A steel rod of cross-sectional area of 600 mm2 and coaxial copper tube of cros ectional area of 1000 mm2 are firmly attached at their ends to form a compound bar Determine the stress in the steel and in the copper when the temperature of the bar i aised by 80°C and an axial tensile force of 60 kN is applied. For steel, E-200 GN/m? with oc 11 x 10-6 per °C For copper, E-=100 GN/m2 with oc 16.5 x 10-6 per °C

A steel rod of cross-sectional area of 600 mm2 and coaxial copper tube of cros ectional area of 1000 mm2 are firmly attached at their ends to form a compound bar Determine the stress in the steel and in the copper when the temperature of the bar i aised by 80°C and an axial tensile force of 60 kN is applied. For steel, E-200 GN/m? with oc 11 x 10-6 per °C For copper, E-=100 GN/m2 with oc 16.5 x 10-6 per °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

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The composite bar shown in figure 1 is fixed to the wall at A and connected to the wall at B by two bolts of 14mm in diameter. If at temperature of 10°C, the composite bar is just fit between the two walls (stress free). Determine the maximum and minimum temperature the system can withstand without exceeding any of the allowable stresses. Allowable compressive stress of steel =180 MPa Allowable compressive stress of aluminum = 120 MPa Allowable tensile stress of the bolt = 200 MPa Allowable shear stress of the bolt = 120 MPa B A 14 mmedia. bolt steel 14 mne dia- bolt Bolt Aluminura L= 200 mul L = 150 mm Tall 200 MPa E= 73G Pa E,= 200GPQ tension A = 200 mus? 'all shear = 1 20 HP A 400 mana K= 23 x10/ x, = 12x10/d al 180 MPa all = 120 MPa Comp Comp Figure 1
SHOW ILLUSTRATION AND SOLUTION Problem 2: Steel railroad rails 10 m long are laid with a clearance of 3 mm at atemperature of 15 oC. E = 200 GPa and  = 11.7 x 10 - 6/oC. 1. At what temperature will the rails just touch?2. What stress would be induced in the rails at that temperature if there were no initial clearance?
Determine : 1.The sense and magnitude of the stresses induced in the composite if it is not restrained. 2. The sense and magnitude of the stresses induced in the composite if it is partially restrained with an allowed free expansion of 0,3 mm.
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Problem (1): The rigid, horizontal slab is attached to two identical copper rods. There is a gap A = 0.18 mm between the middle bar, which is made of aluminum, and the slab. Neglecting the mass of the slab, calculate the stress in each rod when the temperature in the assembly is increased by 85 C. U se the following data: A (mm?) a (FC) E (GPa) Each copper rod 500 16.8 x 10-6 120 Aluminum rod 400 23.1 x 10-6 70 Copper unurumy Copper
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A steel bolt 8mm diameter fits loosely inside aluminium tube 8mm diameter and 16 mm outside diameter .A nut is fitted onto the bolt and tightened against the tube until the stress in the bolt is 40N/mm^2.calculate the stress in the bolt.If the temperature is now increased by 100 degree celcius .What will be the new value of stress in each components.
PLEASE ANSWER ASAP TY! The two bars (1) and (2) are made of the aluminum with E = 70 GPa, has the same cross section of 100 mm x 20 mm, and supported by rigid supports at A and C. The coefficient of thermal expansion of the material is 23 x 10–6/oC. At T = 25oC, the two bars have a gap of 5 mm as shown. a) What is the reaction force (in KN) at fixed support A when the temperature is 100oC? b) What is the reaction force (in KN) at fixed support C when the temperature is 100oC? c) What is the stress (in MPa) in bar (1) when the temperature is 100oC? d) What is the stress (in MPa) in bar (2) when the temperature is 100oC?
A steel rod bolt 8mm diameter inside fits loosely on an aluminium tube and 16mm outside diameter. A nut is fitted into the bolt and tighten against the tube, until the stress in the bolt is 40N/mm². Calculate the stress in the tube. If the temperature of the assembly is now increased by 100°C. What will be the new stress in each component?
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-
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A cylinder head of a steam engine is held on by 14bolts. The effective diameter of the cylinder is 35cm and the steam pressure is 85N/mm².Assuming that the bolts are not initially stressed; find the size of bolts if the tensile stress is not to exceed 20N/mm²