Question 2A rigid bar of weight W=1,200 N hangs from three equally spaced vertical wires as shown in Figure Q2.The wires also support a concentrated load P acting on the bar. The diameter of the steel wires is 6 mm whilethe diameter of the aluminium wire is 15 mm. Assume the modulus of elasticity of steel and aluminium areE, 200 x 103 N/mm² and Ea = 80 x 103 N/mm² respectively.(a) Set up the equilibrium and compatibility equations for the system shown.[7 marks](b) What load Pallow can be supported at mid-span of the bar if the allowable stress in the steel wire is 210N/mm² and that in the aluminium wires is 70 N/mm². You are expected to show all calculations orchecks for both aluminium and steel wires.[15 marks](c) What will be the change in length of each wire when the load Pallow is acting?[3 marks]A950 mmSAS = Steel250 mm250 mmA Aluminium→WFigure Q2

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Answered: Question 2 A rigid bar of weight…

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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3. Consider a frame as shown below. The vertical section AB is 3 m long, and the horizontal section BC is 1.5 m long. The entire frame has a hollow circular cross- section with outer radius 5 cm and inner radius 4.5 cm. The frame is loaded as shown, with a load Py = 2500 N in the -y-direction (see coordinates below) and a load P, 2500 N in the -z-direction. =\ B ↑ Зм 1.5~ Pz - ♡ ४ P. a. Calculate the stress state at the base of the frame (point A) at each of the points indicated on the figure (a, ß, y, 8). You may neglect stresses you deem to be small, but please state such assumptions clearly. b. Using the results from (a), calculate the maximum tensile stress, compressive stress and shear stress at point A. c. Assuming the material used for the frame fails in tension at 400 MPa and in compression at 500 MPa, calculate the value of P, P, at which failure occurs. Where does failure occur? HE
3c
A uniform stone slab weighs 400 lb and is suspended by 3 cables and subjected to a downward vertical load as shown in the figure and parameter table. A B F y parameter Li La L3 value units 2 ft 4 ft 3 ft F 150 lb The tension in cable A is lb The tension in cable Bis lb The tension in cable C'is lb
The 2- dimensional truss shown in FIGURE Q2 is made of material that has a modules of elasticity E = 150x10° N/m². The cross sectional area of each member is 0.01 m?. Forces P, and P2 are acting as shown, Wall (a) (b) 40% (c)/30 P' P= 2kN 4m FIGURE Q2 a. You are required to design TWO (2) different system's fixing type of nodes 2, 3, and 4 to the wall. Then recommend the best option that provides the lowest displacement at node 1 by performing complete calculations to justify your recommendation. b. After the client approved your recommendation in (a), it was found that the displacements occurred at node 1 is still high. As a result, you are required to modify the truss design in order to reduce the displacement at node 1 by minimum 15% on a condition that modules of elasticity, and the force remain unchanged. Justify your recommendation. Las digit in Student ID O to 3 4 to 6 7 to 9 30° 36° 40° PI 5 kN 7 kN 8 kN
A long, rectangular bar (made of Material A) under a tensile load P hangs from a pin that is supported by two metal (made of Material B) posts. The Material A bar has a length of 2,0 m, a cross-sectional area of 5043 mm2 and a modulus of elasticity E=123 GPa. Each Material B metal post has a height of 0,3 m, a cross-sectional area of 4911 mm2, and a modulus of elasticity E=183 GPa. Calculate the maximum load P (in kN), if the displacement 6 is limited to 2,7 mm? Material B Post
3 Q2 A beam, AB, of weight W= 50 N and length L = 0.8 m is supported by two springs, as shown in figure 2.1. The two springs have identical unstressed length; the spring on the left has a spring constant, k, = 200 N/m, while the one on the right has a spring constant, k₂= 100 N/m. A vertical and downward load, P = 40 N, is applied at a distance x from A. (i) Derive the value of x for which the beam will have a horizontal orientation at equilibrium. State and justify your assumptions and comment on your working. bewalls (ii) Assume the two springs have different unstressed lengths. In your own (exham Or words, show whether it is possible for the beam to have a horizontal orientation at equilibrium when one spring is stretched while the other spring is compressed. State and justify your assumptions and comment on your working. kı k₂ (oisse of ton) 1. etgR B 10964 mtsnimsx3 to bn3 P Figure 2.1 (not to scale) A inction, and
Solve step by step in digitl format
The beam shown in Figure Q.2 consists of a W610 x 140 structural steel wide-flange shape [E= 200 GPa; /= 1120 x 106 mm²]. If w= 65 kN/m and P= 124 kN, determine: AY, V 1.5 m B W 3.5 m P C 2.5 m D Figure Q.2 Part A: The reactions at A, B, and D. Choose the reaction force at B as the redundant; therefore, the released beam is simply supported between A and D. Part B. The magnitude of the maximum bending stress in the beam. f) Find the maximum bending moment in the beam. Enter your answer in kNm to two decimal places. g) Calculate the magnitude of the maximum bending stress in the beam. Enter your answer in MPa to two decimal places
QUESTION 2 A two-bar planar truss structure has the geometry as shown in Figure Q2. A concentrated force P = 200 kN is applied to the truss at joint C, in the direction shown. Member AC is made of steel (E200 GPa) and has cross-sectional area of 1200 mm² while member BC is made of aluminum (E = 70 GPa) with cross-sectional area of 1500 mm². By using point A, B, and C as node 1, 2, and 3, respectively, the nodal coordinates and the elements connectivity are chosen as shown in the following tables: NODAL COORDINATES NODE x (m) 1 2 3 0 6 3 y (m) 0 -2 2 ELEMENT CONNECTIVITY ELEMENT 1st NODE 2nd NODE 1 1 3 2 2 3
Question 4 The round tapered brass bar, in Figure Q4, of length 500 mm is subjected to loads. Determine the change in length if E = 1x10ʻ kg/em². 300kg 500 kg 10 mm 4 700 kg 20 mm 500kg -150- -150 200 mm m m Figure Q4: Bar subjected to various forces
The pin-connected structure shown in the figure consists of a rigid beam ABCD and two supporting bars. Bar (1) is a bronze alloy [E = 100 GPa] with a cross-sectional area of A1 = 270 mm2. Bar (2) is an aluminum alloy [E = 73 GPa] with a cross-sectional area of A2 = 630 mm2. All bars are unstressed before the load P is applied; however, there is a 4-mm clearance in the pin connection at A. Assume L1 = 1890 mm, a = 870 mm, b = 540 mm, c = 410 mm, and L2 = 1450 mm. If a load of P = 127 kN is applied at B, determine(a) the normal stresses in both bars (1) and (2).(b) the downward deflection of point A on the rigid bar.

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