body force törs. (c) Assemble the structural stiffness matrix K and global load vector F. (d) Using the elimination approach, solve for the global displacement vector Q. (e) Evaluate the stresses in each element.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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Consider the thin (steel) plate in figure given below. The plate has a
uniform thickness t=1 cm., Young's modulus E= 25 x 10° N/cm?, and
weight density p= 0,2448 N/cm³. In addition to its self-weight, the plate
is subjected to a point load P = 200 N at its midpoint.
(Please be careful for the units.)
(a) Model the plate with two
finite elements.
12 cm
(b) Write down expressions for
the element stiffness matrices and
18 cm
element body force vectors.
(c) Assemble the structural
stiffness matrix K and global load
36 cm
vector F.
P =200N
(d) Using the elimination
approach, solve for the global
displacement vector Q.
(e) Evaluate the stresses in each
element.
X
6 cm
Transcribed Image Text:Consider the thin (steel) plate in figure given below. The plate has a uniform thickness t=1 cm., Young's modulus E= 25 x 10° N/cm?, and weight density p= 0,2448 N/cm³. In addition to its self-weight, the plate is subjected to a point load P = 200 N at its midpoint. (Please be careful for the units.) (a) Model the plate with two finite elements. 12 cm (b) Write down expressions for the element stiffness matrices and 18 cm element body force vectors. (c) Assemble the structural stiffness matrix K and global load 36 cm vector F. P =200N (d) Using the elimination approach, solve for the global displacement vector Q. (e) Evaluate the stresses in each element. X 6 cm
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