Elements Of Electromagnetics
7th Edition
ISBN: 9780190698614
Author: Sadiku, Matthew N. O.
Publisher: Oxford University Press
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- A horizontal bar is attached to a wall. When a force of 1 kN is applied at point A (figure 1) , the deflection at point A is δAA = 0.37 mm . When a 1 kN force is applied at point B (Figure 2), the deflection at point A is δAB = 0.2 mm . A) What is the change in the length of the bar if there is a single load of 5.2 kN applied to the right at point A? B) What is the change in the length of the bar if a load of 3.4 kN is applied to the left at A and a load of 10.4 kN is applied to the right at B? C) If a load of 5.2 kN is applied to the right at point B, then what load magnitude must be applied to the left at point A to make the length of the bar remain unchanged?arrow_forwardA metal bar is made out of Ti-6A1-4V titanium (stiffness E = 120 GPa) and has a diameter d = 35 mm with the end at A fixed to the wall. There is a distributed axial load of w = 60 kN/m. Length of the bar is L1 = 1200 mm. Calculate the displacement of point A relative to the wall. L1 The displacement at A is 8 = mm w [kN/m] A cc 00 BY NO SA 2021 Cathy Zupkearrow_forwardA rectangular polypropylene [E = 6.200 MPa] bar (1) is connected to a rectangular nylon [E = 1,400 MPa] bar (2) at flange B. The assembly (shown in the figure) is connected to rigid supports at A and C. Bar (1) has a cross-sectional area of A₁ = 920 mm² and a length of L₁ = 1220 mm. Bar (2) has a cross-sectional area of A₂ = 2630 mm² and a length of L₂ = 570 mm. After two loads of P = 3.8 kN are applied to flange B, determine: (a) the forces in bars (1) and (2). (b) the deflection of flange B. (a) F₁ = F₂ = (b) UB = i i i A kN KN mm L₁ (1) P B L₂ (2)arrow_forward
- A long, slender structural aluminum [E = 69 GPa] flanged shape is used as a L = 9.2-m-long column. The column is supported in the x direction at base A and pinned at ends A and C against translation in the y and z directions. Lateral support is provided to the column so that deflection in the x-z plane is restrained at mid-height B; however, the column is free to deflect in the x-y plane at B. Assume that b; = 102 mm, d = 122 mm, t; = 8 mm, and tw = 6 mm. Determine the maximum compressive load P the column can support if a factor of safety of 2.9 is required. In your analysis, consider the possibility that buckling could occur about either the strong axis (i.e., the z axis) or the weak axis (i.e., the y axis) of the aluminum column. P bf C d Lateral В bracing 2 Determine the moment of inertia with respect to the y and the z axes through the centroid of the cross section area. Answers: ly = i mm“, Iz = i mm4.arrow_forwardA hollow steel [E = 30,000 ksi] tube (1) with an outside diameter of 3.50 in. and a wall thickness of 0.219 in. is fastened to a solid 2.00-in.-diameter aluminum [E = 10,000 ksi] rod. The assembly is attached to unyielding supports at the left and right ends and is loaded as shown. Assume P=18 kips, Q=10 kips, L1=6 ft, L2=7 ft, and L3=7 ft. (A) Calculate the cross-sectional area of steel tube (1), A1, and the cross-sectional area of the aluminum rods (2) and (3). in inches squared (B) Find the force in the steel tube (1), F1, and the forces F2 and F3, which are the forces in the aluminum rods. Use the correct sign for each force. By convention, a tension force is positive, and a compression force is negative. IN kips (C) Find σ1, σ2, and σ3, the normal stresses in members (1), (2), and (3), respectively. By convention, a tension stress is positive, and a compression stress is negative. IN KSI (D) Determine δ1 and δ2, the deformations of members (1) and (2), respectively. By…arrow_forwardA steel [E = 30,300 ksi; a = 6.7 x 106/°F] pipe column (1) with a cross-sectional area of A₁ = 5.70 in.² is connected at flange B to an aluminum alloy [E = 10,100 ksi; a = 12.7 x 10-6/°F] pipe (2) with a cross-sectional area of A₂ = 4.30 in.². The assembly (shown in the figure) is connected to rigid supports at A and C. It is initially unstressed at a temperature of 90°F. Assume L₁ = 126 in., L₂ = 156 in., P = 34 kips. (a) At what temperature will the normal stress in steel pipe (1) be reduced to zero? (b) Determine the normal stresses (positive if tensile, negative if compressive) in steel pipe (1) and aluminum pipe (2) when the temperature reaches -11°F. A Answers: (a) T= (b) σ₁ = 0₂ = L₁ tel i L2 °F ksi ksiarrow_forward
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