1.3 (A). Define the terms shear stressand shear strain, illustrating youranswer by means of a simple sketch.Two circular bars, one of brass andthe other of steel, are to be loaded by ashear load of 30 kN. Determine thenecessary diameter of the bars (a) insingle shear, (b) in double shear, if theshear stress in the two materials mustnotexceed 50 MN/m2 and 100 MN/mZ respectively. C27.6, 19.5, 19.5,13.8mm.l11

Answered: 1.3 (A). Define the terms shear stress…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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1.3 (A). Define the terms shear stress and shear strain, illustrating your answer by means of a simple sketch. (Two circular bars.) one of brass and the other of steel, are to be loaded by a shear load of 30 kN. Determine(the necessary diametet of the bars (a) in single shear, (b) in double shear, if the shear stress in the two materials must not exceed 50 MN/m and 100 MN/m respectively. Ans: [27.6, 19.5, 19.5, 13.8mm.]
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1. Three vertical wires each 4.5m long hang in the same vertical plane from a horizontal ceiling and carry a mass of 203.9 kg between them at their lower ends. The two outside wires are steel and are 4mm in diameter and the middle wire is brass and has a diameter of 5mm. Find (i) the stress in each wire (ii) the load in Newtons carried by each wire and (iii) the elongation /stretch given E for steel is 200GPa and E for brass 100GPa
Ex. 5.3 At a point in the structural member, the stresses are represented as shown below. Employ Mohr's circle to determine (a) the magnitude and orientation of the principal stresses and (b) the magnitude and orientation of the maximum shear stress and associated normal stresses. In each case, show the results on a properly oriented element. Sol. YA 40 MPa 30 MPa 80 MPa
The normal and shear stresses acting on one plane passing through a point in a soil mass are 120 psi compression and 25 psi, respectively. On an orthogonal plane, the respective stresses are 40 psi compression and 25 psi. (a) Draw the Mohr’s circle for this stress condition. (b) What are the principal stresses? (c) Determine the angle between the plane on which the 120 psi stress acts and the major principal plane. (d) What is the maximum shear stress acting at the point?
Answer p1 and Part 2: Determine the shear force acting at each of the following locations:(a) x = 11.0- ft (i.e., just to the left of point B)(b) x = 11.0+ ft (i.e., just to the right of point B)(c) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the shear-force sign convention detailed in Section 7.2.Answers: a) V = ____ kips b) V = ____ kips c) V = ____ kips Part 3: Determine the bending moment acting at each of the following locations:(a) x = 11.0 ft (i.e., at point B)(b) x = 28.5 ftNote that x = 0 at support A. When entering your answers, use the bending-moment sign convention detailed in Section 7.2. Answers: a) M = ____ kips-ft b) M = ____ kips-ft Part 4: Use your shear-force and bending-moment diagrams to determine the maximum bending moment, Mmax, and its location, xmax. Use the bending-moment sign convention detailed in Section 7.2.Answers: Mmax = ____ kips-ft xmax = ____ ft
2.2. The stress at a point is defined by the components Ox=7 ksi, Oyy=10 ksi, ơxy -20 ksi. Sketch the corresponding Mohr's circle and hence find the maximum Oyx in-plane shear stress and the orientation of the planes on which it acts. Illustrate your answer with a sketch of an appropriately rotated rectangular element, taking care to indicate the correct direction for the shear stress on these planes.
The thickness of the bracket is 0.75 in. Draw a neat Mohr's circle 3 kips for the state of stress at point K, and use the Mohr's circle to determine 30 K. 2.5 in. (a) the principal stresses at K, (b) the maximum in-plane shear stress and average normal 2 in. 5 in: stress at K. Sketch the answers on correctly rotated elements.
Mohr's Circle The major and minor principal stresses acting at a point are 80 psi compression and 20 psi tension. (a) Draw the Mohr's circle for this stress combination. (b) What is the maximum shear stress acting at the point, and what value of normal stress acts on the plane? (c) Determine the value of the shear and normal stress acting on a plane that is 30° from the major principal plane. kindly answer the following with a complete solution so that i can understand how to solve it. thank you
1.2 A hollow circular short column of outside diameter 300 mm and thickness 10 mm carries a load of 1000 kN. Determine at what eccentricity along a diameter can the load be placed if the permissible stresses are 150 N/mm2 in compression and 80 N/mm2 in tension.
A ship's propeller shaft is 5 inches in diameter. The thrust load is 12,000 lb and the torque is 150,000 in - lb. Determine the resultant maximum shearing and compressive ( tensile ) stresses.
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