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bending moment
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Published: 01 January 2002
Fig. 22 Distortion in the web gap. M, bending moment; L, gap between surface of flange and weld to web
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Published: 01 January 2002
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Published: 15 January 2021
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.steel.c9001513
EISBN: 978-1-62708-232-7
..., the individual corrosion pits acted as stress raisers and initiated coarse grain spalling. Due to a bending moment on the rotating element, this in turn initiated bending fatigue normal to the longitudinal axis, which propagated through to the bore of the inner ring. Stain marks were visible in the bore...
Abstract
While in the stationary mode, capillary action at the contact line between roller and race in a steel rolling mill taper bearing caused a concentration of lubricant and moisture to occur. This lead to lines of corrosion pits at roller intervals. During subsequent operation, the individual corrosion pits acted as stress raisers and initiated coarse grain spalling. Due to a bending moment on the rotating element, this in turn initiated bending fatigue normal to the longitudinal axis, which propagated through to the bore of the inner ring. Stain marks were visible in the bore at a spacing corresponding to roller intervals where lubricant had flowed through the cracks from the race.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.modes.c0048846
EISBN: 978-1-62708-234-1
... and in the circumferential direction in response to a bending moment load. It was concluded that the primary cause of failure was the occurrence of bending stresses that exceeded the stress levels predicted by design calculations and that were higher than the maximum allowable primary membrane stress. Bending stresses...
Abstract
A main steam pipe was found to be leaking due to a large circumferential crack in a pipe-to-fitting weld in one of two steam leads between the superheater outlet nozzles and the turbine stop valves (a line made of SA335-P22 material). The main crack surface was found to be rough, oriented about normal to the outside surface, and had a dark oxidized appearance. The cracking was found to be predominantly intergranular. Distinct shiny bands that etched slower than the remainder of the sample at the top of each individual weld bead were revealed by microscopic examination. These bands were found contain small cracks and microvoids. A mechanism of intergranular creep rupture at elevated temperature was identified as a result of a series of stress-rupture and tensile tests. It was revealed by the crack shape that cracking initiated on the pipe exterior, then propagated inward and in the circumferential direction in response to a bending moment load. It was concluded that the primary cause of failure was the occurrence of bending stresses that exceeded the stress levels predicted by design calculations and that were higher than the maximum allowable primary membrane stress.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.aero.c9001746
EISBN: 978-1-62708-217-4
... was inadequate procedure, which resulted in bending moments being applied to the bolt threads. Acid pickling Bolts Cadmium plating Landing gear Torque 4340 UNS G43400 Surface treatment related failures Hydrogen damage and embrittlement Fig. 1 shows a failed beam from a landing gear...
Abstract
Brittle intergranular fracture, typical of a hydrogen-induced delayed failure, caused the failure of an AISI 4340 Cr-Mo-Ni landing gear beam. Corrosion resulting from protective coating damage released nascent hydrogen, which diffused into the steel under the influence of sustained tensile stresses. A second factor was a cluster of non-metallic inclusions which had ‘tributary’ cracks starting from them. Also, eyebolts broke when used to lift a light aircraft (about 7000 lb.). The bolt failure was a brittle intergranular fracture, very likely due to a hydrogen-induced delayed failure mechanism. As for the factors involved, cadmium plating, acid pickling, and steelmaking processes introduce hydrogen on part surfaces. As a second contributing factor, both bolts were 10 Rc points higher in hardness than specified (25 Rc), lessening ductility and notch toughness. A third factor was inadequate procedure, which resulted in bending moments being applied to the bolt threads.
Book Chapter
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001781
EISBN: 978-1-62708-241-9
... moments generated during the downswing aggravated by manufacturing defects and stress concentration combined to create an overload condition. golf club fracture stress concentration aluminum alloy casting voids mechanical testing bending moment A360 (3xx.x series, cast aluminum-silicon alloy...
Abstract
A commercial hybrid-iron golf club fractured during normal use. The club fractured through its cast aluminum alloy hosel. Optical analysis revealed casting pores through 20% of the hosel thickness. Mechanical properties were determined from characterization results, then used to construct a finite element model to analyze material performance under failure conditions. In addition, a full scale structural test was conducted to determine failure strength. It was concluded that the club failed not from ground impact but from a force reversal at the bottom of the downswing. Large moments generated during the downswing aggravated by manufacturing defects and stress concentration combined to create an overload condition.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001763
EISBN: 978-1-62708-241-9
... gear box, the rotating shaft usually endures loadings associated with torsion and bending moments, producing a steady torsion stress and cyclic bending stress. As a result, the shafts are susceptible to fatigue failure during the operation [ 1 ]. In this study, the reverse shaft was used...
