2.5 (B). A steel rod of cross-sectional area 600 mm² and a coaxial copper tube of cross-sectional area 1000 mm²are firmly attached at their ends to form a compound bar. Determine the stress in the steel and in the copper when thetemperature of the bar is raised by 80°C and an axial tensile force of 60 kN is applied.For steel, E = 200 GN/m² with x = 11 x 10-6 per °C.E = 100 GN/m² with α = 16.5 × 10-6For copper,per °C.[E.I.E.] [94.6, 3.3 MN/m².]

Answered: 2.5 (B). A steel rod of cross-sectional…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

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3. An axial pull of 35000 N is acting on a bar consisting of three lengths as shown below. If the Young's Modulus is 2.1 x 105 N/mm2. Determine (i) Stresses in each section, and; (ii) Total extension of the bar. Section 3 Section 2 Section 1 35000 N 35000 N 2 cm DIA 3 cm DIA 5 cm DIA k-20 cm- 25 cm -22 cm-
2.4 (A). A 75 mm diameter compound bar is constructed by shrinking a circular brass bush onto the outside of a 50 mm diameter solid steel rod. If the compound bar is then subjected to an axial compressive load of 160 kN determine the load carried by the steel rod and the brass bush and the compressive stress set up in each material. For steel, E 210 GN/m²; for brass, E = 100 GN/m². [I. Struct. E.] [100.3, 59.7 kN; 51.1, 24.3 MN/m².]
A rigid bar AB of length L = 1600 mm is hinged to a support at A and supported by two vertical wires attached at points C and D such that AC = 500mm and AD = 1200mm Both the wires have same cross sectional area of 16 mm² and made of the same material having Young's modulus of 200 GPa. The wire at C has a length of 400 mm and that at D has 800 mm. Determine the tensile stresses in the wires and downward displacement at point B of the bar when a load of 1 kN is suspended at B.
1. A steel rod of 20 mm diameter passes centrally through a copper tube of external diameter 40 mm and internal diameter 20 mm. The tube is closed at each end with the help of rigid washers (of negligible thickness) which are screwed by the nuts. The nuts are tightened until the compressive load on the copper tube is 50 kN. Determine the stresses in the rod and the tube, when the temperature of whole assembly falls by 50°C. Take Es = 200 GPa ; Ec = 100 GPa ; as = 12 x 10-6/°C and ac = 18 x 106/°C.
3. The composite bar consists of a 20-mm diameter steel segment AB and 50-mm diameter brass end segments DA and CB. Find the stress on each segment due to the applied loads. E of steel is 200 GPa and E of brass is 101 GPa. 250mm 250mm 250mm 50mm 20mm 50mm 75KN 100KN brass steel brass D B C 75KN 100KN
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3. A steel rod of 3 cm diameter and 5 m length is connected to two grips and the rod is held at a temperature of 95 °C. Determine the stress in the rod, and the force in the rod if the temperature drops to 30 °C for the following cases a. The grip ends do not yield b. The grip ends yield by 0.12 cm Assume the Young's Modulus of the rod is E = 2×105 MPa, and the CTE is a=12×106/ °C
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal stress in aluminum rod (1) must be limited to 20 ksi, the normal stress in brass rod (2) must be limited to 24 ksi, and the normal stress in steel rod (3) must be limited to 12 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 8 kips, Q = 5 kips, R = 20 kips and S = 28 kips. Calculate F1, F2, F3 and..
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal stress in aluminum rod (1) must be limited to 19 ksi, the normal stress in brass rod (2) must be limited to 22 ksi, and the normal stress in steel rod (3) must be limited to 14 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 9 kips, Q = 5 kips, R = 20 kips and S = 30 kips. (1) VQ B (2) (3) D First: Calculate the internal force (positive if tensile, negative if compresive) in rod (1). Use a FBD cutting through the rod in the section that includes the free end A. Answer: F1 = i kips.
40 MPa PROBLEM 2.66 A 30-mm square was scribed on the side of a large steel pressure vessel. After pressurization, the biaxial stress condition at the square is as shown. For E = 200 GPa and v=0.30, determine the change in length of (a) side AB. (b) side BC, (c) diagnonal AC. 30 mn - S0 MPa 8 AR = 10.20 pm SBc = 2.40 um 8A =8.91 um
Q2 A compound bar is constructed from three bars 50 mm wide and 12 mm thick fastened together to form a bar of 50 mm width and 36 mm height. The middle bar is made of Aluminum alloy for which E=70 GPa and the outside bars are made of Brass with E=100 GPa. A) If a Compressive Load of 15 KN is applied to the compound bar, find the stresses in the brass and aluminum. B) Determine the temperature at which the total stress in one bar will be zero, find also the total stress of the other bar.
A 13-mm-diameter steel (E = 193 GPa) rod (2) is connected to a 27-mm-wide by 10-mm-thick rectangular aluminum (E = 72 GPa) bar (1), as shown. Assume L1 = 0.74 m and L2 = 1.38 m. Determine the force P (in kN rounded to the nearest tenths) required to stretch the assembly 8.1 mm.

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