**Problem Statement:**Find the total deformation of the aluminum bar system due to loading. (Unit: m)Given:- \( E_A = 73 \text{ GPa} \)- Cross-sectional area of member AB = \( 25 \text{ mm}^2 \)- Cross-sectional area of member BC = \( 75 \text{ mm}^2 \)**Diagram Description:**The diagram shows a horizontal bar system composed of two segments, AB and BC. - Segment AB measures 1.11 cm in length from point A to point B, and it is subjected to a force of 37.1 kN, directed to the left. - Segment BC measures 17.0 cm in length from point B to point C, with a force of 21.5 kN directed to the right.This setup illustrates the forces acting on the aluminum bar members and provides the necessary dimensions and forces for calculating the total deformation of the bar system.

Answered: Image /qna-images/answer/90a53254-fb04-468f-8e6e-63a190db88fc.jpg

Find the total deformation of the aluminum (E₁ = 73 GPa) bar Syste due to loading ? (unit m) Criven: cross-sectional area member AB = 25 mm² and that of member BC = 75mm² A B 1.11 [cm] 37.1 [kN] 17.0 [cm] 21.5 [kN] C

Find the total deformation of the aluminum (E₁ = 73 GPa) bar Syste due to loading ? (unit m) Criven: cross-sectional area member AB = 25 mm² and that of member BC = 75mm² A B 1.11 [cm] 37.1 [kN] 17.0 [cm] 21.5 [kN] 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

See similar textbooks

Similar questions

At a temperature of 60°F, a 0.05-in. gap exists between the ends of the two bars shown. Bar (1) is an aluminum alloy [E = 10,000 ksi; v = 0.32; a = = 12.5 x 10-6/°F] bar with a width of 3.0 in. and a thickness of 0.65 in. Bar (2) is a stainless steel [E = 28,000 ksi; v = 0.12; a = 9.6 x 10-6/°F] bar with a width of 1.6 in. and a thickness of 0.65 in. The supports at A and C are rigid. Assume h₁=3.0 in., h₂=1.6 in., L₁=32 in., L₂=46 in., and A = 0.05 in. Determine (a) the lowest temperature at which the two bars contact each other. (b) the normal stress in the two bars at a temperature of 265°F. (c) the normal strain in the two bars at 265°F. (d) the change in width of the aluminum bar at a temperature of 265°F. (1) h₂ B L₁ h₁ L2
To support a tensile load of 65 kN, a metallic rod with a circular cross section and a length of 0.32 m will be used. It is desirable that the tension in the bar should not exceed 240 MPa and the maximum elongation should be 0.42 mm. What is the minimum rod diameter [m] in these conditions? Calculate. (For a metallic bar, take the elastic modulus as 220 GPa).
PROBLEM 3: A pole AB is being lifted using cables BC and BD. The pole is tilted at an angle of 60⁰ from the horizontal (from xy-plane) and the tensions in BC and BD are 26.1 and 11.3 kN, respectively. [7] Determine the coordinates of B. Answer format: (x, y, z) (ANSWER: 6.00, 0.00, 10.39 m) [8] Calculate the magnitude of the resultant of the two tensions BC and BD acting at B. (ANSWER: 36.04 KN) [9] Calculate the directional angle of the resultant of tensions BC and BD acting at B with respect to the z-axis (γ). (ANSWER: 135.969⁰) and with respect to the y-axis (β). (ANSWER: 103.611⁰).
A polymer cylinder (2) is clamped between rigid heads by two steel bolts (1). The steel [E - 29,000 ksi; a - 6.5x10-6/°F] bolts have a diameter of 0.45 in. The polymer [E - 370 ksi; a - 39.9x 10-6/°F] cylinder has an outside diameter of 6.2 in. and awall thickness of 0.35 in. Assume a - 27 in. and b - 35 in. If the temperature of this assembly changes by AT - 145°F, determine: (2) the normal stress in the polymer cylinder. (b) the normal strain in the polymer cylinder. (c) the normal strain in the steel bolts. (1) (2) (1) Answer: (a) 02 - psi. (b) E2 - (c) E1 - με
A copper [E = 102 GPa, a = 17.1x10-6/°C] rod (2) is placed within a steel [E = 204 GPa, a = 11.6x10-6/°C] tube (1) of the same length. The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel tube is D₁ = 88 mm, its inside diameter is d₁ = 63 mm, and its cross-sectional area is A₁ = 2965 mm². The diameter of the solid copper rod is d₂ = 45 mm, and its cross-sectional area is A₂ = 1591 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 40°C. Pin Answer: 02= i Steel Tube (1) Pin MPa Copper Rod (2)
To support a tensile load of 65 kN, a metallic rod with a cross-sectional area of Circle and a length of 0.32 m will be used. It is desirable that the voltage on the rod does not exceed 240 MPa, and the maximum extension is 0.42 mm. How many [m] should the minimum (minimum) Rod diameter be in these conditions? Calculate. (Take the elasticity module as 220 GPa for the metallic Rod).
A copper [E = 104 GPa, a = 17.1x10-6/°C] rod (2) is placed within a steel [E = 208 GPa, a = 12.2x10-6/°C] tube (1) of the same length. The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel tube is D₁ = 103 mm, its inside diameter is d₁ = 80 mm, and its cross-sectional area is A₁ = 3306 mm². The diameter of the solid copper rod is d₂ = 60 mm, and its cross-sectional area is A2 = 2828 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 44°C. Pin Answer: 02= i Steel Tube (1) Pin MPa Copper Rod (2)
Determine the reactions of the structure, subjected under a trapezoidal distributed load as shown in the figure. Assume that the self-weight of the elements is negligible.
A copper [E = 106 GPa, a = 17.5x10-6/°C] rod (2) is placed within a steel [E = 212 GPa, a = 11.2x10-6/°C] tube (1) of the same length. The two components are connected at each end by pins that pass through both the tube and the rod. The outside diameter of the steel tube is D₁ = 97 mm, its inside diameter is d₁ = 84 mm, and its cross-sectional area is A₁ = 1849 mm². The diameter of the solid copper rod is d₂ = 60 mm, and its cross-sectional area is A₂ = 2828 mm². Calculate the normal stress in the copper rod if the temperature of the entire assembly is raised by 40°C. Pin Answer: 02= i Steel Tube (1) Pin MPa Copper Rod (2)
B8
(2) The strength condition of composition of bending and torsion is _M₂ _ √ M² + (ar)² ≤ [0_1b] W 0.1d³ Please write down the meaning of the following symbols in the formula. de 2 M 3 T (4) a [0-1b]
1. Given the following shear diagram. }< V ↑ [1b] a. Sketch the beam showing the loading. b. Sketch the Moment diagram. 2000 -1000 M [lbft] 5ft -2000 -3000 10ft 10ft | x