(If L=3508 mm, W-9189 N, E=80 GPa, Determine the deflection at the free end of the beam.)Step-4Which equation in the following choices most accurately represents the functional relationship between the value of the deflection, Vmax ( Units: mm) at the freeend (XL) of the beam and the second moment of area about z-axis, Izz (Units: mm²) of the cross section ?(Please note that " X = L/2" is the same as "X = L ÷ 2" .)Select one:O 1. Vmax 1776823249.026 / IzzO 2. Vmax 516518386.345/IzzO 3. Vmax=743786476.336/IzzO 4. Vmax 1002045669.509/IzzO 5. Vmax 330571767.261/IzzO 6. Vmax 196276986.811 / IzzO 7. Vmax 1435921114.038/Izz

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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 counterclockwise moment M0acts at the midpoint of a fixed-end beam ACB of length L (see figure). Beginning with the second-order differential equation of the deflection curve (the bendingmoment equation), determine all reactions of the beam and obtain the equation of the deflection curve for the left-hand half of the beam. Then construct the shear-force and bending-moment diagrams for the entire beam, labeling all critical ordinales. Also, draw the deflection curve for the entire beam.
-22 Derive the equations of the deflection curve for a simple beam AB with a distributed load of peak intensity q0acting over the left-hand half of the span (see figure). Also, determine the deflection cat the midpoint of the beam. Use the second-order differential equation of the deflection curve.
A fixed-end beam AB of a length L is subjected to a uniform load of intensity q acting over the middle region of the beam (sec figure). Obtain a formula for the fixed-end moments MAand MBin terms of the load q, the length L, and the length h of the loaded part of the beam. Plot a graph of the fixed-end moment MAversus the length b of the loaded part of the beam. For convenience, plot the graph in the following nondimensional form: MAqL2/l2versusbL with the ratio b/L varying between its extreme values of 0 and 1. (c) For the special case in which ù = h = L/3, draw the shear-force and bending-moment diagrams for the beam, labeling all critical ordinates.
A fixed-end beam AB of a length L supports a uniform load of intensity q (see figure). Beginning with the second-order differential equation of the deflection curve (the bending-moment equation), obtain the reactions, shear forces, bending moments, slopes, and deflections of the beam. Construct the shear-force and bending-moment diagrams, Labeling all critical ordinales.
A fixed-end beam AB carries point load P acting at point C. The beam has a rectangular cross section (b = 75 mm, h = 150 mm). Calculate the reactions of the beam and the displacement at point C. Assume that E = 190 GPa.
-6 Calculate the maximum deflection of a uniformly loaded simple beam if the span length L = 2.0 m, the intensity of the uniform load q = 2.0 kN/m, and the maximum bending stress = 60 MPa, The cross section of the beam is square, and the material is aluminum having modulus of elasticity E = 70 GPa. (Use the formulas of Example 9-1.)
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.
[If L=3508 mm, W-9189 N, E=80 GPa, Determine the deflection at the free end of the beam.] Step -2 Which equation in the following choices most accurately represents the functional relationship between the value of the slope O (Units: Radian) at half length (x = L/2) of the beam and the second moment of area about z-axis, Izz (Units: mm²), of the cross section? (Please note that " X = L/2" is the same as "X = L ÷ 2" .) Select one: O 1.0 448787.925/Izz O 2.0 279167.292/Izz O 3.0 38871.395/Izz O 4.0 114847.304/Izz O 5.0 176688.160/Izz O 6.0 609574.150/Izz O 7.0 70675.264/Izz
The cantilever is subjected to a point force "P" in the middle of the beam span. The beam's modulus of elasticity, E-200 GPa and moment of inertia, l= 6x10^6 mm^4, are the same at every point. Accordingly, in which option is the maximum deflection (vertical displacement) in the beam given in "mm"? P= 12 kN, L= 2.8 m.
Please no hand writing solution
For the beam and loading shown, use the double-integration method to determine (a) the equation of the elastic curve for the beam, (b) the slope at A, (c) the slope at B, and (d) the deflection at midspan. Assume that El is constant for the beam. Let Mo = 50KN-m, L= 4.5 m, E= 180 GPa, and I = 115x 106 mm4. Mo B Answer: (b) 0A = i rad (c) Og = i rad (d) vmid = i mm
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