VM1

VM1
Statically Indeterminate Reaction Force Analysis

Overview

Reference:	S. Timoshenko, Strength of Material, Part I, Elementary Theory and Problems, 3rd Edition, D. Van Nostrand Co., Inc., New York, NY, 1955, pg. 26, problem 10.
Analysis Type(s):	Static Analysis (ANTYPE = 0)
Element Type(s):	3D Spar (or Truss) Elements (LINK180)
Input Listing:	vm1.dat

A prismatic bar with built-in ends is loaded axially at two intermediate cross-sections by forces F₁ and F₂. Determine the reaction forces R₁ and R₂.

Figure 1: Prismatic Bar Problem Sketch

Material Properties

Geometric Properties

E = 30 x 10⁶psi

= 10 in.

a = b = 0.3

F₁ = 2F₂ = 1000 lb

Nodes are defined where loads are to be applied. Since stress results are not to be determined, a unit cross-sectional area is arbitrarily chosen.

	Target	Mechanical APDL	Ratio
R₁ , lb	900.0	900.0	1.000
R₂ , lb	600.0	600.0	1.000