When the temperature is 10°C, the two rods are separated by a 0.5-mm0.5 mmgap as shown. If the temperature rises to 90°C, determine(a) the normal stress in each rod,300 mm250 mm(b) the change in length of the stainless steel rod.ABAluminumA = 2000 mm?E = 75 GPaa = 23 x 10-6/°CStainless steelA = 800 mm?E = 190 GPaa = 17.3 x 10-/°C

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Answered: When the temperature is 10°C, the two…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

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The rod BD is made of materia with G1= 124 GPa has a diameter 34 mm is bonded to the tube CA at point B, the tube made of material with G2=211 GPa has an outer diameter 73 mm and wall thickness of 10 mm. If T1=579 N.m and T2=1042 N.m, answer the following questions: A B T2 N-m 0.4 m 0.1 m 0.3 m T1 N-m The polar moment of inertia of the rod BD is The maximum shear stress of the tube CA is The maximum shear stress of the assembly is
5mm width. Rectangular cross section.
PROBLEM NO. 4 In Fig. 4, determine the normal stress and change in length of the aluminum rod if the temperature was raised by 129 C. The 0.5-mm gap exists at 28 C (0.59 mm 399 mm A Aluminum A = 2888 mm² E = 75 GPa α = 23 x 10°/°C 258 mm B Stainless Steel A = 899 mm² E = 190 GPa α = 17.3 x 10/°C
A rigid horizontal bar ABC is supported by three vertical rods as shown. The system is stress free before the load is applied. After the load P is applied, the temperature of all three rods is raised by 110°F. Determine the magnitude of the normal stress in rod (1). Answer in MPa rounded-off to 2 decimal places. Rod (1) : E = 105 GPa; a= 22.0 x 10-5/°C A=500 mm² Rod (2): E = 200 GPa; a = 11.7 x 10-6/°C A=250 mm² 2,100 mm 4,400 mm (1) (2) B (2) P= 45 KN 2,100 mm I
At room temperature (20°C), a 0.5-mm gap exists between the ends of the rods shown. The temperature eventually reaches a value of 140°C. Determine the normal stress in the aluminum rod. Determine the change in length of the aluminum rod.
3. Three bars each made from different materials are placed between walls when the temperature is 14°C. Determine the support reaction when the temperature becomes 19°C. The material properties are given in the figure. Answer: R = 3502.30 N Steel Brass Copper Ebr 100 GPa Ecu = 120 GPa Est=200 GPa ast = 12(10-6)/°C abr = 21(106)/C acu = 17(10-6)/°C Acu = 515 mm² |Ast = 200 mm² Abr= 450 mm² -300 mm- 200 mm- 100 mm 4. The rigid slab is supported by two identical copper rods as shown. The copper rod has an area of 500 mm² with a = 16.8 μm/ (m°C) and E = 120 GPa. There is a gap of 0.18 mm between the slab and the aluminum rod. The aluminum rod has an area of 400 mm² with a = 23.1 μm/ ( mºC) and E = 70 GPa. Compute the stress developed in each rod when the temperature is raised to 85°C. Assume that the weight of the slab is negligible. Answer: OAI = 16.80 MPa 85 →TA Δ Copper Aluminum Copper 750 mm-
There is a gap c = 1mm between the rods in the picture, the temperature changes evenly quantitatively ΔT = 1.9°C. Calculate the normal force on the cross section of the rods. E1 = 200 GPa, L = 1.0 m, E2 = 80 GPa, A1 = 5000 mm2, A2 = 2000 mm2, α1 = 12*10-61/°C, α2 = 8*10-61/°C
A compound bar is formed from copper rod of diameter 30 mm and a coaxialsteel tube of cross-sectional area 1500 mm2 which are firmly attached at their ends.Determine the stress in the copper and in the steel when the temperature of thebar is dropped by 40°C and a compressive force of 100 kN is applied.For copper, E = 100 GN/m2 with α = 16.5 x10-6per ⁰C.For steel, E = 200 GN/m2 with α = 11 x10-6per ⁰C
The temperature of an aluminum bar and a steel bar was raised from 40°C to 160°C. If there was a gap 0.4 mm between the two bars at 40°C as show in figure below, determine the normal stress in the aluminum bar and the change in length of the aluminum bar. 0.5 mm 300 mm 250 mm B Aluminum Stainless steel A = 2000 mm² E = 75 GPa A = 800 mm² E = 190 GPa a = 17.3 x 10-6/°C %3D %3D a = 23 X 10-6/°C
Determine the normal stress in each segment of the steel rod shown in the figure. E-200 GPa. A = 600 mm² A B 300 KN + 0.3 m A 200 mm² 200 KN 0.3 m 0.4m D 100 kN
The rigid bar ABC is supported by a pin at B and two vertical steel rods. Initially the bar is horizontal and the rods are stress-free. Determine the stress in each rod if the temperature of the rod at A is decreased by 40° C. Neglect the weight of bar ABC. Use a 11.7 x 10-6/°C and E 200 GPa for steel. A = 1200 mm. A 300 mm² 1.2 m 0.9 m C A. 0.6 m- 1.2 m

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