Rigid bar AB is used as a structural element for a canopy. Bar AB carries an idealized uniformload of 4.5 kN/m. Aside from a pin connection at A, bar AB is additionally supported by a steelcable BD at point B and a steel pipe CE at point C. (Esa=200 GPA, a=11.7×10*/-C)The length of cable BD is 2V3 m and its cross-sectional area is 120 mm?. Its inclination from thehorizontal is 0,=30". As for the pipe bracing CE, its length is v2 m and its cross-sectional area is490 mm. Pipe CD is inclined 0,-45° from the horizontal.Additionally, the pipe bracing CE is heated by AT-5•C.4.5 kN/mA 0,BE1.0 m-2.0 mDetermine the:vertical displacement of point C (y.)Equation relating T80 & FCEdisplacement of point B (A,)

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Answered: Rigid bar AB is used as a structural…

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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A truss structure is shown in Figure A1-1. The member AB is along the horizontal direction. A horizontal force F=100 N is applied on joint C. Co F=100N 45° D 90⁰ A 45⁰ 45° B 1m Figure A1-1 (a) Determine the reaction forces at joints A and B. (b) Determine the loads carried by all the members (AB, BC, BD, AD and DC). Indicate if they are tensile or compressive. 90° 45⁰ 1m
A rigid body ABCKDE is in equilibrium under the e?ect of a set of loads as shown in the Figure. The rigid body is connected to a pulley at E which supports a distributed load between points G and I. The distributed load is also externally supported by a rigid link (or pendulum) IJ. The rigid body is supported by two external devices, a pin at A and roller at C, respectively. The distributed load has a magnitude w = 15 kN/m at point H applied downward, and it decreases linearly to 0 at point I. In addition, a concentric force F⃗1 = 30 kN is applied at K, and a couple M⃗1 = 300 kNm (clockwise) at D. The angle α of force F⃗1 with the horizontal line is 40o. Do the following: 1. Draw the Free Body Diagram (FBD) of the structure. 2. Find the external reactions at A, C, and J.3. The reactions of the pin at E.
A frame structure is shown in the following Figure. Members ABC and BD are pin jointed to supports at A and D, respectively. An external load 4kN is applied vertically at point C. Find the magnitude of the force in member BD? (Note, the member BD is a two-force body) O O O O O 4 kN Don't Know 24 kN 16 kN 4m 8 kN B 4m 4kN
2. 1.5 m 3 m 400N 200 N 1 m Member AB is supported by a cable BC and at A by a square rod which fits loosely through the square hole in the collar fixed to the member as shown. Which of the following is closest to the force in cable BC?
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The structure of a beam with single supports is supported by a pinned moment MA at end A, an inclined load FB applied at point B, and a uniformly distributed load of magnitude q1 on segment BC. Find the support reactions at joints A and C, then calculate the internal forces at the midpoint of BC. MA= 380 N.m FB = 200 N q1= 160N/m a= 3 m b= 2m
The rigid element ABCD is supported by a pin at C and two rods at A and D as shown in the figure. A load P is applied at B.[L₁ = 600 mm, A₁ = 67 mm², E₁ = 200 GPa, L₂ = 180 mm, A₂ = 647 mm², E₂ = 100 GPa, a = 600 mm, b = 350 mm, c = 300 mm, and P = 64 kN] T a. Determine the axial force and normal stress in in rod 1 and rod 2 b. Determine the displacement at point A and D
Q1 (а) A hollow circular post ABC as shown in Figure Q1 (a) supports a load P, = 65B5 N acting at the top. P2 is applied around the cap plate at B. The outer diameters and thicknesses of the upper and lower parts of the post are dAB = 30 mm, tu =1A mm, dzc = 50 mm, and t3c =9 mm , respectively. A=1 B=0 (i) Calculate the normal stress o AR on the upper part of the post. (ii) If it is desired that the lower part of the post have the same compressive stress as the upper part, what should be the magnitude of the load P,? (111) If Pi remains at 65B5 N and P2 is now set at 10050 N, what is the new thickness of BC that will result in the same compressive stress in both parts?
Rigid bar DB in the figure is supported at pin B by axial member ABC, which has a cross-sectional area of A₁ = A₂ = 85 mm², an elastic modulus of E₁ E₂ = 1450 MPa, and lengths of L₁ = 360 mm and L₂ = 640 mm. A load of Q = 270 N is applied at end C of member (2), and a load of P = 1545 N is applied to the rigid bar at a distance of a = 75 mm from pin support D and b = 35 mm from pin B. Determine the magnitudes of the downward deflections of: (a) pin B. (b) pin C. (a) UB= (b) vc = GO Tutorial i eTextbook and Media Save for Later i D Rigid bar וחות mm a b B (1) L₁ (2) L₂ Attempts: 0 of 5 used Submit Answer
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(c) An aluminium bar having a cross-sectional area of 0.5 in² carries the axial loads applied at the positions shown in Figure. Compute the total change in length of the bar if E = 10× 106 psi. Assume the bar is suitably braced to prevent lateral buckling. 6000 lb 7000 lb <<5000 lb 4000 lb 3 ft 5 ft 4 ft
Rigid bar AB is used as a structural element for a canopy. Bar AB carries an idealized uniform load of 4.5 kN/m. Aside from a pin connection at A, bar AB is additionally supported by a steel cable BD at point B and a steel pipe CE at point C. (Ete=200 GPA, a=11.7x10/oC) The length of cable BD is 2v3 m and its cross-sectional area is 120 mm?. Its inclination from the horizontal is 0,=30°. As for the pipe bracing CE, its length is v2 m and its cross-sectional area is 490 mm?. Pipe CD is inclined 0,=45° from the horizontal. Additionally, the pipe bracing CE is heated by AT=5•C. 4.5 kN/m B E 1.0 m- 2.0 m Determine the: vertical displacement of point C (ycd Equation relating TBp & FCE displacement of point B (A;)

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