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. 

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…

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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Question 1: Beam Analysis Two beams (ABC and CD) are connected using a pin immediately to the left of Point C. The pin acts as a moment release, i.e. no moments are transferred through this pinned connection. Shear forces can be transferred through the pinned connection. Beam ABC has a pinned support at point A and a roller support at Point C. Beam CD has a roller support at Point D. A concentrated load, P, is applied to the mid span of beam CD, and acts at an angle as shown below. Two concentrated moments, MB and Mc act in the directions shown at Point B and Point C respectively. The magnitude of these moments is PL. Moment Release A B с ° MB = PL Mc= = PL -L/2- -L/2- → P D Figure 1: Two beam arrangement for question 1. To analyse this structure, you will: a) Construct the free body diagrams for the structure shown above. When constructing your FBD's you must make section cuts at point B and C. You can represent the structure as three separate beams. Following this, construct the…

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