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Concept explainers
8–55 to
8–58 For the pressure cylinder defined in the problem specified in the table, the gas pressure is cycled between pg and pg/2. Determine the fatigue factor of safety for the bolts using the Goodman criterion.
Problem Number | Originating Problem Number |
8–55 | 8–33 |
8–56 | 8–34 |
8–57 | 8–35 |
8–58 | 8–36 |
8–33 to
8–36 The figure illustrates the non-permanent connection of a steel cylinder head to a grade 30 castiron pressure vessel using N bolts. A confined gasket seal has an effective sealing diameter D. The cylinder stores gas at a maximum pressure pg. For the specifications given in the table for the specific problem assigned, select a suitable bolt length from the preferred sizes in Table A–17, then determine the yielding factor of safety np, the load factor nL, and the joint separation factor n0.
11Russell, Burdsall & Ward, Inc., Metal Forming Specialists, Mentor, Ohio.
Problems 8–33 to 8–36
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Chapter 8 Solutions
Shigley's Mechanical Engineering Design (McGraw-Hill Series in Mechanical Engineering)
- Example -4s F(s) = = (s²+4)² As + B Cs+D + (s²+4) (s²+4)² (s²+4) (H.W)arrow_forwardQ1/ Find L[t et sin t] Q2/ Find The Laplace Transform f(t) = [sint [sint 0arrow_forwardb) The 50 mm diameter rod is placed in a hole, lubricated walls. There is no clearance between the rod and the sides of the hole. Determine the change in length of the rod if an 8 kN load is applied. Take E(brass) = 80 GPa; v = 0.55 [10] 50 mmm 300 rat 3arrow_forwardThe Mach number NM for flow of a perfect gas in a pipe depends upon the specific-heat ratio k (dimensionless), the pressure p, the density ρ, and the velocity V. Obtain by dimensional reasoning the form of the Mach number expression. (Buckingham pi)Answer: NM = f(V/sqrt(p/ρ), k)arrow_forwardoyfr 3. The figure shows a frame under the influence of an external loading made up of five forces and two moments. Use the scalar method to calculate moments. a. Write the resultant force of the external loading in Cartesian vector form. b. Determine the & direction of the resultant moment of the external loading about A. 15 cm 18 cm 2.2 N-m B 50 N 45° 10 cm 48 N.m 250 N 60 N 20 21 50 N 25 cm 100 N A 118, 27cm 5, 4:1arrow_forwardAssume the Link AO is the input and revolves 360°, determine a. the coordinates of limit positions of point B, b. the angles (AOC) corresponding to the limit positionsarrow_forwardoyfr 3. The figure shows a frame under the influence of an external loading made up of five forces and two moments. Use the scalar method to calculate moments. a. Write the resultant force of the external loading in Cartesian vector form. b. Determine the & direction of the resultant moment of the external loading about A. 15 cm 18 cm 2.2 N-m B 50 N 45° 10 cm 48 N.m 250 N 60 N 20 21 50 N 25 cm 100 N A 118, 27cm 5, 4:1arrow_forwardThe 2-mass system shown below depicts a disk which rotates about its center and has rotational moment of inertia Jo and radius r. The angular displacement of the disk is given by 0. The spring with constant k₂ is attached to the disk at a distance from the center. The mass m has linear displacement & and is subject to an external force u. When the system is at equilibrium, the spring forces due to k₁ and k₂ are zero. Neglect gravity and aerodynamic drag in this problem. You may assume the small angle approximation which implies (i) that the springs and dampers remain in their horizontal / vertical configurations and (ii) that the linear displacement d of a point on the edge of the disk can be approximated by d≈re. Ө K2 www m 4 Cz 777777 Jo Make the following assumptions when analyzing the forces and torques: тв 2 0>0, 0>0, x> > 0, >0 Derive the differential equations of motion for this dynamic system. Start by sketching LARGE and carefully drawn free-body-diagrams for the disk and the…arrow_forwardA linear system is one that satisfies the principle of superposition. In other words, if an input u₁ yields the output y₁, and an input u2 yields the output y2, the system is said to be linear if a com- bination of the inputs u = u₁ + u2 yield the sum of the outputs y = y1 + y2. Using this fact, determine the output y(t) of the following linear system: given the input: P(s) = = Y(s) U(s) = s+1 s+10 u(t) = e−2+ sin(t) =earrow_forwardThe manometer fluid in the figure given below is mercury where D = 3 in and h = 1 in. Estimate the volume flow in the tube (ft3/s) if the flowing fluid is gasoline at 20°C and 1 atm. The density of mercury and gasoline are 26.34 slug/ft3 and 1.32 slug/ft3 respectively. The gravitational force is 32.2 ft/s2.arrow_forwardUsing the Bernoulli equation to find the general solution. If an initial condition is given, find the particular solution. y' + xy = xy¯¹, y(0) = 3arrow_forwardTest for exactness. If exact, solve. If not, use an integrating factor as given or obtained by inspection or by the theorems in the text. a. 2xydx+x²dy = 0 b. (x2+y2)dx-2xydy = 0 c. 6xydx+5(y + x2)dy = 0arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
- Mechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage Learning
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