Abstract
This paper presents a failure analysis of a reverse shaft in the transmission system of an all-terrain vehicle (ATV). The reverse shaft with splines fractured into two pieces during operation. Visual examination of the fractured surface clearly showed cracks initiated from the roots of spline teeth. To find out the cause of fracture of the shaft, a finite element analysis was carried out to predict the stress state of the shaft under steady loading and shock loading, respectively. The steady loading was produced under normal operation, while the shock loading could be generated by an abrupt change of operation such as start-up or sudden braking during working. Results of stress analysis reveal that the highest stressed area coincided with the fractured regions of the failed shaft. The maximum stress predicted under shock loading exceeded the yield strength and was believed to be the stimulant for crack initiation and propagation at this weak region. The failure analysis thus showed that the premature fatigue fracture of the shaft was caused by abnormal operation. Finally, some suggestions to enhance service durability of the transmission system of ATV are discussed.
Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.auto.c0001784
EISBN: 978-1-62708-218-1
... 130 19 Fig. 1 Original and revised lever designs showing plot of stresses in the original and redesigned part. Dimensions given in millimeters As a simple lever, the stress at section A would be calculated as follows: (Eq 1) Bending moment = M = ( force...
Abstract
Field fatigue failures occurred in a hand-operated gear shift lever mechanism made of 1049 medium carbon steel hardened to 269 to 285 HB. The failures occurred in the 3.18 mm (0.127 in.) radius. Redesign increased the shift lever's diameter to 25 mm (1 in.) and the radius to 4.75 mm (0.187 in.). Also, instead of the as-forged surface, it was expedient to machine the radius. The as-forged surface at 360 MPa (52 ksi) maximum working stress would not ensure satisfactory life because the recalculated maximum stress was 390 MPa (57 ksi). However, the machined surface with a maximum working stress of 475 MPa (69 ksi) gives a safe margin above the 390 MPa (57 ksi) requirement for design stress. Interpreting these values, the forged surface should have a life expectancy of 1,000,000 cycles of stress. However, because the load cycle was somewhat uncertain, the machined radius was chosen to obtain a greater margin of safety. Redesigning eliminated the failures.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.matlhand.c0046160
EISBN: 978-1-62708-224-2
.... The axial movement of the crane wheel allowed the torsional moment to be displaced toward the location of the maximum bending moment, increasing the total effective stress. The edges of the portion of the keyway in the broken axle were battered and misshapen ( Fig. 1c ), apparently from repeated impact...
Abstract
A stepped drive axle (hardened and tempered resulfurized 4150 steel forging) used in a high-speed electric overhead crane (rated at 6800 kg, or 7 tons, and handling about 220 lifts/day with each lift averaging 3625 to 5440 kg, or 4 to 6 tons) broke after 15 months of service. Visual examination of the fracture surface revealed three fracture regions. The primary fracture occurred approximately 50 mm (2 in.) from the driven end of the large-diam keywayed section on the stepped axle and approximately 38 mm (1 in.) from one end of the keyway where the crane wheel was keyed to the axle. Macroscopic, microscopic, and chemical examination revealed composition that was basically within the normal range for 4150 steel. This evidence supports the conclusion that cracking initiated at a location approximately opposite the keyway, and final fracture was due to mixed ductile and brittle fracture. Axial shift of the crane wheel during operation, because of insufficient interference fit, was the major cause of fatigue cracking. Recommendations included redesigning the axle to increase the critical diameter from 140 to 150 mm (5.5 to 6 in.) and to add a narrow shoulder to keep the drive wheel from shifting during operation.
Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.process.c9001416
EISBN: 978-1-62708-235-8
.... Calculation of the longitudinal stress in the cylinder at the junction with the flat end showed: Stress due to pressure (4,480 p.s.i.) = 7,580 p.s.i. Additional stress due to bending moment = 30,100 p.s.i. Total longitudinal stress =37,680 p.s.i. Assuming that the material possessed a yield...
Abstract
Hydraulic cylinders on three identical presses failed in a similar manner after approximately ten years' service life. The cylinder was a steel casting having a carbon content of the order of 0.3 to 0.4%. During machining of the internal surfaces, a sharp corner had been left at the junction of the head with the shell. From this stress raiser a fatigue crack had developed around the entire circumference of the cylinder to give a smooth crack of annular form. The use of a flat end to the cylinder, therefore, resulted in excessive stresses being introduced at the junction of the end with the cylinder.
