3. (hint-one region determinate) y, v(x) L Wo B X For each beam: a) draw a free body diagram and write down the summation of forces in the y-direction and summation of moments about a point (any point you want to pick that is convenient) b) indicate if the beam is statically determinate or statically indeterminate c) determine if matching boundary conditions (BC's) are required and how many segments there are in the beam (i.e. how many individual moment equations are required to described the internal moment of the beam) d) write down the support boundary conditions of the beam e) if matching boundary conditions are required, write them down f) determine the moment equation as a function of x for each segment of the beam g) integrate Elv" = M for each segment to first determine Elv' and then Elv (where v' is the slope equation and v is the deflection equation) while accounting for the necessary constants of integration h) apply the support BC's and, if appropriate, any apply any matching BC's. i) list the number of unknowns in your equations and label the equations from part h (and any statics equations) that would need to be used to find the support reactions and constants of integration

Elements Of Electromagnetics
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3. (hint-one region determinate)
y, v(x)
L
Wo
B
X
Transcribed Image Text:3. (hint-one region determinate) y, v(x) L Wo B X
For each beam:
a) draw a free body diagram and write down the summation of forces in the y-direction and
summation of moments about a point (any point you want to pick that is convenient)
b) indicate if the beam is statically determinate or statically indeterminate
c) determine if matching boundary conditions (BC's) are required and how many segments
there are in the beam (i.e. how many individual moment equations are required to
described the internal moment of the beam)
d) write down the support boundary conditions of the beam
e) if matching boundary conditions are required, write them down
f) determine the moment equation as a function of x for each segment of the beam
g) integrate Elv" = M for each segment to first determine Elv' and then Elv (where v' is the
slope equation and v is the deflection equation) while accounting for the necessary
constants of integration
h) apply the support BC's and, if appropriate, any apply any matching BC's.
i) list the number of unknowns in your equations and label the equations from part h (and any
statics equations) that would need to be used to find the support reactions and constants of
integration
Transcribed Image Text:For each beam: a) draw a free body diagram and write down the summation of forces in the y-direction and summation of moments about a point (any point you want to pick that is convenient) b) indicate if the beam is statically determinate or statically indeterminate c) determine if matching boundary conditions (BC's) are required and how many segments there are in the beam (i.e. how many individual moment equations are required to described the internal moment of the beam) d) write down the support boundary conditions of the beam e) if matching boundary conditions are required, write them down f) determine the moment equation as a function of x for each segment of the beam g) integrate Elv" = M for each segment to first determine Elv' and then Elv (where v' is the slope equation and v is the deflection equation) while accounting for the necessary constants of integration h) apply the support BC's and, if appropriate, any apply any matching BC's. i) list the number of unknowns in your equations and label the equations from part h (and any statics equations) that would need to be used to find the support reactions and constants of integration
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