

Problem 818
In Problem 817, determine the changed value of the applied couple that will cause M2 to become zero.
 

818-continuous-beam.gif

 

Problem 817 | Continuous Beam by Three-Moment Equation

Problem 817
Find the moment under the support R2 of the continuous beam shown in Fig. P-817.
 

817-continuous-beam-with-moment-and-triangular-loads.gif

 

Problem 816 | Continuous Beam by Three-Moment Equation

Problem 816
Determine the lengths of the overhangs in Fig. P-816 so that the moments over the supports will be equal
 

816-equal-moments-over-supports.gif

 

Problem 815 | Continuous Beam by Three-Moment Equation

Problem 815
Find the moment at R2 and R3 of the continuous beam shown in Fig. P-815.
 

815-continuous-beam-triangular-concentrated-loads.gif

 

Problem 814 | Continuous Beam by Three-Moment Equation

Problem 814
Find the moment at R2 of the continuous beam shown in Fig. P-814.
 

814-continuous-beam-triangular-load.gif

Problem 813 | Continuous Beam by Three-Moment Equation

Problem 813
Determine the moment over the support R2 of the beam shown in Fig. P-813.
 

813-continuous-beam-three-supports.gif

The Three-Moment Equation

The three-moment equation gives us the relation between the moments between any three points in a beam and their relative vertical distances or deviations. This method is widely used in finding the reactions in a continuous beam.
 

Consider three points on the beam loaded as shown.
 

000-three-moment-equation.gif

 

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