The cantilevered beam shown in the accompanying figure is used to support a load acting on a balcony. The deflection of the centerline of the beam is given by the following equation
where
y = deflection at a given x location (m)
w = distributed load (N/m)
E = modulus of elasticity (N/m^2)
I = second moment of area (m^4)
x = distance from the support as shown (x)
L = length of the beam (m)
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14.12 The cantilevered beam shown in the accompanying figure is used to support a
load acting on a balcony. The deflection of the centerline of the beam is given by
the following equation
( 4 6 )
24
2 2
2
x Lx L
EI
wx
y ? ?
?
?
where
y = deflection at a given x location (m)
w = distributed load (N/m)
E = modulus of elasticity (N/m2)
I = second moment of area (m4)
x = distance from the support as shown (x)
L = length of the beam (m)
Using Excel, plot the deflection of a beam whose length is 5 m with the modulus of elasticity of E 200 GPa and I = 99.1 x 106 mm^4. The beam is designed to carry a load of 10,000 N/m. What is the maximum deflection of the beam?
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