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STRENGTH UNDER STATIC CIRCUMSTANCES 28.11
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FIGURE 28.4 Rectangular bar with a transverse hole in bending. o = Mc/I, where I = (w d)h3/12. (From Peterson [28.2].)
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4 Do di4 Do 1/3 4 do di4 do 1/3
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(28.7)
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where D, d = diameters of solid stepped shaft (Fig. 28.10) Do, do = diameters of hollow stepped shaft di = hole diameter
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FIGURE 28.5 Notched rectangular bar in tension or simple compression. o = F/A, where A = td and t = thickness. (From Peterson [28.2].)
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FIGURE 28.6 Notched rectangular bar in bending. o = Mc/I, where c = d/2, I = td 3/12, and t = thickness. (From Peterson [28.2].)
FIGURE 28.7 Rectangular filleted bar in tension or simple compression. o = F/A, where A = td and t = thickness. (From Peterson [28.2].)
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STRENGTH UNDER STATIC CIRCUMSTANCES 28.13
STRENGTH UNDER STATIC CIRCUMSTANCES
FIGURE 28.8 Rectangular filleted bar in bending. o = Mc/I, where c = d/2, I = td 3/12, and t = thickness. (From Peterson [28.2].)
The fillet radius is unchanged. No change is necessary for axial loading because of the uniform stress distribution.
28.4 FRACTURE MECHANICS
Stress-concentration factors are really of little use when brittle materials are used or when a very small crack or flaw exists in the material. Ductile materials also may fail
FIGURE 28.9 Round shaft with shoulder fillet in tension. o = F/A, where A = d 2/4. (From Peterson [28.2].)
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STRENGTH UNDER STATIC CIRCUMSTANCES 28.14
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FIGURE 28.10 Round shaft with shoulder fillet in torsion. o = Tc/J, where c = d/2 and J = d4/32. (From Peterson [28.2].)
FIGURE 28.11 Round shaft with shoulder fillet in bending. o = Mc/I, where c = d/2 and I = d4/64. (From Peterson [28.2].)
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STRENGTH UNDER STATIC CIRCUMSTANCES 28.15
STRENGTH UNDER STATIC CIRCUMSTANCES
FIGURE 28.12 Round shaft in torsion with transverse hole. (From Peterson [28.2].)
in a brittle manner, possibly because of low temperature or other causes. So another method of analysis is necessary for all materials that cannot yield and relieve the stress concentration at a notch, defect, or crack. Fracture mechanics can be used to determine the average stress in a part that will cause a crack to grow; energy methods of analysis are used (see Ref. [28.4]).
FIGURE 28.13 Round shaft in bending with a transverse hole. o = M/[( D3/32) (dD2/6)], approximately. (From Peterson [28.2].)
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STRENGTH UNDER STATIC CIRCUMSTANCES 28.16
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FIGURE 28.14 Plate loaded in tension by a pin through a hole. o = F/A, where A = (w d)t. When clearance exists, increase Kt by 35 to 50 percent. (From M. M. Frocht and H. N. Hill, Stress Concentration Factors around a Central Circular Hole in a Plate Loaded through a Pin in Hole, Journal of Applied Mechanics, vol. 7, no. 1, March 1940, p. A-5, with permission.)
FIGURE 28.15 Grooved round bar in tension. o = F/A, where A = d 2/4. (From Peterson [28.2].)
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