A5_ELEC462

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…

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.

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=3.5 ft, b=9.0 ft, c=4.0 ft, d=3.5 ft, w = 5.5 kips/ft and P = 45 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. For this loading, calculate the reaction forces Ay and Ey 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.) Ay =___________ kips, Ey = __________  kips.   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 = 3.5 ft(c) x = 12.5 ft(d) x = 16.5– ft (i.e., just to the left of D)(e) x = 16.5+ ft (i.e., just to the right of D)(f) x = 20.0– ft (i.e., just to the left of support E) Answer: a to f )  V = ________ kips   Use the graphical…

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.

2) A simply supported beam is constructed in a way that a roller support is at the left end of the beam and a pin support is at the right end of the beam. The length of the beam is 5m and the beam is acted upon by a couple moment of 50kNm at its mid-length. The circular solid cross-section of the beam has a diameter of 8cm. The modulus of elasticity of the beam is 180GPA. Using the conjugate-beam method, calculate (a) the maximum displacement at the mid-length of the beam and (b) the slope at the point where the roller support is set (left end of the beam).

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= 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 Calculate the maximum bending moment (i.e., either positive or negative) that occurs between points B and C. When entering your answers, use the bending moment sign convention. Answers: M = i kip-ft.

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 d Use the graphical method to determine the bending moment acting at B (i.e., x = 3.5 ft). When entering your answers, use the bending moment sign convention. Answer: MB = i kip-ft.

Question 3 The statically indeterminate beam shown in Fig. 3 has flexural rigidity El=4 MN-m². A is fully fixed and B is supported by a roller. P=14KN and w=7kN/m. Using Macauley's double integration method, 1) Calculate the reaction force at support B. 2) Calculate the reaction force at support B when the support B settles vertically downward through a distance of 8.0mm. C Flm- 2m +1 m→-1 m Fig. 3

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 d The shear-force diagram crosses the V = 0 axis between points B and C. Determine the location x (measured from A) where V = 0 kips. Answer: x = i ft.

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

Part 1 Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=11 ft, b=6 ft and w = 11 kips/ft. Calculate the reaction forces A, 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.) Answers: Ay= kips, Cy= kips. Touthook dio b C

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.0 ft, c=4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 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. A A a B a B W Answers: Ay = i b d For this loading, calculate the reaction forces Ay and Ey 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.) W с b C C P C D P kips, Ey = d E i E X 'y x kips.

Consider the beam in the picture below: 7kN/m 5kN/m P N/m Section 1 Section 2 Section 3 - L/3 L/3 L/3 %3D Take P = the last four digits of your student number in N/m. If P<250 N/m then take P = 30OON/m instead. Take L = the third digit of your student number, reading left to reight. If this value is zero then take L = 2 Assume: The reaction at the Pin = V pin 47000L+9PL )N 54 The reaction at the Roller = Vroller = 61000L+9PL 54 and that both reactions act vertically upwards. a) Find an expression for the internal moment for Section 1. Show all working and any relevant free body diagrams. b) What is the maximum magnitude of the internal moment for Section 1? Mark sure you prove that the value you calculate is the maximum. c) Find an expression for the internal moment for Section 2. Show all working and any relevant free body diagrams. d) What is the maximum magnitude of the internal moment for Section 2? Mark sure you prove that the value you calculate is the maximum. e) Find an…

For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let w = 20.0 kips/ft, a=6.0 ft, and b=20.5 ft. 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. y A A Answers: By a = Calculate the reaction forces By 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 Bx = O, it has been omitted from the free-body diagram.) = a i B Cy i = W B b W b kips X kips X

Question 1 A propped cantilever beam is loaded by a bending moment of the magnitude MB at the point B as shown in Figure Q1. The cross-section of the beam is a rectangle of the width w and the hight h that are constant along the length of the beam L. The beam material's Young's modulus is Q. X Figure Q1 Assuming the positive deflections and positive vertical reaction forces are upward, calculate O the value of the reaction forces at ints A and B the absolute value of the reaction bending moment at point A (a) Let R represent the reaction force at Support B. By releasing the beam at Support B and imposing a force R at Point B, the deflection of the beam consists of two parts,i.e. Part I- the deflection caused by MB; Part II- the deflection caused by R Please treat R, w, h, L, E as variables in this step, the mathematical equation for the deflection at Point B caused by R (Part II) can be written as (Hint: to input equation R²L Qwh you can type (R^2*L)/(Q^2*w*h))

Use the graphical method to construct the shear-force and bending-moment diagrams for the beam shown. Let a=4.0 ft, b=8.0 ft, c=4.0 ft, d=3.0 ft, w = 6.5 kips/ft and P = 45 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. a B a W B W C b d For this loading, calculate the reaction forces Ay and Ey 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.) b C C P C D P Ľ E d E ·x Ey

Example 5: Draw the shear force and bending moment diagrams for the simply supported beam as shown below. 400 N 500 N 300 N A 3m 4m 4m 5m

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