A double-decker train.EXERCISES1. A reciprocating steam engine connecting rod is subjected to a maximum load of 65 kN. Find thediameter of the connecting rod at its thinnest part, if the permissible tensile stress is 35 N/mm.[Ans. 50 mm)2. The maximum tension in the lower link of a Porter governor is 580 N and the maximum stress in thelink is 30 Nimm. If the link is of circular cross-section, determine its diameter.(Ans. 5 mm)ТорContentsSimple Stresses in Machine Parts 1173. A wrought iron rod is under a compressive load of 350 KN. If the permissible stress for the material is52.5 Nimm, cakculate the diameter of the rod.JAns. 95 mm)4. A load of 5 kN is to be raised by means of a steel wire. Find the minimum diameter required, if thestress in the wire is not to exceed 100 N/mm.(Ans. 8 mm)5. A square tie bar 20 mm x 20 mm in section carries a load. It is attached to a bracket by meansof 6 bolts. Calculate the diameter of the bolt if the maximum stress in the tie bar is 150 N/mm and inthe bolts is 75 N/mmJAns. 13 mm)6. The diameter of a piston of the steam engine is 300 mm and the maximum steam pressureis 0.7 N/mm. If the maximum permissible compressive stress for the piston rod material is40 N/mm, find the size of the piston rod.LAns. 40 mm)7. Two circular rods of 50 mm diameter are connected by a knuckle joint, as shown in Fig. 4.21, by a pinof 40 mm in diameter. If a pull of 120 kN acts at each end, find the tensile stress in the rod and shearJAns. 61 N/mm: 48 N/mmstress in the pin.Rod (1)Rod (2)PinFig. 4.21S. Find the minimum size of a hole that can be punched in a 20 mm thick mild steel plate having anultimate shear strength of 300 Nimm. The maximum permissible compressive stress in the punchmaterial is 1200 N/mm.(Ans. 20 mm]9. The crankpin of an engine sustains a maximum load of 35 kN due to steam pressure. If the allowablebearing pressure is 7 Nimm?, find the dimensions of the pin. Assume the length of the pin equal to 1.2times the diameter of the pin.(Ans. 64.5 mm; 80 mm)10. The following results were obtained in a tensile test on a mild steel specimen of original diameter20 mm and gauge length 40 mm.Load at limit of proportionality=80 kNExtension at 80 kN load= 0.048 mm= 85 kN= 150 kNWhen the two parts were fitted together after being broken, the length between gauge length wasLoad at yield pointMaximum loadfound to be 55.6 mm and the diameter at the neck was 15.8 mm.Caculate Young's modulus, yield stress, ultimate tensile stress, percentage elongation and percentagereduction in area.(Ans. 213 KN/mm: 270 N/mm; 478 N/mm; 39%; 38%I1. A steel rod of 25 mm diameter is fitted inside a brass tube of 25 mm internal dianmeter and 375 mmexternal diameter. The projecting ends of the steel rod are provided with nuts and washers. The nutsare tightened up so as to produce a pull of 5 kN in the rod. The compound is then placed in a lathe andthe brass is turmed down to 4 mm thickness. Calculate the stresses in the two materials.(Ans. 7 Nimm, 7.8 N/mm)Тор

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1. A reciprocating steam engine connecting rod is subjected to a maximum load of 65 kN. Find the diameter of the connecting rod at its thinnest part, if the permissible tensile stress is 35 Nmm. JAns. 50 mm

1. A reciprocating steam engine connecting rod is subjected to a maximum load of 65 kN. Find the diameter of the connecting rod at its thinnest part, if the permissible tensile stress is 35 Nmm. JAns. 50 mm

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter1: Tension, Compression, And Shear

Section: Chapter Questions

Problem 1.10.8P: A suspender on a suspension bridge consist of a cable that passes over the main cable (see figure)...

