the deflection of a beam whose length is 6 m with the modulus of elasticity of E = 200 GPa and I = 98.0 ✕ 106 mm4. The beam is designed to carry a load of 13,000 N/m.What is the maximum deflection of the beam (in m)? (Enter the y-value where the beam is deflected the most.) The cantilevered beam shown in the figure below is used to support a load acting on a balcony.y =XThe deflection of the centerline of the beam is given by the following equation-wx²24EIwhere we have the following.(x2 - 4Lx + 6L2),X =WLy = deflection at a given x location (m)W = distributed load (N/m)E = modulus of elasticity (N/m²)I = second moment of area (m²)L = length of the beam (m)distance from the support as shown (m)

Given data: E = 200 GPa = 200×109 N/m2 I = 98×106 mm4 = 98×10-6 m4 distributed load, w = 13000 N/m…

Answered: the deflection of a beam whose length…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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the deflection of a beam whose length is 6 m with the modulus of elasticity of E = 200 GPa and I = 98.0 ✕ 10⁶ mm⁴. The beam is designed to carry a load of 13,000 N/m.

What is the maximum deflection of the beam (in m)? (Enter the y-value where the beam is deflected the most.)

The cantilevered beam shown in the figure below is used to support a load acting on a balcony.
y =
X
The deflection of the centerline of the beam is given by the following equation
-wx²
24EI
where we have the following.
(x2 - 4Lx + 6L2),
X =
W
L
y = deflection at a given x location (m)
W = distributed load (N/m)
E = modulus of elasticity (N/m²)
I = second moment of area (m²)
L = length of the beam (m)
distance from the support as shown (m)

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