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…

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 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.)

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter9: Deflections Of Beams

Section: Chapter Questions

Problem 9.5.9P: The cantilever beam AB shown in the figure has an extension BCD attached to its free end. A force P...

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

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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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