Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown in the figure. One load of P = 28 kips is appliedto the assembly at A, two loads of Q = 23 kips are applied at B, and two loads of R = 40 kips are applied at C. The normal stressmagnitude in aluminum rod (1) must be limited to 16 ksi. The normal stress magnitude in steel rod (2) must be limited to 32 ksi. Thenormal stress magnitude in brass rod (3) must be limited to 24 ksi. Determine the minimum diameter required for each of the threerods.(2)PABDdiiin.d2iin.%Ddz =in.

Diameter of each section can be calculated by calculating net force on each section . 1. Calculate…

Answered: Axial loads are applied with rigid…

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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1. A rigid horizontal bar of negligible mass is connected to two rods as shown in the figure. If the load P = 10 kN. determine the following: (1) the vertical movement on the bronze, mm (2) the vertical movement on the steel, mm (3) the vertical movement at P. Figure Steel 2m A = 900 mm? E = 200 GPa 3m 3m www I 2m> 1m Bronze A = 1200 mm? 2m E = 83 GPa P = 10 kN ww.
3) The rigid horizontal bar AB is supported by three vertical rods as shown in the figure and carries the load of 110 kN. The system is stress free before the load is applied. After the load was applied, the temperature of all wires is raised by 20°C. Use a = 12x10-6/°C for steel, a = 18x10-6/°C for copper and a = 20x10-6/°C_for brass. Neglecting the weight of the bar AB, determine the location of the 110 kN force in order that AB remains horizontal. copper bar: A=195mm? steel bar: brass bar: A=130mm? A=325mm A D 110 kN Note: copper=110 GPA Brass=97 GPA Steel= 200 GPA 3.00m 2.00m 1.80m 1.20m 1.50m
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal stress in aluminum rod (1) must be limited to 19 ksi, the normal stress in brass rod (2) must be limited to 22 ksi, and the normal stress in steel rod (3) must be limited to 13 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 7 kips, Q = 2 kips, R = 16 kips and S = 20 kips.
The Uniform AB brass bar is fixed with support and pin as shown in the figure and has a rectangular perpendicular cross-sectional area. Both ends of the bar are free in the vertical direction, but are prevented from rotating in the horizontal direction. a- Find b/d ratios at safe limits for horizontal and vertical axes. b- If P= 1,8 kN, L= 7 m, d= 60 mm and e= 150 GPa, what is the safety factor?
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The shaft shown the figure below, is supported by a bearing on the left end. The shaft also supports a pulley on the right end, which rotates. The tensions in the belt of the pulley are F. =2,739 y and F,=1,362 N. Also, a completely reversed axial load of F 11 N is applied to the right end. The shaft is made of UNS G10450 CD steel, with 2. a ground surface and 99 z reliability and operates at room temperature. Assume, K =1.35 for torque and formula 6- 34 to calculate K fs' K, - 1 K = 1 + (6-34) 1+ va/ Vr Bending or axial: Va = 0.246 – 3.08(10)S+ 1.51(10-)S, – 2.67(10-*)S 50 s Su s 250 kpsi Va = 1.24 - 2.25(10-)S+1.60(10)$ – 4.11(10-1)S, 340 S S 1700 MPa (6-35) Torsion: Va = 0.190 – 2.51(10-)S+ 1.35(10-), – 2.67(10-)S 50 < Su < 220 kpsi Va = 0.958 – 1.83(10-)S+ 1.43(10-")S-4.11(10-1)s 340 < S S 1500 MPa (6-36) All fillet radius r-0.1d All dimensions are in mm 300D -30 100 :600 1. Identify the critical point(s) on the shaft and show it clearly on the diagram. 2. Draw the cartesian…
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An aluminum rod is rigidly attached between a steel rod and a bronze rod as shown in the figure below. Axial loads are applied at the positions indicated. Find the maximum value of P that will not exceed a stress in steel of 200 MPa, in aluminum of 115 MPa, or in bronze of 145 MPa. Aluminum A = 400 mm2 Bronze A = 200 mm2 Steel A = 500 mm² P 2P 4P 2.5 m 2.0 m 1.5 m
A torsional moment T = 8,019 Nm and a load P = 39,980 N are applied at the same time to a circular hollow shaft of unknown length L, as shown in Figure Q8. The load P is applied in the centre of the shaft's circular cross-sectional area. The shaft has an inner diameter d = 38 mm and an outer diameter D = 90 mm. Point A in Figure Q8 is on the outer surface of the shaft. Figure 8 Calculate the maximum principal stress at point A. Use π = 3.14159 if needed. Calculate your answer in the unit: mega-Pascal (MPa). Report you answer to 3 decimal places.
Axial loads are applied with rigid bearing plates to the solid cylindrical rods shown. The normal stress in aluminum rod (1) must be limited to 19 ksi, the normal stress in brass rod (2) must be limited to 24 ksi, and the normal stress in steel rod (3) must be limited to 14 ksi. Determine the minimum diameter required for each of the three rods. Assume P = 8 kips, Q = 4 kips, R = 16 kips and S = 28 kips. A (1) VQ В R| (2) S S C (3) D First: Calculate the internal force (positive if tensile, negative if compresive) in rod (1). Use a FBD cutting through the rod in the section that includes the free end A.
Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A1 = 3950 mm2 and an allowable normal stress of 150 MPa. Bar (2) has a cross-sectional area of A2 = 2900 mm2 and an allowable normal stress of 160 MPa. Assume x1 = 2.0 m, x2 = 3.0 m, y1 = 0.8 m, and y2 = 2.8 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress.
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