1.Derive a relation for the shear stress developed in a shaft, when it is subjected to torsion.2. State the assumptions made in deriving a bending formula.CTorsional and Bending Stresses in Machine Parts▪ 1793. Prove the relation: M/I= G/y= E/Rwhere M = Bending moment; I= Moment of inertia; o = Bending stress in a fibre at a distance y fromthe neutral axis; E = Young's modulus; and R = Radius of curvature.4. Write the relations used for maximum stress when a machine member is subjected to tensile or com-pressive stresses along with shearing stresses.5. Write short note on maximum shear stress theory verses maximum strain energy theory.6. Distinguish clearly between direct stress and bending stress.7. What is meant by eccentric loading and eccentricity?8. Obtain a relation for the maximum and minimum stresses at the base of a symmetrical column,when it is subjected to(a) an eccentric load about one axis, and (b) an eccentric load about two axes.

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1. Derive a relation for the shear stress developed in a shaft, when it is subjected to torsion.

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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Part 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…
Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force Vand the bending moment M for any location in the beam. (Place the origin at point A) Let w - 3.5 kips/ft, a-10.0 ft, and b-24.5 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. Calculate the reaction forces By and Cyacting 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.) Answers: By- kips kips Part 2 Determine the shear force acting at each of the following locations: (a) x - 10.0- ft (ie, just to the left of support B) (b) x - 10.0+ ft (i.e, just to the right of support B) (c) x- 33.5 ft (d) x = 34.5- ft (i.e., just to the left of support C) Note that x- 0 at point A. When entering your answers, use the shear-force sign…
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)…
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-7.0 ft, b-21.5 ft. P-35 kips and w- 7.0 kips/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 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 A, -0, it has been omitted from the free-body diagram.) Answers: Cy- kips kips Part 2 Determine the shear force acting at each of the following locations: (a) x-7.0-ft (i.e., just to the left of point B) (b)x - 7.0+ ft (i.e., just to the right of point B) (c)x-26.5 ft Note that x-O at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2. Answers: (a) V-…
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3. Prove the relation: M/I = o/y = E/R where M = Bending moment; = Moment of inertia; o = Bending stress in a fibre at a distance y from the neutral axis; E = Young's modulus; and R = Radius of curvature.
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 = 9.5 kips/ft, a=10.5 ft, and b=22.0 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. Your answer is partially correct. Answers: By= Cy= Calculate the reaction forces By 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 Bx = 0, it has been omitted from the free-body diagram.) a 231.1875 B i 77.1875 W B b W b kips kips Cy X
1. Determine the resultant internal loadings acting on the cross section at B of the pipe shown. End A is subjected to a vertical force P and a horizontal force Q. Use P = 95 N and Q = 75 N. 0.75 m B `0.5 m D. D> P 1.25 m A Determine the internal axial force (in N) in section B. * Your answer Determine the internal shear force (in N) in section B. * Your answer
6. 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.
v 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=9.5 ft, b=20.0 ft, P = 45 kips and w = 10.0 kips/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. a b Calculate the reaction forces A, 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 A, = 0, it has been omitted from the free- body diagram.) B C a b. Answers: Ay = kips kips
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=11.5 ft, b-5.0 ft, c= 8.0 ft, w = 7 kips/ft and M = 250 kip-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. A Answers: Ay = Calculate the reaction forces Ay 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 Ax = 0, it has been omitted from the free-body diagram.) Cy= Part 2 Answers: (a) V= (c) V= (b) V- i i (e) V- (d) V- i Part 3 (a) M- i 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 11.5 ft (i.e., at point B) (c) x 16.5-ft (i.e., just to the left of the support C) (d) x = 16.5+ ft (i.e., just to…
For the shaft section depicted in Figure Ql.13, a shear force acts in the y direction, Vy, and a moment acts about the z axis, M₂. Which of the following stress elements represents the stress state at Point A on this section, on the y axis between the top surface of the beam and its neutral axis? Note the stresses on the negative faces of the following stress elements are not shown. "Don Figure Ql.13 a. O b. N M₂ T