Structural Analysis

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Structural Analysis
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You may need to dismember or disassemble or
separate or take the members apart in the
structure. By dolny so, you can then analyze
(ie., fiyd the reactions , the internal forces,
. Etc.) the struentuve.
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If a system \ structure is in equilibrium, then
any part of it must be in equilibrium.
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• Truss
• Straight members.
• Connected at their extremities (ends) at joiuts.
• Loads applied at jonits only.
• Weights are neyleeted or assumed to be applied to
  the joints (1\2w joint ).
• Joints are smoath pins (thus ho moment).

thus ho member is continuous threyh a joint
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From the assumptions above , it can be clouded
thud all truss members are TWO-FORCE members
which are under tension
or can pression ( c )
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• Simple Truss
• m 2n 3n of numbers

.etc.
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Truss Analysis by the method of joints
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To design truss , the ciulerud, fours in all
members out needed. One way to find them fours
is to write the equililyun equations for each
joint (partied). Fx 0 1 Fy
0 2 2-D pmtidy 2 eqs.
mas 2 unknows
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The reactions may or NOT may be needed !
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Zero Fours members In some members , it may
be possible to know that the members cuwies no
foru by inspection. These are callud zero-forue
members.
Then members. Two on the same line and on
include. no lard on the joint. The
indlud members is zero-forue number.
Two members. Not on the same line. Un loud on
the joint. Both are zero-forue members.
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Analysis of truss ly method of Sections.
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How? Pass a through the truss
which inters not move them 3 members , if
possible then 3 eqe of 3 numbers can be solved
for one of the two parts of the truss it is a
rigid body. Fx 0 1 Fy 0
2 M 0 3
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This method is usually used when the force(s) in
one or a few members is (are) desired.
Either of the reaction(s) at A or B is\am needed.
If the upper section is chosen , them no need to
find the reactions A and B. If the , them the
lower portion is seleeted , them the reactions at
A and B are needed.
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3-D Equip Fx 0 Fy 0 Fz 0
Mx 0 My 0 Mz 0 6 eqs 6
unk 3-D Supports and reaction
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