trapezoidal load

238 Finding the resultant of trapezoidal loading

Problem 238
The beam AB in Fig. P-238 supports a load which varies an intensity of 220 N/m to 890 N/m. Calculate the magnitude and position of the resultant load.
 

Simple beam with trapezoidal load over the entire span

 

Resultant of Parallel Force System

Coplanar Parallel Force System
Parallel forces can be in the same or in opposite directions. The sign of the direction can be chosen arbitrarily, meaning, taking one direction as positive makes the opposite direction negative. The complete definition of the resultant is according to its magnitude, direction, and line of action.
 

Solution to Problem 627 | Moment Diagram by Parts

Problem 627
For the beam loaded as shown in Fig. P-627compute the moment of area of the M diagrams between the reactions about both the left and the right reaction. (Hint: Resolve the trapezoidal loading into a uniformly distributed load and a uniformly varying load.)
 

627-uniformly-varying.gif

 

Solution to Problem 445 | Relationship Between Load, Shear, and Moment

Problem 445
Beam carrying the loads shown in Fig. P-445.
 

 
445-simple-beam-uniform-and-trapezoidal-loads.gif

 

Solution to Problem 414 | Shear and Moment Diagrams

Problem 414
Cantilever beam carrying the load shown in Fig. P-414.

 
 
 
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