The motor compartment rail must meet the package constraints imposed by thesuspension and powertrain. These constraints often force nonsymmetrical loadingand section shape. For the illustrations shown in a and b determine the deflectionat the tip of the beam and maximum direct stress and location for a 2000-N load.40 x 80 x 1.5 mm1 mEngine(a)Load application at centroid2|15°Section rotated 15°.Load application pointthrough centroid of section(b)Engine

Solution: The given problem can be solved by applying the flexural stress formula:

Answered: The motor compartment rail must meet…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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QUESTION 3 If the allowable bending stresses for a beam in one application is 6 kip/in2 in tension. The cross-section of the beam is W8 x 40. If the beam is 10 foot long and simply supported and has a concentrated load applied at x = 3 ft as shown below. • Generate the shear force and bending moment diagram in terms of P; • Based on the allowable maximum bending moment you just obtained above, calculate/ input the mazimm allowable value of the load P: please, pay attention to units, and calculate your answer to 1 decimal place.. 3 ft 7 ft kip.
Measures the effect of the cross-sectional shape of a beam on the beam’s resistance to bending stress and deflection. -moment of inertia -stress -strain -Center of gravity (CG)
Problem 2 (30 points): The formula for the deflection of the beam shown is: Wo y(x) = (-x5 + 5Lx-10L?x3 + 10L³x²) 120LEI Wo 15 x 107 N L = 2m %3D max m E = 7 × 1011 N m2 I = 6 x 10-4m Use the Newton-Raphson Method to determine the x location along the beam where the deflection is y(x) = 0.14 m. Use a starting guess of xo 1.2 m. Be sure to show your %3D calculation for the derivative of the function and your calculations you use to fill out the table. You only need to perform two iterations of the method, which means you should fill out the table below. Notice that y is defined as positive in the downward direction, which means that both the function and the target deflection are positive values in the coordinate system. y(xn) y'(xn) Xn+1 Step Xn 2.
Calculate the reaction forces on the bearing near the pulley and bearing at the far end of the shaft. Include a free body diagram and coordinates. Given the shaft length is 1 meter= Mass=40Kg Static load = 8600N Dynamic (running load) = 8400N Some hints:1. This solution will require you to draw known forces and find unknown reactions in 2perpendicular planes and then add the horizontal and vertical reaction forces asvectors to find the reaction force (hypotenuse).2. Bearings are usually mounted as near as possible to the ends of the shaft withoutfouling the other machine elements. The bearing at the far shaft end can be mountedat the 1 meter point. The bearing at the pulley end should allow clearance to assemblethe pulley.3. Bearing reaction forces are typically simplified as a single point load through thebearing centre.
Calculate the deflection at the centerline of the beam shown immediately after the cables are cut. beam weight only 400 mm 500 mm 774 mm 14 m- 100 mm 350 mm
Problem 9 only, solve carefully, include the units in every step and draw the diagram. Thanks! A force tangent to 1 foot diameter pulley is 5 KN and is mounted on a 2 inches shaft. Determine the torsional deflectionif G = 83 x 106 Kpa
PART 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 m, b=2.0 m, PB = 2 kN, PC = 2 kN, and MB = 20 kN-m. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. IMAGE* Calculate the reaction forces Ay and MA acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) IMAGE* PART 2 Determine the shear force acting at each of the following locations:(a) x = 0+ m (i.e., just to the right of fixed support A)(b) x = 3.5– m (i.e., just to the left of B)(c) x = 3.5+ m (i.e., just to the right of B)(d) x = 5.5– m (i.e., just to the left of C)When entering your answers, use the shear force sign convention.Answer:(a) V = ? kN.(b) V = ? kN.(c) V = ? kN.(d) V = ? kN. PART 3…
es A gear reduction unit uses the countershaft shown in the figure. Gear A receives power from another gear with the transmitted force FA applied at the 20° pressure angle as shown. The power is transmitted through the shaft and delivered through gear B through a transmitted force Fg at the pressure angle shown. For the steel countershaft specified in the table, find the deflection and slope of the shaft at point A. Use superposition with the deflection equations in Table A-9. Assume the bearings constitute simple supports. In the figure below, FA is 310 lbf and the diameter of the shaft (dshaft) is 1.29 in. dshaft Gear A 20-in dia. 16 in FA 20⁰ The deflection at point A is The slope at point A is 14 in 100 Gear B 8-in dia. rad. 9 in in. B FB 20°
Alt Gr Ctri 2. The force P is acting onto the beam ABC through the rigid arm BD. Considering the effects of P at the point B and using Singularity Functions determine the deflection of the end point C. (EI is constant for ABC). D L/2 L/2 SHOT ON MI 6 MI DUAL CAMERA
> Next question You can retry this question below A triangular distributed load of max intensity w-490 N/m acts on beam AB. The beam is supported by a pin at A and member CD, which is connected by pins at C and D respectively. Determine the reaction forces at A and C. Enter your answers in Cartesian components. Assume the masses of both beam AB and member CD are negligible. cc 030 BY NC SA 2016 Eric Davishahl Variable Value 6.6 m a b C D 11.88 m 4.95 m Values for dimensions on the figure are given in the following table. Note the figure may not be to scale. The reaction at A is A = -11268.69 N. The reaction at Cis C= 11268.69 N. 20 Submit Question Jump to Answer X2-3923.92 B X2+ -8451.52 H X X
A beam shaped as a rectangle, with a width represented by b and heightindicated by h, bears a centered load P over a span L that's simply supported.Represent the peak fv using the highest fb

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