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Chapter 11: Statically Indeterminate Beams
M11.4: Indeterminate Beam with Elastic Support
Geometry of Deformation for the Post
State the Problem
Table of Contents
Beam Free-Body Diagram
Plan the Solution
Split Loading into Two Cases
Case 1 Deflection
Case 2 Deflection
If C Were a Rigid Support
Post (1) Is an Elastic Support
Force-Deformation for Post (1)
Geometry of Deformation for the Post
Geometry of Deformation for the Beam
Compatibility Equation
Solve For C
y
Beam Equilibrium Equations
Summary of Beam Reaction Forces
scene
11
of
16
Next, the deformation
δ
1
in the post will be related to the deflection of the beam at
C
(i.e.,
V
C
).
