6.21 A cantilever 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 equation: - wx? y= -(x² – 4 Lx + 6L²) 24 EI where y = deflection at a given x location, (m) w = distributed load E = modulus of elasticity (N/m²) I = second moment of area (m²) x = distance from the support as shown (m) L = length of the beam (m) What is the appropriate unit for w if the preceding equation is to be homogeneous in units? Show all steps of your work. Problem 6.21 A cantilever beam.
6.21 A cantilever 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 equation: - wx? y= -(x² – 4 Lx + 6L²) 24 EI where y = deflection at a given x location, (m) w = distributed load E = modulus of elasticity (N/m²) I = second moment of area (m²) x = distance from the support as shown (m) L = length of the beam (m) What is the appropriate unit for w if the preceding equation is to be homogeneous in units? Show all steps of your work. Problem 6.21 A cantilever beam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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For the cantilever beam relationship given in Problem 6.21, if the units of y, w, E, x , and L are expressed in in., lbf⁄in, lbf⁄in2 , in., and in., respectively, what are the appropriate units for I ?
Transcribed Image Text:6.21 A cantilever 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 equation:
- wx?
y=
-(x² – 4 Lx + 6L²)
24 EI
where
y = deflection at a given x location, (m)
w = distributed load
E = modulus of elasticity (N/m²)
I = second moment of area (m²)
x = distance from the support as shown (m)
L = length of the beam (m)
What is the appropriate unit for w if the
preceding equation is to be homogeneous in
units? Show all steps of your work.
Problem 6.21 A cantilever beam.
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