Question

y A x P ? B

          y
A
x
P
?
B

Added by Peter D.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Kamlesh Goyal

Step 1

Modeling the beam using one element: To model the beam using one element, we can assume that the beam is linear and has constant properties throughout its length. We can divide the beam into two equal segments, each with a length of L. The element will represent Show more…

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A beam of length 2L is simply supported. The beam is subjected to a concentrated force at the center to produce deflection = δ. Use FEM to model the beam using one element. Use system equations [K]{X}={F} for the beam element and apply boundary conditions to solve for rotation at support A Calculate the concentrated force required to produce deflection δ Find reaction force at A and bending moment at the beam midpoint where the load P is applied (x=L) Use the deflection equation of the deformed beam element to determine the following at the beam mid-point (x=L/2): shear force, rotation, bending moment P y A B X 6