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.modes.c9001459
EISBN: 978-1-62708-234-1
... unidirectional bending moment evenly distributed along the length considered. As the section is uniform, the maximum tensile stress in the plane of bending will be constant, as indicated by the thin arrows, the lengths of which are proportional to the stress intensity in any of the diagrams in which...
Abstract
Fundamentals of fatigue failure are outlined. Addressed are fatigue crack characteristics, basic crack types, unidirectional bending, alternate bending, rotary bending, torsion, direct stress, and combined stress. Stress cycle, endurance limits, under and overstressing, stress concentration, and surface condition are discussed. Sections are devoted to fatigue crack assessment, corrosion relation to fatigue failure, and the micro-mechanisms of fatigue failure. Materials considered include steels. Photographs of service failures are used to illustrate features alluded to in the text.
Series: ASM Failure Analysis Case Histories
Volume: 1
Publisher: ASM International
Published: 01 December 1992
DOI: 10.31399/asm.fach.v01.c9001058
EISBN: 978-1-62708-214-3
.... In contrast, the threads on portions that were exposed were covered with a dirty deposit, possibly from a pipe-sealing compound that may been used in a preliminary attempt to seal the leak from the outside. A small section of thread was missing, having broken off because of the bending moments caused...
Abstract
A white cast iron water-line plug in a fire sprinkler systems split during leak repair. Examination revealed no material flaws, fatigue, or excessive corrosion. The plug head exhibited signs of excessive loads used in attempts to force the plug farther into the pipe. The evidence obtained indicated that the failure resulted from human error.
Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.auto.c0047521
EISBN: 978-1-62708-218-1
... at the weld by creating a steep gradient in section modulus at that point. The natural swaying of the load carried by the trailer imposed high bending-moment stresses on the channels of the supplementary axle assembly, raising the stress concentration at the weld to above the yield strength of the material...
Abstract
A supplementary axle, which was used as an extension to a highway-trailer tractor to increase its load-bearing capacity, failed in service. The rolled steel channel extensions that secured the axle assembly to the tractor main-frame I-beams fractured transversely, with the crack in each instance initiating at a weld that joined the edge of the lower flange to the support bracket casting. The cracks propagated through the flange on each side until the effective cross-sectional area had been reduced sufficiently to bring about sudden and complete fracture of the remaining web and upper flange. Fatigue fracture was caused by a combination of high bending stresses in the bottom flanges of the channels due to the heavy load being carried, concentration of stresses due to the rapid change in section modulus of the channel at its point of attachment to the support-bracket casting, and brittleness of the high-hardness HAZ of the weld associated with the abnormally high carbon content in the central part of the channel. Welding of channel edges contributed to harmful gradients in section moduli and should be avoided in future assemblies.
Book Chapter
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.conag.c9001471
EISBN: 978-1-62708-221-1
... of initiation of the fracture was located in the most highly stressed part of the hook where it had been subjected to both the greatest bending moment and the greatest direct tensile stress, there was also present a discontinuity in the form of a crack or fissure, whilst the material was low in carbon...
Abstract
A crane hook was stamped S.W.L. 3 tons and, while its main dimensions were in approximate accordance with those specified in B.S. 482 for a hook of this capacity, its shape in some respects was not exactly in conformity with that recommended. At the time of fracture, the load being lifted was slightly under 10 cwts. Fracture occurred away from the normal wearing surface where the hook makes contact with the lifting slings. There was no evidence that fracture was preceded by any appreciable deformation locally or in the region of the failure. A sulphur print, taken on a cross section of the hook adjacent to the plane of fracture, showed the hook was made from a killed steel free from major segregation. Microscopic examination showed the material to be a mild steel in the normalized condition, the carbon content being of the order of 0.25%. Bend tests showed the material at the intrados of the hook would deform in a ductile manner both under slow and impact-loading conditions if in the form of an unnotched test piece, but if notched, it failed in a brittle manner under impact, though not under slow loading.
Series: ASM Failure Analysis Case Histories
Volume: 2
Publisher: ASM International
Published: 01 December 1993
DOI: 10.31399/asm.fach.v02.c9001370
EISBN: 978-1-62708-215-0
... moment. The presence of multiple cracks normally implies a relatively high applied load and rotational bending. When a shaft is rotated in only one direction, the crack advances asymmetrically, as evidenced by the fact that the final failure took place some distance from the censer. The final failure...
