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

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Beams
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning