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PCE219
Final Exam
Fall 2007
NAME:___________________________________
(COMPLETE 4 OF THE 5 PROBLEMS)
DO NOT GRADE PROBLEM _________
Problem 1 (25 points).
The beam of length L shown below is fixed to the wall at the left and
on a roller at the right end.
It is subjected to a distributed load, which varies form zero to
q
0
,
and the bending stiffness is
EI
a.Draw a
FBD for the structure shown
below that would be used to determine
the reaction forces.
Write the appropriate
equilibrium equations to determine the
reaction forces.
b. Draw an appropriate FBD to determine
the forces in the beam acting at a
distance
x
from the left side.
Find an
expression for the bending moment,
M(x),
in terms of q, L and any reaction
forces introduced in part a.
L
EI
q
0
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Final Exam
Fall 2007
Problem 2 (25 points).
The truss below is subjected to 2 loads of magnitude P=100 N and is
supported at pins A and F.
Each bar is of length, L=5 m (The bars form equilateral triangles.)
Determine the force in Bar CD
P
A
B
C
D
E
F
G
P
L
typical
PCE219
Final Exam
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This note was uploaded on 11/02/2009 for the course PCE PCE 219 taught by Professor Coffin during the Spring '09 term at Miami University.
 Spring '09
 Coffin

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