Abstract
A service water pump in a nuclear reactor failed when its shaft gave way. The fracture originated in the threaded portion of the sleeve nut on the drive-end side of the shaft. Results of the failure analysis showed that the cracking initiated at the thread root as a result of corrosion fatigue. Crack propagation occurred either by corrosion or mechanical fatigue. Evidence was found indicating high rotary bending stresses on the shaft during operation. The nonstandard composition of the En 8 steel used in the shaft and irregular maintenance reduced the life of the shaft. Recommendations included use of a case-hardened En 8 steel with the correct composition and regular maintenance of the pump.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001792
EISBN: 978-1-62708-241-9
.... This misalignment can cause vibration and ultimately result in a fatigue failure in the shaft [ 1 ]. A gear shaft is usually subject to a high torsional moment and a bending moment as well as cyclic stresses which, when combined, may cause fatigue in the shaft. These factors may be influenced by stress...
Abstract
Two shafts that transmit power from the engine to the propeller of a container ship failed after a short time in service. The shafts usually have a 25 year lifetime, but the two in question failed after only a few years. One of the shafts, which carries power from a gearbox to the propeller, is made of low alloy steel. The other shaft, part of a clutch mechanism that regulates the transmission of power from the engine to the gears, is made of carbon steel. Fracture surface examination of the gear shaft revealed circumferential ratchet marks with the presence of inward progressive beach marks, suggesting rotary-bending fatigue. The fracture surfaces on the clutch shaft exhibited a star-shaped pattern, suggesting that the failure was due to torsional overload which may have initiated at corrosion pits discovered during the examination. Based on the observations, it was concluded that rotational bending stresses caused the gear shaft to fail due to insufficient fatigue strength. This led to the torsional failure of the corroded clutch shaft, which was subjected to a sudden, high level load when the shaft connecting the gearbox to the propeller failed.
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001842
EISBN: 978-1-62708-241-9
... subject the roll to cyclic bending stress as it rotated in place are: (a) The weight of the roll, determined to be 10.5 lb/in (1838 N/m). (a) The belt tension, known to be 28 lb/in (4906 N/m). Fig. 12 Roll load diagram and corresponding moment diagram Shown also as part of Fig...
Abstract
A felt guide roll fractured in-service on a paper manufacturing machine, damaging the belt as well as multiple dryer rolls, nearby felt guide rolls, and the frame of the machine. The investigation included visual and stereoscopic examination, chemical and microstructural analysis, microhardness and tensile testing, stress calculations, and vibration measurements. Based on the results, the roll fracture was attributed to high-cycle fatigue associated with a plug weld over one of the five threaded fasteners added to secure a balance weight inside the roll. The balance weight was installed to compensate for variations in wall thickness (i.e., weight distribution) of the pipe product used to make the roll. According to the investigation, resonance and vibration, which were initially considered, did not cause the failure.
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006767
EISBN: 978-1-62708-295-2
... are functions of their position on the cut surface. The possibility that the stresses σ and τ are functions of position on the surface must also be permitted (as in the stress field around a stress concentrator or a stress state in bending or torsion). In addition, if the surface is cut in a different...
Abstract
This article describes concepts and tools that can be used by the failure analyst to understand and address deformation, cracking, or fracture after a stress-related failure has occurred. Issues related to the determination and use of stress are detailed. Stress is defined, and a procedure to deal with stress by determining maximum values through stress transformation is described. The article provides the stress analysis equations of typical component geometries and discusses some of the implications of the stress analysis relative to failure in components. It focuses on linear elastic fracture mechanics analysis, with some mention of elastic-plastic fracture mechanics analysis. The article describes the probabilistic aspects of fatigue and fracture. Information on crack-growth simulation of the material is also provided.
Series: ASM Failure Analysis Case Histories
Volume: 1
Publisher: ASM International
Published: 01 December 1992
DOI: 10.31399/asm.fach.v01.c9001054
EISBN: 978-1-62708-214-3
... at the center of the span at the location of maximum bending moment. Therefore, the induced bending stresses were normal to the plane of the joint. Loading of the specimen was achieved by tightening a lubricated screw against the specimen with a calibrated wrench to a predetermined torque. The loading...
Abstract
Silver solid-state bonded components containing uranium failed under zero or low applied load several years after manufacture. The final operation in their manufacture was a proof loading that applied a sustained tensile stress to the bond, which all components passed. The components comprised circular cylinders fabricated by plating a thin layer of silver on each of the contact surfaces (uranium and stainless steel) and pressing the parts together at elevated temperature to solid-state bond the two silver surfaces. The manufacturing process produced a high level of residual stress at the bond. The failures appeared to be predominantly located between the silver layer and the uranium substrate. Normal fracture location of specimens taken from similar components was at the silver/silver bond interface. Laboratory testing revealed that the uranium/silver joint was susceptible to premature failure by stress-corrosion cracking under sustained loading if the atmosphere was saturated with water vapor.
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