0.1 mmСорperAluminum-100 mm200 mmThe two circularrod segments, one of aluminum and the other of copper, are fixed to the rigid walls suchthat there is a gap of 0.1 mm between them when T,= 15°C. Each rod has a diameterof 30 mm,aF 23x106°C*1, a= 17×106°C!, Eg= 70 GPa, and E = 126 GPa.cuDetermine:1)The temperature required in order to just close thegap.2)The average normalstress in each rod when T,= 85°C.3)The displacementof each rod if T3= 85°C.

Answered: Image /qna-images/answer/90b73080-ba9b-4dba-bbd3-6517eba25426.jpg

Answered: The two circularrod segments, one of…

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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Current Attempt in Progress A solid prismatic rod is L; = 330 mm long and has a circular cross section with a diameter of d = 24 mm. After the temperature of the unconstrained rod is increased, its final length is measured as L₁= 330.265 mm. Determine the change in the rod's diameter after the temperature increase. Answer: Ad = i mm
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A solid 0.25-in.-diameter cold-rolled steel rod is pinned to fixed supports at A and B. The length of the rod is L = 25 in., its elastic modulus is E = 32000 ksi, and its coefficient of thermal expansion is a = 6.5 x 10-6 in./in./°F. Determine the temperature increase AT that will cause the rod to buckle. P L B Answer: AT = i O
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A steel rod is stretched between two rigid walls and carries a tensile load of 4,075 N at 20°C. If the allowable stress is not to exceed 130 MPa at -20°C, the minimum diameter in mm of the rod is Assume a = 11.7 um/(m-°C) and E = 200 GPa. %3D %3D
Mechanics of materials I
View Policies Current Attempt in Progress The assembly shown in the figure consists of rod (1) and tube (2), both made of steel (E = 30,000 ksi). The tube is attached to a fixed support at C. A rigid end plate is welded to the tube at B, and the rod is welded to the end plate. The rod is solid with a diameter of d₁ = 0.380 in. The tube has an outside diameter of D₂ = 2.50 in. and a wall thickness of t₂ = 0.115 in. The dimensions of the assembly are a = 68 in. and b = 39 in. Determine the horizontal deflection at rod end A for an applied load of P = 4.3 kips. Part 1 F₁ i D₂ Save for Later B kips End plate a Tube (2) 12 C ↑ b Based on an appropriate FBD, determine the axial force F₁ in rod (1). Use the sign convention for internal axial forces discussed in Section 5.3. Rod (1) Fixed support Attempts: 0 of 1 used Submit Answer
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-
The rigid bar AC is supported by two axial bars (1) and (2). Both axial bars are made of bronze [E = 100 GPa; a = 18 × 10-6 mm/mm/ °C). The cross-sectional area of bar (1) is A1 = 184 mm2 and the cross-sectional area of bar (2) is A2 = 380 mm2. After load P has been applied and the temperature of the entire assembly has increased by 38°C, the total strain in bar (2) is measured as 1240 µɛ (elongation). Assume L1 = 1290 mm, a = 590 mm, b = 820 mm, and L2 = 2000 mm. Determine: (a) the magnitude of load P. (b) the vertical displacement of pin A. L2 (1) L1 B a P Answers: (a) The magnitude of P = i kN. (b) The vertical displacement of pin A = i mm (down).
Prob.7: [2.55] At room temperature (20°C) a 0.5 mm gap exists between the ends of the rods shown. At a later time when the temperature has reached 140°C, determine (a) the normal stress in the aluminum rod, (b) the change in length of the aluminum rod. 0.5 mm 300 mm 250 mm В Aluminum A = 2000 mm E = 75 GPa a = 23 x 10-6°C a = 17.3 × 10-6PC Stainless steel A = 800 mm2 E = 190 GPa
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