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analysis 2 today we are seeing basic
fundamentals of structural analysis in
that we are seeing degree of
indeterminacy static and kinematic
concepts and introduction Hello friends
let's start with another subject this
name as structural analysis 2 in that
first we are seeing a basic fundamentals
of structural analysis in that today we
are seeing a degree of static and
kinematic indeterminacy introduction and
their concept so let's see in details
now see this is a this one is themed as
basic fundamentals of structural
analysis in that today we are seeing a
degree of static and kinematic
indeterminacy introductions and concepts
now first of all we see that degree of
indeterminacy why we are finding the
degree of indeterminacy because we have
to know whether the structure is stable
or unstable we are finding the degree of
indeterminacy to find whether the
structure is stable or structure is
unstable
now after that let's move on to further
the further will be types of
indeterminacy there are two types of
indeterminacy the first one will be
degree of static indeterminacy this name
as TS and degree of kinematic
indeterminacy is named as DK okay after
that that move on to furthers now see
what is degree of static indeterminacy
in degree of static indeterminacy we
will see a two types - sorry - parts
internal static indeterminacy means it
is a degree of internal static
indeterminacy is nothing but d s e+ its
external static indeterminacy TS i okay
this both are addition of these two will
get degree of static indeterminacy now
second one will be degree of kinematic
indeterminacy now let's see what is
kinetic indeterminacy it is defined as
the number of nonzero it is defined as
the number of nonzero joints
displacement of the structure this point
is very important displacement of this
structure on every joints we will see in
kinematics it also called as degree of
freedom is also called as nothing but
degree of freedom after that I have made
one formulas to get better understands
degree of indeterminacy important
formulates you will follow this formulas
to find es and D K this is nothing but
degree of static indeterminacy decays
that
a degree of kinematic indeterminacy now
we will deal with three types of problem
in this chapter the first one will be
beam and the third second one will be
frame and the third one will be truss in
static within static determinacy we will
see UDS e and d s IE d s he is nothing
but this is external and D si is nothing
but internal and kinematic whippet deals
with dk okay now in da c in beam we have
a formula of da c is nothing but r minus
3 minus 3 this 3 is nothing but this it
is a condition of equilibrium it is
nothing but it is a condition of
equilibrium means summation F X is equal
to 0 summation FY equal to 0 and moment
equal to 0 and this is nothing but
number of unknowns okay
now in frames formula will be of D s
will be same R minus 3 interest formula
will be same R minus 3 in DSC now in D
si the beam D si will be 0 in frame D si
will be 3 into CC is nothing but closed
loop interest formula will be M minus 2
J minus 3 now in kinematics we will
deals with 3 J minus R this is also 3 J
minus R this is 2 J minus R we will not
follow this two because we have in
question we have given the neglect the
external deformation and this formula is
very important to us we have to use only
this three formulas and this one we
cannot use this two formulas ok we will
solve directly decay in the problem only
I will explain you how will you solve
the D K means D s is nothing but d s c
plus D si and decay we can solve
directly in the problems now let's see
degree of kinematic indeterminacy D K in
fixed there is no the in fixed there is
no decay okay means degree of kinematic
indeterminacy will win 0 now in hinge
support it is 1 because it is 1 rotation
which duties in hinge it is 1 rotation
that is decay will be fun in roller if
we are using with
actual deformation DK will be - without
external deformation DK will be
neglecting external diffusion DK will be
one enroller also obviously can use the
one okay means in hinge also one in
roller also we get one now see where
internal hinge is there see internal
hinge internal hinge will be joint two
parts remember this pattern this member
means our DK will be 2 this is 1 and
this is 2 if internal hinge we will at
centre means 3 points are the 3 members
are there 1 2 & 3 so in that case this
is 1 DK this is second DK and this is
your third D K now in free end this is
your first DK and this is second DK in
free end we can use 1 or 2 decays now
after that lets see the full forms of
all the members now see this R is
nothing but number of unknown reactions
components are will be smaller will be
or this 3 we are written available
conditions of equation summation F X
equal to 0 summation of y equal to 0 and
moment equal to 0 plus additional
equation due to internal hinge or Li if
we are using internal hinge at that time
we can use the additional equation what
is that additional equation we can see
in the problems of link if any M will be
number of member j will be number of
joints and c will be number of closed
loops to better index can we can see
with the problem I hope you understands
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