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Design of Machine
Mechanical Design of Machine Components
192 SOLVED PROBLEMS
Question: 9.5
Determining Critical Speed of a Hollow Shaft A shaft with inner and outer diameters of d and D, respectively, is mounted between bearings and supporting two wheels as shown in Figure 9.8. Calculate the critical speed in rpm, applying (a) the Rayleigh method and (b) the Dunkerley method. Given: ...
Verified Answer:
The moment of inertia of the cross section is [lat...
Question: 16.3
Rotating Blade Design Analysis A disk of uniform thickness is used at 12,000 rpm as a rotating blade for cutting blocks of paper or thin plywood. The disk is mounted on a shaft of 1 in. radius and clamped, as shown in Figure l6.9. Determine a. The factor of safety n according to the maximum shear ...
Verified Answer:
The material properties are (Table B.1)
\b...
Question: 18.CS.8
Swivel Hook Design Analysis A crane hook for the winch crane, shown in Figure 18.8a, is rated at P = 3 kN. Determine the tangential stresses at points A and B using Winkler’s formula. Note that, for a large number of manufactured crane hooks, the critical section AB can be closely approximated by ...
Verified Answer:
See Figures 18.7 and 18.8; Section 16.8. Referring...
Question: 18.CS.5
Gearbox Shafting Design Figure 18.5 shows the input shaft of the crane gearbox, supported in the gearbox by bearings A and B and driven by electric motor. Determine a. The factor of safety n for the shaft using the maximum energy of distortion theory incorporated with the Goodman criterion b. The ...
Verified Answer:
See Figure 18.5; Table A.9, Section 9.5. a. The re...
Question: 18.CS.2
Design Analysis of Arm CD The arm CD of a winch crane is represented schematically in Figure 18.2. Determine the maximum stress and the factor of safety against yielding. What is the deflection under the load using the method of superposition? Given: The geometry and loading are known from Case ...
Verified Answer:
See Figures 18.2 and 18.3; and Table B.1, Section ...
Question: 18.CS.1
Entire Frame Load Analysis Consider the crane winch depicted in Figure 18.1. The entire frame of this machine is illustrated in Figure 18.2. Determine a. The design load on the front and rear wheels b. The factor of safety nt for the crane tipping forward from the loading Given: The geometry of ...
Verified Answer:
See Figure 18.2; Section 1.9. a. Reactional forces...
Question: 16.10
Design of a Conical Storage Tank A thin-walled container of conical shape supported from the top and filled with a heavyliquid metal of specific weight γ is shown in Figure 16.22 (see Example 6.6). Determine a. The expressions for the tangential stress σθ and meridional stress σϕ b. The factor of ...
Verified Answer:
Referring to Figure 16.22, we write
\phi=\...
Question: 15.8
Capacity of a Riveted Connection The standard AISC connection for the W310 × 52 beam consists of two 102 × 102 × 6.4 mm angles, each 215 mm long, 22 mm rivets spaced 75 mm apart are used in 24 mm holes (Figure 15.19). Calculate the maximum load that the connection can carry. Design Decisions: The ...
Verified Answer:
The web thickness of the beam is
t_{w}[/lat...
Question: 13.4
Analysis of a Roller-Chain Drive A three-strand ANSI No. 60, ¾ in. pitch roller chain transmits power from a N1-tooth driver sprocket operating at n1 rpm. Determine a. The design power capacity b. The tension in the chain c. The factor of safety n of the chain on the basis of ultimate strength ...
Verified Answer:
See Tables 13.7 through 13.10. a. For driver sproc...
Question: 9.CS.1
Motor-Belt-Drive Shaft Design for Steady Loading A motor transmits the power P at the speed of n by a belt drive to a machine (Figure 9.4a). The maximum tensions in the belt are designated by F1 and F2 with F1 > F2. The shaft will be made of cold-drawn AISI 1020 steel of yield strength Sy. Note ...
Verified Answer:
Reactions at bearings. From Equation 1.15, the tor...
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