Semana 6 solucion

7
Three identical circular disks A, B, and C are welded to the ends of three identical solid circular bars (see figure). The bars lie in a common plane and the disks lie in planes perpendicular to the axes of the bars. The bars are welded at their intersection D to form a rigid connection. Each bar has diameter d1 = 0.5 in. and each disk has diameter d2 = 3.0 in. Forces P1, P2, and P3 act on disks A, B, and C, respectively, thus subjecting the bars to torsion. If P1 = 28 lb, what is the maximum shear stress tmax in any of the three bars? R//tmax=4840 psi

Transcript of Semana 6 solucion

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Three identical circular disks A, B, and C are welded to the ends of three identical solid circular bars (see �gure). The bars lie in a common plane and the disks lie in planes perpendicular to the axes of the bars. The bars are welded at their intersection D to form a rigid connection. Each bar has diameter d1 = 0.5 in. and each disk has diameter d2 = 3.0 in.Forces P1, P2, and P3 act on disks A, B, and C, respectively, thus subjecting the bars to torsion. If P1 = 28 lb, what is the maximum shear stress tmax in any of the three bars?R//tmax=4840 psi

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A circular bar AB with ends �xed against rotation has a hole extending for half of its length (see �gure). The outer diameter of the bar is d2 = 3.0 in. and the diameter of the hole is d1 = 2.4 in. The total length of the bar is L = 50 in. At what distance x from the left-hand end of the bar should a torque T0 be applied so that the reactive torques at the supports will be equal?R// x=30.12in

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Three solid shafts, each of 3/4-in. diameter, are connected by the gears as shown. Knowing that G = 11.2 E6 psi, determine (a) the angle through which end A of shaft AB rotates, (b) the angle through which end E of shaft EF rotates.

R// α_A=24.5° α_E=19.37°

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