[wo thick-walled cylinders are mated with no gap or interference. Initial he inner cylinder has an inner radius a and outer radius b, whereas the out cylinder has an inner radius b and outer radius c. The inner cylinder is of material with a modulus of elasticity E; and a Poisson's ratio v;, whereas t outer cylinder is of a material with a modulus of elasticity E, and a Poisson ratio vp. The inside of the inner cylinder is then subjected to a pressure p¡. a) Determine the equation for the resulting interface pressure p at r = b. b) If p; = 1 MPa, E; = 210 GPa, v; = 0.3, E, = 105 GPa, v, = 0.32, a = 200 mm, determine and plot the 100 mm, b = 150 mm, and c

[wo thick-walled cylinders are mated with no gap or interference. Initial he inner cylinder has an inner radius a and outer radius b, whereas the out cylinder has an inner radius b and outer radius c. The inner cylinder is of material with a modulus of elasticity E; and a Poisson's ratio v;, whereas t outer cylinder is of a material with a modulus of elasticity E, and a Poisson ratio vp. The inside of the inner cylinder is then subjected to a pressure p¡. a) Determine the equation for the resulting interface pressure p at r = b. b) If p; = 1 MPa, E; = 210 GPa, v; = 0.3, E, = 105 GPa, v, = 0.32, a = 200 mm, determine and plot the 100 mm, b = 150 mm, and c

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

See similar textbooks

Similar questions

A helical compression spring is wound using 4 mm-diameter Chrome-vanadium wire. The spring has an outside diameter of 28 mm with squared and ground ends, and 14 total coils: (a) What should the free length be to ensure that when the spring is compressed solid the torsional stress does not exceed the yield strength, that is, that it is solid-safe? (b) What force is needed to compress this spring to closure? (c) Estimate the spring rate. (d ) Is there a possibility that the spring might buckle in service?
A hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.219 in. is fastened to a solid 2.00-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=18 kips, Q=10 kips, L1=6 ft, L2=7 ft, and L3=7 ft. (A) Calculate the cross-sectional area of steel tube (1), A1, and the cross-sectional area of the aluminum rods (2) and (3). in inches squared (B) Find the force in the steel tube (1), F1, and the forces F2 and F3, which are the forces in the aluminum rods. Use the correct sign for each force. By convention, a tension force is positive, and a compression force is negative. IN kips (C) Find σ1, σ2, and σ3, the normal stresses in members (1), (2), and (3), respectively. By convention, a tension stress is positive, and a compression stress is negative. IN KSI (D) Determine δ1 and δ2, the deformations of members (1) and (2), respectively. By…
Rigid bar ABCD is loaded and supported. Bars (1) and (2) are unstressed before the load P is applied. Bar (1) is made of bronze [E= 100 GPa] and has a cross-sectional area of 400 mm2. Bar (2) is made of aluminum [E= 70 GPa] and has a cross-sectional area of 600 mm2. After the load P is applied, the force in bar (1) is found to be 60 kN (in compression). Determine: (a) the stresses in bars (1) and (2).(b) the vertical deflection of point A.(c) the load P.
A bar, 12 mm in diameter is acted upon by an axial load of 20 kN. The change in diameter is measured as 0.03 mm. DeterminePoisson’s ratioYoung’s modulusBulk modulus Assume modulus of rigidity as 80 GPa
Figure Q3 shows a steel bar of diameter 16 mm and length 600 mm subjected to axial forces.If E = 210×103 N/mm2for steel, determine the change in its length.
1. A beam 3 m long weighing 400 N is suspended in a horizontal position by two vertical strings, each of which can withstand a maximum tension of 350 N only. How far a body of 200 N weight be placed on the beam, so that one of the strings may just break ? RA R 3 m C 200 N 400 N
A load P is supported by a structure consisting of rigid bar ABC, two identical solid aluminum alloy [E = 73 GPa] rods (1), and a solid bronze [E = 105 GPa] rod (2). The aluminum rods (1) each have a diameter of 10 mm and a length of L₁ = 2.7 m. They are symmetrically positioned relative to middle rod (2) and the applied load P. Bronze rod (2) has a diameter of 25 mm and a length of L₂ = 1.7 m. If all bars are unstressed before the load P is applied, determine the normal stresses in the aluminum and bronze rods after a load of P = 70 KN is applied to the rigid bar. L₁ B Answer: 01 = i 0₂ i L2 (2) (1) (1) MPa MPa
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 15800 ksi] rods, and a solid steel [E = 27600 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.62 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.41 in. Assume L₁=30 in and L₂-62 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P=32 kips is applied. Answers: 0₁ = 02 = i L₂ B ksi. ksi.
Topics Discussed: Static of Rigid Bodies, Equilibrium of a Particle, Position Vector, Force Vector Direction, etc. Reminder: Kindly show the complete step-by-step solution. Please make sure that your handwriting is understandable and the picture of the solution is clear. I will rate you with “like/upvote” after. I need the answer right away, thank you. Problem #1: A vertical force P = 20 lb is applied to the ends of the 2-ft cord AB and spring AC. If the spring has an unstretched length of 2 ft, determine the forces, and angle theta for equilibrium. Take k = 25 lb/ft.
The material is a spring wire has a shear modulus of 1.2 x 107 lbf/in2. The maximum allowable stress under design conditions is 50,000 lbf/in2. The spring index is 7. Assume the maximum stress is experienced when a 700 lbm object falls from a height of 46 in above the tip of the spring, impacts squarely on the spring, and deflects the spring 10 in. Determie:1. The minimum wire diameter is most nearlyA. 0.58 in B. 0.88 in C. 1.4 in D. 1.8 in2. The mean coil diameter is most nearlyA. 8.6 in B. 10 in C. 13 in D. 16 in3. The number of active coils is most nearlyA. 8 B. 11 C. 12 D. 14
0 4in Two ceramic balls are in contact, as shown. The top one is titanium nitride, for which E 15 Msi, and the one on the bottom is aluminum oxide, for which E = 54 Msi. With how much force must they be loaded before a, = 20 ksi? 10 im A. 9.5 lb B. 8.5 lb C. 6.5 lb D. 5.0 lb E. None of the above
A load P is supported by a structure consisting of rigid bar ABC, two identical solid bronze [E = 17200 ksi] rods, and a solid steel [E = 31400 ksi] rod, as shown. The bronze rods (1) each have a diameter of 0.69 in. and they are symmetrically positioned relative to the center rod (2) and the applied load P. Steel rod (2) has a diameter of 0.53 in. Assume L₁=45 in and L₂=67 in. If all bars are unstressed before the load P is applied, determine the normal stresses in bronze rods (1) and steel rod (2) after a load of P = 16 kips is applied. (1) Answers: 01 02 = i i L2 (2) Save for Later B P eTextbook and Media (1) ksi. ksi. L₁ Attempts: 0 of 5 used Submit Answer