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A capped cast-iron pipe is compressed by a brass rod, as shown. The mil is turned until it is just snug, then add an additional quarter turn to pre-compress the cast-iron pipe. The pitch of the threads of the bolt ap = 52 mils (a mil is one-thousandth of an inch). Use the numerical properties provided. (a) What stresses a and arwill be produced in the cast-iron pipe and brass rod. respectively, by the additional quarter turn of the nut? (b) Find the bearing stress ahbeneath the washer and the shear stress t(in the steel cap.
A spherical balloon is filled with a gas. The outer diameter of the balloon is 20 in. and the thickness is 0,012 in. Calculate the maximum permissible pressure in the balloon if the allowable tensile stress and the allowable shear stress in the balloon are 1 ksi and 0.3 ksi, respectively.
A hollow, circular, cast-iron pipe (Ec =12,000 ksi) supports a brass rod (Ec= 14,000 ksi} and weight W — 2 kips, as shown. The outside diameter of the pipe is dc= 6 in. (a) If the allowable compressive stress in the pipe is S00O psi and the allowable shortening of the pipe is 0.02 in., what is the minimum required wall thickness trmm? (Include the weights of the rod and steel cap in your calculations.) (b) What is the elongation of the brass rod Srdue to both load Wand its own weight? (c) What is the minimum required clearance h?
The stresses on an element are sx= 1000 Psi. sy= 500 psi, and txy= 350 psi. Find the stresses acting on an element oriented at an angle 0 = 250. Show these stresses on the rotated element.
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Two bars AC and BC of the same material support a vertical load P (see figure). The length L of the horizontal bar is fixed, but the angle fl can be varied by moving support A vertically and changing the length of bar AC to correspond with the new position of support A. The allowable stresses in the bars are the same in tension and compression. When the angle ft is reduced, bar AC becomes shorter, but the cross-sectional areas of both bars increase because the axial forces are larger. The opposite effects occur if the angle 0 is increased. Thus, the weight of the structure (which is proportional to the volume) depends upon the angle ft. Determine the angle ft so that the structure has minimum weight without exceeding the allowable stresses in the bars. Note: The weights of the bars are very small compared to the force P and may be disregarded.
A pressurized circular cylinder has a sealed cover plate fastened with steel bolts (see figure). The pressure P of the gas in the cylinder is290psi, the inside diameter D of the cylinder is 10.0 in., and the diameter dBof the bolts is 0.50 in. I f the allowable tensile stress in the bolts is 10,000 psi, find the number n of bolts needed to fasten the cover.
A two-story building has steel columns AB in the first floor and BC in the second floor, as shown in the figure. The roof load P:equals 400 KN, and the second-floor load P-, equals 720 kN. Each column has a length L = 3.75 m. The cross-sectional areas of the first- and second-floor columns are 11,000 mm" and 3900 mm", respectively. (a) Assuming that E = 206 GPa. determine the total shortenings aof the two columns due to the combined action of the loads Ptand P,. (b) How much additional load P0can be placed at t he top of t he column (point C) if t he total shortening: SACis not to exceed 4.0 mm?
A suspender on a suspension bridge consist of a cable that passes over the main cable (see figure) and supports the bridge deck, which is Far below. The suspender is held in position by a metal tie that is prevented from sliding downward by clamps around the suspender cable. Let P represent the load in each part of the suspender cable, and let represent the angle of the suspender cable just above the tie. represent the allowable tensile stress in the metal tie. (a) Obtain a formula for the minimum required cross-sectional area of the lie. (b) Calculate the minimum area if P = 130 kN, = 75°, and allow=80 .
A simplified model of a basketball hoop is shown. During a basket dunk a player hangs from the rim applying a force of 320 lbs including a dynamic load factor. The stand is a square tube with 5 inches outside length and 0.25 inches thickness. The distance from the edge of the rim to the middle of the square tube is 4 ft. Assuming the model is rigid, the normal stress at point A is most closely equal to: a. 1284 psi b. 1248 psi c. 1212 psi d. 36 psi A