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. (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 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/mBE1.0 m-2.0 mDetermine the:vertical displacement of point C (ycdEquation relating TBp & 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

Problem 1.1MA

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Question 9 A horizontal bar ABis supported by a pinned-end column CD as shown in the figure. The column is a steel bar (E = 200 GPa) of square cross section having length L = 3 m and side dimensions b = 50 mm. Calculate the allowable load Q if the factor of safety with respect to buckling of the column is n= 3. ANS: 12.7 -2d- B D
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
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 4350 mm² and an allowable normal stress of 85 MPa. Bar (2) has a cross-sectional area of A₂ = 4550 mm² and an allowable normal stress of 80 MPa. Assume x₁ = 1.5 m, x₂ = 3.0 m, y₁ = 1.4 m, and y₂ = 2.5 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress. Y₁ A Answer: Pmax= (1) B P x₂ KN
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.
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. (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 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 A 0, B E 1.0 m- 2.0 m Determine the: vertical displacement of point C (y.) Equation relating T80 & FCE displacement of point B (A,)
1.2 m A 0.9 m B 0.9 m- 112 mm D P Figure 1 The structure shown in Figure 1 is used to suspend heavy items. The structure is composed by four main members: The cable holding the load P, the pulley C, the beam ABC, and the solid, circular, A-36 steel¹ link DB. The structure is assembled using four 40 mm diameter A-36 steel pins (i.e. A, B, C and D) that work in single shear. The cable has a breaking load of 100 kN and the link BD has a diameter of 50 mm. It has already been established that the beam ABC can safely resist a load P = 150 kN. By analyzing all remaining possible failure modes you are required to establish the safe working load Psw for this structure. Neglect the self-weight and use a F.S. = 2 in the calculation of all structural members.
Problem 2.2-14 The frame construction of a factory workshop is built from two angled girders that are hinge supported in A and B and connected by the hinge H. The dead-load of the roof and an additional snow load are represented by the distributed load q = 8 kN/m. Moreover, a horizontal wind-load is simplified by a single concentrated force F 10 kN, acting at = the upper left corner of the frame. 4 m H 5 m 5 m Determine the support reactions A and B along with the hinge-force in H! B q
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?
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?
please help solve and explain
Find the critical load of a Euler’s column having 4 m length, 50 mm x 100 mm cross section and hinged at both the ends E = 200 kn/mm².

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