Fig. 7 Flow lines in a forged 4140 steel hook. Specimen was etched using 50% HCl. 0.5× More

Fig. 22 F-14 arresting hook gear as received following failure during carrier landing. Failure was the result of hydrogen embrittlement induced cracking at an area of high residual tensile strength. Courtesy of J. Yadon and K. Himmelheber, Naval Air Depot—Jacksonville More

Fig. 26 Orthodontic system bracket, slide, and hook. FloMet LLC, courtesy of MPIF More

Fig. 8 Metal injection molding 17-4 PH stainless steel hook, bracket, and slide (sintered density = 7.5 g/cm 3 , or 0.271 lb/in. 3 ) used in an orthodontic tooth-positioning system. Courtesy of MPIF More

Fig. 4 Flow lines, as shown in a longitudinal section taken through a hook that was forged from 4140 steel More

Fig. 12 Typical design of a 45,360-kg (50-ton) capacity 1020 steel C-hook with a stress-relief groove at end of threads and well-proportioned radii in body. Dimensions given in inches More

Fig. 13 13,600-kg (15-ton) 1020 steel crane hook that failed in fatigue. View of a fracture surface of the hook showing beach marks. Original and improved designs for the nut and the threaded end of the hook are also shown. Dimensions given in inches More

Fig. 14 Torch-cut 1040 steel coil hook that failed by fatigue. (a) Fracture region of the 10,890-kg (12-ton) hook. (b) Macrograph of a nital-etched section showing cracks propagating from the surface (top), which was hardened and embrittled during torch cutting. 7 1 2 ×. (c More

Fig. 19 Flow lines in a forged 4140 steel hook. Specimen was etched using 50% HCl. Original magnification 0.5× More

Fig. 23 Flow lines in a forged 4140 steel hook. Specimen was etched using 50% HCl. 0.5x More

Fig. 17 Effect of work metal, hook angle of tap, and percentage of full thread on torque. Speed: 18 m/min (60 sfm); other conditions, same as for Fig. 15 . More

Fig. 60 Schematic of a hook crack in a pipe caused by pipe-wall delamination after high-frequency welding. The “hook” has turned outward to follow the direction of metal flow in the outer portion of the upset weld zone. More

Fig. 31 Aluminum alloy adaptor hook forgings. (a) Hammer or press forging of original design. (b) Precision no-draft press forging of revised design, produced in a segmented die. See Example 9. Dimensions in figure given in inches Item Revised forging Material Aluminum alloy 7075 More

Fig. 8 Appearance of a hook crack in an electric-resistance weld. The thin white layer is a nickel coating that was applied to the fracture surface. More

Fig. 6 Flow lines in a forged 4140 steel hook. Specimen was etched using 50% HCl. 0.5×. Source: Ref 8 More

Fig. 30 1045 steel crane hook showing indications of forging laps of the type revealed by magnetic-particle inspection. Dimensions given in inches More

Fig. 39 Forged crane hook showing stress areas subject to inspection More

Fig. 40 50 kN (6 tonf) crane hook showing magnetic-particle indication of a forging lap, and section through hook showing depth of lap More

Fig. 5 Hooke-Jeeves optimization exercise with a quadratic function y = ( x 1 − 5) 2 + ( x 1 − 6) 2 starting from point [9, 2] More

Fig. 10 The force required to bend the cantilever distance d is given by Hooke’s law ( F = − kd ). In contact-mode atomic force microscopy, the deflection of the cantilever is measured by a laser reflected off the top of the cantilever. More