A5_ELEC462

QUESTION #1 A beam AB is simply supported at the ends and carries two points having a magnitude of 5 kN each. The beam length is 10 m, the point loads are 3 m and 7 m from end A support. In addition. the beam carries a UDL of 1.000 N/m between the two point loads. Draw the SF and BM diagrams. (Show each section of the beam and each section equation for each diagram). UDL w 1000 N/m 5 kN A 5 kN B

15 A cantilever beam of uniform cross section and length L bears a concentrated load P at its free end. A tensile force F also acts at the free end in the direction of the undeflected beam. By choosing coordinates as shown in Fig. 2.9, find the equation of the deflection curve of the beam, and the deflection of the free end relative to the fixed end. P (х. у) F +

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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. 

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PART 1 1. Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=5 ft and w = 11.5 kips/ft. IMAGE* 2. Calculate the reaction forces Ay and Cy 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* Answers: Ay = ?  kips, Cy = ? kips PART 2 Determine the shear force acting at each of the following locations:(a) x = 0+ ft (i.e., just to the right of support A)(b) x = 11 ft(c) x = 14.333333333333 ftWhen entering your answers, use the shear force sign convention.Answer:(a) V =  ? kips.(b) V =  ? kips.(c) V =  ? kips. PART 3 The shear-force diagram crosses the V = 0 axis between points A and B. Determine the location x where V = 0 kips.Answer: x = Enter your answer in accordance to the question statement ft. PART 4 Determine the maximum bending moment that acts anywhere…

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.

1. A simply supported beam with length of 5 Meters is loaded with a counterclockwise couple of 5 KN.M at I Meter from the left support and a point load of 5 KN at 3 Meters from the left support. The beam is an I-Section with the following dimensions: bf = 250 MM tf = 16 MM tw = 10MM d = 350 MM Determine the MaxiMUM tensile and compressive bending stress developed in the beam. 2. A simply supported beam with a length of 4M is loaded with a uniform distributed load (w). The beam has a rectangular hollow section with the following dimensions: Outer Base = 150 MM Outer Depth = 200 MM Inner Base = 100 MM Inner Depth = 150 mm Determine the maximum uniformly distributed load which can be applied over the entire length of the beam if the bending stress is limited to 8 Mpa.

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a= 3.5 ft, b= 8.0 ft, t, c= 5.0 ft, d= 3.0 ft, w = 8.5 kips/ft and P = 54 kips. 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. P В D E b d For this loading, calculate the reaction forces A, and E, 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 A = 0, it has been omitted from the free-body diagram.) P B C E b d E, Answers: Ay = i kips, Ey = i kips.

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown.  Let a=5.8 ft, w=215 lb/ft, MD=6700 lb⋅ft, and P=1200 lb.  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.

Learning Goal: To determine the support reactions in a statically indeterminate beam using the moment- area method. Part A - Support reaction force at B The beam shown has length L = 15.0 ft and is loaded with the applied moment M = 210 kip - ft at B. Assume EI is constant. (Figure 1) Using the moment-area method, determine the magnitude of the unknown support reaction at B due to the applied moment. Express your answer to three significant figures and include appropriate units. > View Available Hint(s) ? |By| = |10.5 kip Submit Previous Answers

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