6-11 A pin in a knuckle joint is shown in part (a) of the figure. The joint is subject to a repeatedly applied and released load of 6000 N in tension. Assume the loading on the pin is modeled as concentrated forces as shown in part (b) of the figure. The shaft is made from AISI 1018 họt-rolled steel that has been machined to its final diameter. Based on a stress element on the outer surface at the cross-section A, determine a suitable diameter of the pin, rounded up to the next mm increment, to provide at least a factor of safety of 1.5 for both infinite fatigue life and for yielding. F = 6000 N Problem 6-11

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For the frame shown in Fig. 6-24a, draw the free-body diagrams of (a) the entire frame including the pulleys and cords, (b) the frame without the pulleys and cords, and (c) each of the pulleys. 3E Fx=0 +9 E fy=o 1. FIMD RXAS AT A$D Fing FoRLE componeAB 2. Ge Pits oF POLLEYS EM=0 Cx C By E Ay T. Ay AauLE OF RESOUTAT AT B, C &A 75 lb SKETCH RESULTALT (a) Fueo Manat AT BASE ア(y 7516 OF CULUneCE radius of the pulley at B linch Yadius of the Pulley at c a7s inch 75 lbs 7516 () Distance BE 7inch Distance EA 4.5 inch Distance AV : 3.sinch Ay 6) 7516 マへ

Bolts distributed about a bolt circle are often called upon to resist an external bending moment as shown in the figure. The external moment is 19 kip-in and the bolt circle has a diameter of 15 in. The neutral axis for bending is a diameter of the bolt circle. What needs to be determined is the most severe external load seen by a bolt in the assembly. M Neutral axis R NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. View the effect of the bolts as placing a line load around the bolt circle whose intensity FÅ, in pounds per inch, varies linearly with the distance from the neutral axis according to the relation Fb Fb,max R sin 8. The load on any particular bolt can be viewed as the effect of the line load over the arc associated with the bolt. For example, there are 12 bolts shown in the figure. Thus, each bolt load is assumed to be distributed on a 30° arc of the bolt circle. Under these conditions, what is the largest bolt…

The figure shows the combined design of an angular contact ball bearing on two fulcrums. The radial loads R1 and R2 and axial load Fa of bearings 1 and 2 are shown in the figure. The relationship between the derived axial force S and radial load R is: S = 0.25R. Calculate the actual axial force of bearing 1 and bearing 2? Fa= 360N R1=4000N R2=4250N Problem 5) Figure

Required Information A rotating shaft of 25-mm diameter is simply supported by bearing reaction forces Rjand R2. The shaft Is loaded with a transverse load of 13 kN as shown in the figure. The shaft is made from AISI 1045 hot-rolled steel. The surface has been machined. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. 200 mm 25 mm 13 kN 50 mm- Not to scale Determine the endurance limit, adjusted as necessary with Marin factors. The endurance limit is 210.7 MPa.

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A solid round bar with diameter of 2 in has a groove cut to a diameter of 1.8 in, with a radius of 0.1 in. The bar is not rotating. The bar is loaded with a repeated bending load that causes the bending moment at the groove to fluctuate between 0 and 25 000 lbf in. The bar is hot-rolled AISI 1095, but the groove has been machined. Determine the factor of safety for fatigue based on infinite life and the factor of safety for yielding. Plars & .

Problem 17 A joint shown has the basic layout shown in the diagram below. (All dimensions on the diagram are in inches.) A single pin of diameter 0.5 inches (A = 0.2 in2) holds together the yoke and bar as shown. The material has an ultimate strength in tension of 80 ksi, and an ultimate strength in shear of 45 ksi. The load P has a value of 10000 lb. By examining the shear stress in the pin, the normal stress in the yoke, and the normal stress in the bar, find the overall factor of safety for the joint. P=10,000 lb YOKE -0.5 PIN BAR P=10,000 lb 1.5- 20 1.5 0.5 0.5

8-75 A vertical channel 152 X 76 (see Table A–7) has a cantilever beam bolted to it as shown. The channel is hot-rolled AISI 1006 steel. The bar is of hot-rolled AISI 1015 steel. The shoulder bolts are M10 × 1.5 ISO 5.8. Assume the bolt threads do not extend into the joint. For a design factor of 2.0, find the safe force F that can be applied to the cantilever. 8T-8 12 Problem 8-75 in millimeters. 50 -50→-50→261! 125 000