A skeleton structure is proposed for its suspension part of a motor sports car, as shown in Fig.Q1. The three members are made from the same material having Young's modulus E and cross section area A and are hinged. Assuming the skeleton system is fixed at joint B and simply supported at joint C, and subjected to a downward vertical load P=100KN, 1. (a) determine the stiffness matrix for each of all three members, AB, AC and BC; assemble the system stiffness matrix for the whole skeleton structure; (b) calculate the deflections of the structure at joints A and C using finite element method. (c) The element stiffness matrix [k], can be given, C SC -C? -SC AE [k], = s - SC -s? SC (each symbol having its customary meaning.) 600 В y X (All dimensions in mm) Fig.Q1 000

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A skeleton structure is proposed for its suspension part of a
motor sports car, as shown in Fig.Q1. The three members
are made from the same material having Young's modulus E
and cross section area A and are hinged. Assuming the
skeleton system is fixed at joint B and simply supported at
joint C, and subjected to a downward vertical load P=100KN,
1.
(a)
determine the stiffness matrix for each of all three members,
АВ, АС and BС;
(b)
assemble the system stiffness matrix for the whole skeleton
structure;
(c)
calculate the deflections of the structure at joints A and C
using finite element method.
The element stiffness matrix [k]g can be given,
C? SC -C² - SC
s' - SC -s²
AE
[k],
%3D
L
SC
(each symbol having its customary meaning.)
600
P
(All dimensions in mm)
Fig.Q1
00t
Transcribed Image Text:A skeleton structure is proposed for its suspension part of a motor sports car, as shown in Fig.Q1. The three members are made from the same material having Young's modulus E and cross section area A and are hinged. Assuming the skeleton system is fixed at joint B and simply supported at joint C, and subjected to a downward vertical load P=100KN, 1. (a) determine the stiffness matrix for each of all three members, АВ, АС and BС; (b) assemble the system stiffness matrix for the whole skeleton structure; (c) calculate the deflections of the structure at joints A and C using finite element method. The element stiffness matrix [k]g can be given, C? SC -C² - SC s' - SC -s² AE [k], %3D L SC (each symbol having its customary meaning.) 600 P (All dimensions in mm) Fig.Q1 00t
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