Q3) A Cantilever beam shown in figure Q3 is used to support a load acting on a balcony. The deflection of the centerline of the beam is given by the following equation:- -wx? y = 24EI -(x² – 4Lx + 6L? ) Where y = deflection at a given x location (m). w = distributed load. E = modulus of elasticity (N/m²) I = second moment of area (m*) x = Distance from the support as shown (m) L = length of the beam (m) Figure Q3 What is the appropriate unit for w, if the preceding equation is to be homogenous in units? Show all steps of your work.

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Q3) A Cantilever beam shown in figure Q3 is used to support a load acting on a balcony. The deflection
of the centerline of the beam is given by the following equation:-
-wx?
y =
(x² – 4Lx + 6L² )
24EI
Where
y = deflection at a given x location (m).
w = distributed load.
E = modulus of elasticity (N/m²)
I = second moment of area (m*)
x = Distance from the support as shown (m)
L = length of the beam (m)
Figure Q3
What is the appropriate unit for w, if the preceding equation is to be homogenous in units? Show all
steps of your work.
Transcribed Image Text:Q3) A Cantilever beam shown in figure Q3 is used to support a load acting on a balcony. The deflection of the centerline of the beam is given by the following equation:- -wx? y = (x² – 4Lx + 6L² ) 24EI Where y = deflection at a given x location (m). w = distributed load. E = modulus of elasticity (N/m²) I = second moment of area (m*) x = Distance from the support as shown (m) L = length of the beam (m) Figure Q3 What is the appropriate unit for w, if the preceding equation is to be homogenous in units? Show all steps of your work.
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