Use a simple test case, such as a fixed-free beam subjected to uniformly distributed loading, to discover if nodal moments due to distributed loading are applied to beam elements. Compare the finite element solution for free end displacement using 1 and 2 model elements to the classical beam theory answer of dy = wL4/(8EI), where w is the uniformly distributed loading, L is the total length of the beam, E is Young's modulus, and I is the principal moment of inertia evaluated about the axis for which bending is taking place
Use a simple test case, such as a fixed-free beam subjected to uniformly distributed loading, to discover if nodal moments due to distributed loading are applied to beam elements. Compare the finite element solution for free end displacement using 1 and 2 model elements to the classical beam theory answer of dy = wL4/(8EI), where w is the uniformly distributed loading, L is the total length of the beam, E is Young's modulus, and I is the principal moment of inertia evaluated about the axis for which bending is taking place
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![Use a simple test case, such as a fixed-free
beam subjected to uniformly distributed
loading, to discover if nodal moments due
to distributed loading are applied to beam
elements. Compare the finite element
solution for free end displacement using 1
and 2 model elements to the classical beam
theory answer of dy = wL4/(8EI), where w is
the uniformly distributed loading, L is the
total length of the beam, E is Young's
modulus, and I is the principal moment of
inertia evaluated about the axis for which
bending is taking place](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0bc215e1-6f1d-4eea-908e-21c45b5a6fd9%2F7c57a56c-3a60-4e70-a9e7-c5a414f8dfc9%2Fnyz7drp_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Use a simple test case, such as a fixed-free
beam subjected to uniformly distributed
loading, to discover if nodal moments due
to distributed loading are applied to beam
elements. Compare the finite element
solution for free end displacement using 1
and 2 model elements to the classical beam
theory answer of dy = wL4/(8EI), where w is
the uniformly distributed loading, L is the
total length of the beam, E is Young's
modulus, and I is the principal moment of
inertia evaluated about the axis for which
bending is taking place
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