Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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For the simply supported beam and its cross section is shown, Determine: 1) The S.F. and B.M. diagrams; include the mathematical solution steps of S.F and B.M. 2) The position and magnitude of the maximum shearing force and bending moment. 3) The location of any point of contraflexure. 4) Determine the value of the side of the square ( a ) if the safe bending stress in the materials is equal to 100 MN/m. 5) Determine the maximum shearing stress in a section 1.3 m from A.
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- Consider the beam and loading shown. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. a.Identify all the equations that describe the shear over any portion of the beam. Solve the problem using the method of sections. b.Identify the correct shear diagram. Solve the problem using the method of sections. c.Identify all the equations that describe the bending-moment over any portion of the beam. Solve the problem using the method of sections. d.Identify the correct bending-moment diagram. Solve the problem using the method of sections.arrow_forwardLearning Goal: To determine the absolute maximum bending stress in a rectangular cross section that has a circular cutout and is subjected to unsymmetrical bending in the y- and z-directional planes, and to determine the angles of the neutral axes established by the applied moments. The rectangular cross section ABCD shown below has a circular cutout of diameter d = 50.0 mm through its center. The member is subjected to two externally applied moments M₁ = = 6.0 kN. m ·m and M₂ = 17.0 kNm at angles 0₁ = 35.0 degrees from the y axis in the yz plane and 02 = 25.0 degrees from the z axis in the yz plane, respectively. The rectangular cross section has a height of h = 230.0 mm and a width of w = 125.0 mm . ANNAN 2* M₁₁ W B M₂ Warrow_forward6. Finds the bending stress and equivalent bending load due to bending of a 6 x 19 (Fiber core) wire rope of ½ in. diameter around a 24 in. pitch diameter sheave.arrow_forward
- Part 1 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=6.0 kips/ft, a=5.0 ft, and b-17.0 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. Calculate the reaction forces B, and C, 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 B, = 0, it has been omitted from the free-body diagram.) A Answers: By= C₂ = i a Save for Later Part 2 B, eTextbook and Media Answers: B B (a) V= (b) V= # (c) V= (d) V= kips Determine the shear force acting at each of the following locations: (a) x = 5.0-ft (i.e., just to the left of support B) (b)x= 5.0+ ft (i.e.. just to the right of support B) (c)x=21.0ft (d) x = 22.0-ft (i.e., just to the left of support C)…arrow_forwardPart 1 ✓ Correct 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 a-2.00 m, b-5.75 m, PA-70kN, and Pc 100kN. 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. P₁ Calculate the reaction forces By and D, 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 B, O, it has been omitted from the free-body diagram.) y a Answers: 0,- B. 113871 56.129 8 b KN KN 4 Pe -I D D D₂ Part 2 ✓ Correct Determine the shear force acting at each of the following locations: (a) x-1 m (b)x=4m (c) x = 8.75 m Note that x = 0 at point A. When entering your answers, use the shear-force sign convention detailed in Section 7. Answers: (a) V= (b) V= (c) V- -70 43.871 -56.129 KN…arrow_forwardSo 873.7 it’s wrong . Determine the maximum value of the bending moment and enter your answer in N-m units.. Remember to also show all your workarrow_forward
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- Please show intermediate steps including free body diagrams, equations used, problem setup etc. so that your approach can be followedarrow_forward2. The simply supported beam below has the cross-sectional area shown. a. Draw the FBD (2 pts) b. Determine the absolute maximum bending stress in the beam (2 pts) Your Answer: -- Determine the bending-stress at points A & C. (1 pts) Your Answer: & Plot the bending-stress distribution acting over the beam's cross section (1 pts) c. Determine the absolute maximum shear-stress in the beam (2 pts) Your Answer: Determine the shear-stress at points A & C. (1 pts) Your Answer: & Plot the shear-stress distribution acting over the beam's cross section (1 pts) A 20 kN/m 4 m Designation mm x kg/m W150 x 14 Area mm- 1730 OB 4 mm 2 m 150 20 kN Web Depth thickness width by mm mm C Flange 4.32 100.0 thickness "f mm 5.5 ‒‒‒‒‒‒ ‒‒‒‒‒. H C X-X axis S 10 mm 10³ mm³ 6.84 91.2 A r mm 62.9arrow_forwardPLEASE ?? ANSWER ?Part 1 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 a= 3.00 m, b= S.00 m. PB= 35kN, and PC = 65kN. Construct the shear force and bending-moment diagrams on paper and use t he results to answer the quest ions in the subsequent parts of this GO exercise. Calculate the reaction forces Ay and Dy 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.) Please Answer: Ay = kN Dy = kN ?Part 2 Determine the shear force acting at each of the following locations: (a)x = 2 m (b)x =4m (c). x = 8 m Note that x = 0 at support A When entering your answers. use the shear-force sign convention detailed in Section 7.2. Please Answer: (a) V= kN (b) V=…arrow_forward
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