- wx? y = -(x? 4Lx + 6L²) 24EI L Problem 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: 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 = 99.1×106 mm4 . The beam is designed to carry a load of 10,000 N/m. What is the maximum deflection of the beam?
![- wx?
y =
-(x?
4Lx + 6L²)
24EI](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe37769f-5325-485f-85a5-d5dc029620f8%2F0d157fbf-6164-4bf6-bb7d-35a0d9e932c8%2Fexmugg5_processed.png&w=3840&q=75)
![L
Problem 14.12](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fbe37769f-5325-485f-85a5-d5dc029620f8%2F0d157fbf-6164-4bf6-bb7d-35a0d9e932c8%2Ff9mz4l6_processed.png&w=3840&q=75)
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