[If L=3508 mm, W=9189 N, E=80 GPa, Determine the deflection at the free end of the beam.]Step -3Which equation in the following choices most accurately represents the functional relationship between the value of the deflection v ( Units: mm) at half length (x=L/2) of the beam and the second moment of area about z-axis of the cross section, Izz ( Units: mm²):(Please note that " X = L/2" is the same as "X=L÷2".)Select one:O 1. v 588830960.433/IzzO 2. v=338836061.442/IzzO 3. v 119832265.632/IzzO 4. v 413214709.076/IzzO 5. v=287184222.808/IzzO 6. v=206607354.538/IzzO 7. v=66114353.452/IzzO 8. v 752050770.518/Izz

Answered: Image /qna-images/answer/ced5ceec-855e-4025-adb5-e9a3296e366f.jpg

Answered: [If L=3508 mm, W=9189 N, E=80 GPa,…

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 9.3.10P: A cantilever beam model is often used to represent micro-clectrical-mechanical systems (MEMS) (sec...

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A cantilever beam model is often used to represent micro-clectrical-mechanical systems (MEMS) (sec figure}. The cantilever beam is made of polysilicon (E = 150 GPa) and is subjected to an electrostatic moment M applied at the end of the cantilever beam. 1 f dimensions arc h — 2 [im, h — 4 ^m, and L = 520 ^mt find expressions for the tip deflection and rotation of the cantilever beam in terms of moment M.
What is the magnitude of the reaction force at RAX and RAY in Newtons What is the magnitude of the reaction force, RBX and RBY in Newtons.
and y vs. y (phase plot) 4. Consider the deflection v of the beam to the right. The beam is supported at each end and sags due to its own weight (a distributed load q = 50 kN/m). The equation describing the deflection is d'u qx (x- L) dx 2EI where L=5.0 m, I = 0.0052 m* and E = 1.0x1010 Pa. Use the method of your choosing (shooting or finite differences) to solve for: 1) the slope at each end of the beam; 2) the maximum deflection; and 3) the location of maximum deflection.
The cantilever beam consists of a rectangular structural steel tube shape [E = 28000 ksi; I = 530 in.4]. Use double integration to determine:(a) the beam deflection vB at point B. [ Answer: vB = -.424 in](b) the beam deflection vC at point C. [ Answer: vC = -.894 in]Assume P = 12.9 kips, w = 2.7 kips/ft, LAB = 7.0 ft, LBC = 4.3 ft.
1. Figure Q1 shows a cantilever beam ABCDE subjected to a uniformly distributed load, w from points B to C. There are also a point load and a bending moment at points D and E, respectively. By using Macaulay's method; a) Develop the deflection equation in terms of w, L, E and I. Take point A as the origin. b) Given that EI = 100×106 Nm? and L = 8m, determine the value of w so that the vertical deflection at point C is 2.5 mm. c) Then, develop the slope and deflection functions if a roller support is added at point E. Take w = 600 N/m. P=: 16 W M=wL² 32 A B C E L/4 L/2 L/8 L/8 Figure Q1 [Ans: b) w = 601.44 N/m]
QUESTION 3 Given the beam shown in Figure Q3, calculate the reaction at point A, consider El to be constant. Wo Deformed Shape A B Figure Q3: Beam QUESTION 4 Determine the equivalent distributed load associated with the beam shown in Figure Q4. Determine the shear, moment, slope, and deflection equations, using the Macaulay functions and the singularity functions. 400N/m 20000NM 10m 5m 5m 2000N 2000N Figure Q4; Beam
A simply supported I-beam is loaded with a distributed load, as shown. The deflection, y, of the center line of the beam as a function of the position, x, is given by the equation: Wo L where L=4 m is the length, E=5 GPa is the elastic modulus, I=60 x 10^(-6) m^4 is the moment of inertia, and wo=20 kN/m. Find the position x where the deflection of the beam is maximum in meters. Express your answer in meters with six decimal digits after decimal point. Wox 360LEI ... y = -(7L4 – 10L²×² + 3x*)
Please help with this deflection problem
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For the beam and loading shown in Figure 5, determine the value of (r) at the point of action of the resuitant force of the distributed load using point B as the origin. Parabola Vertex 2000 N/m 900 N/m B 6 m A Figure 5: A parabolic distributed load on a beam AB. Answer: If the loading were analysed using point A as the origin, would the value of w at the location of the resultant change? Select one: a. No b. Yes
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.)

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