Dimensions in mm100100-180--120-+-CDSteel BBrass60 kN40 kN40-mm diam.30-mm diam.EPROBLEM 2.39Two cylindrical rods, one of steel and the other of brass, are joined atCand restrained by rigid supports at A and E. For the loading shownand knowing that E = 200 GPa and E₁ = 105 GPa, determine(a) the reactions at A and E, (b) the deflection of point C.

Answered: Dimensions in mm 100 100 -180- -120-+-…

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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Prob.5: [2.41] The steel rods (E = 200 GPa) support a 36 kN load P. Each of the rods AB and CD a 200 mm² cross-sectional area and rod EF has 625 mm? cross-sectional area. Determine (a) the change in length of rod EF, (b) the stress in each rod. 500 mm B E 400 mm F
2. Two cylindrical rods, AC (made of steel, E, = 200 GPa), and CE (made of brass, Eb = 105 GPa) are joined at C and restrained by rigid supports at A and E. The diameter of the steel rod is 40 mm. The diameter of the brass rod is 30mm. The applied forces are PB = 60 kN and Pp = 40 kN. Determine: (a) the reactions at A and E, (b) the deflection of point C relative to point A. Ans: RA = 62.8 kN +, Re = 37.2 kN –, &c = 0.0463 mm →) B C D E Pp 180 mm 120 mm 100 mm 100 mm
Two reservours with different liquilds A (s.g 0.8) and B (s.g 1.5) are connected by a Im square opening hole. The homogeneous cylinder (s.g 2.0), with 1 m long, is used to block the hole. Determine the magnitude and direction of the reactions at the upper and lower edges (s and m) of the opening. B S-0.8 6m A S=1.5 5m VEm m 45°
Q2 A rod consisting of two cylindrical portions AB and BC is restrained at both ends. Portion AB is -30-mm diameter 250 mm made of steel (E, 200 GPa, a,= 11.7 x 10°C) and portion BC is made of brass (E, = 105 GPa, B -50-mm diameter as= 20.9 x 10-6°C). Knowing that the rod is 300 mm initially unstressed, determine the compressive force induced in ABC when there is a temperature C rise of 70 °C.
Question 2 The rods BE and CD are made from steel (E=200 GPa), and each have a diameter, P. The ends of the rods are threaded with a pitch, p. The nuts at B and C are initially finger tightened such that they barely touch rigid member ABC. If the nut at C is then tightened by one full turn, determine: (a) the tension in rods BE and CD (b) the distance, uc, that point C on the rigid member ABC moves. Assume a=300 mm, b= 100 mm, c= 2.5 m, d= 6 m, 0=40 mm, and p=1 mm. OA a В E b D C d
2. (a) A steel cylinder of 60 mm inner radius and 80 mm outer radius is subjected to an internal pressure of 30 MNm ². Determine the resulting hoop stress values at the inner and outer surfaces and graphically represent (sketch) the general form of hoop stress variation through the thickness of the cylinder wall. (b) (c) The cylinder in (a) is to be used as a shrink-fitted sleeve to strengthen a hydraulic cylinder manufactured of the same steel. The cylinder bore radius is 40 mm. When the hydraulic cylinder is not subjected to internal pressure, the interference pressure generated due to the shrink fit alone is 30 MNm2. Note: This is the same value of pressure as in the problem analysed in part (a). Determine the resulting hoop stress values at the inner and outer walls of the inner cylinder. Graphically represent the general form of hoop stress variation through the wall thickness in the combination indicating the key values as calculated in parts (a) and (b). (d) If the Young's…
P 1 mm 375 mm C Fig. P2.16
Kindly solve this and show your solution.
a. Determine the reactions at A and B. b. Determine the reactions at the supports A and B
-8 in. 10 in. 10 in.- C A B 18 kips 14 kips 1-in. diameter D 1-in. diame PROBLEM 2.39 Two cylindrical rods, AC made of aluminum and CD made of steel, are joined at C and restrained by rigid supports at A and D. For the loading shown and knowing that Ea 10.4 x 106 psi and Es = 29 × 106 psi, determine (a) the reactions at A and D, (b) the deflection of point C. = -
1. The steel stepped rod carries the axial loads shown in Fig. Knowing that Aj=20 cm², A2=10 cm², E=200 GPa, [G]=160Mpa. Odraw the diagram of the axial force of the rod. check the strength of the rod. Odetermine the change in the length of the rod. - A1=20cm? A=10 cm 160KN 40KN 200KN B 400mm 400mm

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