B. A plastic bar ACB having two different solid circular cross sections is heldbetween rigid supports as shown in the figure. The diameters in the left andright parts are 50 mm and 75 mm, respectively. The corresponding lengths are225 mm and 300 mm. Also, the modulus of elasticity E is 6.0 GPa, and thecoefficient of thermal expansion is 100 x10/Cº. The bar is subjected to auniform temperature increase of 30°C.Calculate the following quantities:(a) the compressive force P in the bar.(b) the maximum compressive stress.(c) the displacement of point C.|75 mmB.|A 50 mm C-225 mm-300 mm

Given, Diameter of Ac bar,d1=50Length of Ac bar, L1=225mmDiameter of CB bar,d2=75mmLength of the CB…

Answered: B. A plastic bar ACB having two…

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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2. With an area of 420 mm², a bronze bar that is 3 m long is placed between two rigid walls as shown in Fig. below. Find the temperature at which the compressive stress in the bar will be 55 MPa, if at a temperature of -20°C, the gap A = 3 mm. Use a = 18.0 x 10“ m/(m:°C) and E = 80 GPa. L = 3 m
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Two initially straight bars are joint together and attached to support as shown in Figure 4. Let us suppose that the system is initially stress free and that the temperature then drops 20°C. (a) If the supports are unyielding, find the normal stress in each bar. (b) If the right support yields 0.1 mm, find the normal stress in each bar. Aluminium Brass E = 70 GPa E = 90 GPa a = 20 x 10/°C A = 500 mm? a = 25 x 10*/°C A = 750 mm? 500 mm 250 mm Figure 4
Consider a steel bar attached at both ends. Assume that at 20 °C this bar is free of tension. Calculate the maximum temperature that this bar can be heated without exceeding a maximum voltage of 200 MPA. Data: α steel = 12x10-6 ° C, E steel = 200 GPA
A bronze bar 3 m long with a cross sectional area of 320 mm2 is placed between two rigid walls as shown in Figure. At a temperature of -20°C, the gap A = 25 mm. Find the temperature at which the compressive stress in *. the bar will be 35 MPa. Use a = 18.0 x 10-6 m/(m. C) and E = 80 GPa 45.5 C 48.3 C 52.4 C 50.6 C ()
the figure below shows a vertical nylon filament with a weight suspended from its lower end. The cross-sectional area of the filament is 8 x 10-7 m?, the young modulus is 2 x 10° Pa and the ultimate tensile stress is 9 x 107 Pa. nylon filament weight Calculate: (i) The maximum weight W the filament can support without breaking. (ii) The weight W' which will extend the filament by 0.50% of its original length.
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?
A steel plate 5/16 in. thick is embedded in a horizontal concrete slab and is used to anchor a high-strength vertical cable as shown in the figure below. The diameter of the hole in the plate is 0.75-inches, the ultimate strength of the steel used is 36 ksi, and the ultimate bonding stress between the steel plate and concrete is 300 psi. The designers considered a factor of safety of 3.60 is desired when P = 2.5 kips. Address the following: (a) Identify three potential failure modes for the complete system. For each mode develop a sketch which idealizes the mode of failure. (b) If you where required choose dimensions for the plate ("a" and "b"), how would you size these dimensions? (c) For one of the failure modes identified above, perform an analysis to determine adequate plate dimensions ("a" and "b") to support the required load of 2.5 kips with the established factor of safety. in. AP Sl 4 in.
A steel bar of 30 mm * 30 mm square cross section is subjected to an axial compressive load of 300KN. If the length of the bar is 3m and E=200GPa find contraction of the bar.
3) The rigid horizontal bar AB is supported by three vertical rods as shown in the figure and carries the load of 110 kN. The system is stress free before the load is applied. After the load was applied, the temperature of all wires is raised by 20°C. Use a = 12x10-6/°C for steel, a = 18x10-6/°C for copper and a = 20x10-6/°C_for brass. Neglecting the weight of the bar AB, determine the location of the 110 kN force in order that AB remains horizontal. copper bar: A=195mm? steel bar: brass bar: A=130mm? A=325mm A D 110 kN Note: copper=110 GPA Brass=97 GPA Steel= 200 GPA 3.00m 2.00m 1.80m 1.20m 1.50m
Cylinders 1 and 2 are glued as shown in the figure. The tensile strength of the glue is 24 MPa, its shear strength is 18 MPa. The glue is evenly distributed over the cylinder with a diameter of 30 mm and an unknown length L. The force F supported by the assembly is 2,600 daN. Calculate the minimum length L to give to the glued joint of the assembly.
Question 2 Consider the bar in figure 2, it has cross sectional area A 1.10-4m², modulus of elasticity E = = 200GPa, and length 1.5 m. The bar is fixed to a wall on its left hand side, and has a constant loading of 1(x) = −10 kN/m applied along its length. x=0.0 |(x) = -10 kN/m 1.5 m X x=1.5 Figure 2: diagram of bar subject to applied force along its length a) The displacement of the bar u(x) is governed by the equation ə du(x) AE dx dx +1(x) 0 x = [0, 1.5], state the two boundary conditions for this bar problem, and give a short reasoning for your answer (maximum 2 sentences for each boundary condition).

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