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torsional stress calculation

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Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001810
EISBN: 978-1-62708-241-9
... been fabricated from spring steel which, according to stress calculations, did not have sufficient torsional strength. Examination of the damaged parts confirmed the finding, revealing that all fractures started at a shoulder radius in an area of high stress concentration. Based on the investigation...
Series: ASM Failure Analysis Case Histories
Volume: 1
Publisher: ASM International
Published: 01 December 1992
DOI: 10.31399/asm.fach.v01.c9001119
EISBN: 978-1-62708-214-3
... initiated from the spring inside coil surface. Examination of the fracture surface using scanning electron microscopy showed no evidence of fatigue. Final fracture occurred in torsion. X-ray diffraction analysis revealed high inner-diameter residual stresses, indicating inadequate stress relief from spring...
Series: ASM Failure Analysis Case Histories
Volume: 3
Publisher: ASM International
Published: 01 December 2019
DOI: 10.31399/asm.fach.v03.c9001766
EISBN: 978-1-62708-241-9
... Fracture of the anchor occurred at the attachment weld of the uppermost blade. Both fracture surfaces are shown in Fig. 2 with the crack initiation sites noted. The fracture surface, while clearly displaying a helical pattern consistent with a torsional residual stress profile, fractured in tension...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.mech.c9001596
EISBN: 978-1-62708-225-9
...). An uncorrected torsional shear stress of 139.0 MPa was calculated. The value of the correction factor is 1.163, thus the corrected torsional stress is 161.7 MPa for the spring in the resting position. Characteristics of the helical compressor springs Table 3 Characteristics of the helical compressor...
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
... moment and C t for torsion moment, which were introduced in stress calculation [ 9 ]: (3) σ max = = 16 π d 3 C m M + C m M 2 + C t T 2 (4) τ max = = 16 π d 3 C m M 2 + C t T 2...
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
... analysis of the component is necessary. Stress analysis is initially performed in the design stage of a development project. Frequently, principal stresses and maximum shear stresses are important to the designer because both are used in common failure expressions to calculate maximum load capability (e.g...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003530
EISBN: 978-1-62708-180-1
... project. Frequently, principal stresses and maximum shear stresses are important to the designer because both are used in common failure expressions to calculate maximum load capability (e.g. multiaxial yield criteria). One failure mode theory is the Rankine (or maximum normal stress) criterion, where...
Series: ASM Handbook
Volume: 11B
Publisher: ASM International
Published: 15 May 2022
DOI: 10.31399/asm.hb.v11B.a0006930
EISBN: 978-1-62708-395-9
... for calculating shear rate and shear stress from geometry type and dimensions Table 2 Formulas for calculating shear rate and shear stress from geometry type and dimensions Parameter Cone and plate Parallel plate Shear Rate (γ̇) Ω/B ΩR/H Shear Stress (σ) 3T/(2πR 3 ) 2T/(πR 3 ) Ω...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.usage.c9001672
EISBN: 978-1-62708-236-5
.... Stress calculations were then conducted to determine the number of fractures possible as a result of fatigue due to spring deflection. The 1.27 cm (0.5 in.) diameter spring, d, had the following dimensions: 9 coils (7 active coils = N); free length (L f ) = 15.875 cm (6.25 in.); coil outside diameter (D...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006779
EISBN: 978-1-62708-295-2
..., whereas ductile materials are preferably described with the Gerber parabola. The diagrams for shear stresses (torsion, shear force) must be symmetrical to the y -axis, which leads, for example, to an elliptical failure line with the vertices T u (static torsion strength) and T alt (alternating...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.process.c0046210
EISBN: 978-1-62708-235-8
... (0.3 in.) below the main surface was indicative of compressive stresses on the surface. These stresses are caused by heat treatment and are clearly beneficial. The picture that develops is that the tensile stress due to torsional loading decreases linearly from a maximum at the surface to zero...
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
... 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...
Book Chapter

Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003544
EISBN: 978-1-62708-180-1
...-life criterion gas porosity heat treatment inclusions infinite-life criterion internal bursts macropitting micropitting reversed bending rolling-contact fatigue rotational bending strengthening stress distribution subcase fatigue thermal fatigue torsional loading FATIGUE damage...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0001813
EISBN: 978-1-62708-180-1
... of failures of springs that occur solely as the result of faulty design is comparatively small. However, there are occasional exceptions. For example, one of a test set of titanium alloy Ti-13V-11Cr-3Al torsionally stressed compression springs failed by fatigue after 12 × 10 6 cycles at a maximum stress...
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
... is between 270 and 390 MPa. These calculations only take into account the bending moment. The actual fracture involved torsion and plain shear in addition to the bending stress. In the following calculations, the location of failure is known; the failure point is 49.5 mm down the shaft line from...
Series: ASM Failure Analysis Case Histories
Publisher: ASM International
Published: 01 June 2019
DOI: 10.31399/asm.fach.power.c9001730
EISBN: 978-1-62708-229-7
... (power) Torsional fatigue 6150 UNS G61500 Fatigue fracture A unique failure developed in the central shaft of a coal pulverizer at our plant. A crack appeared in the shaft at one place and then welded by friction around the circumference while the pulverizer continued to operate. Then another...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006775
EISBN: 978-1-62708-295-2
..., bending, torsion). Finally, the factors influencing the appearance of a fracture surface and various imperfections or stress raisers are described, followed by a root-cause failure analysis case history to illustrate some of these fractography concepts. brittle fracture crack nucleation crack...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003538
EISBN: 978-1-62708-180-1
... geometric factors and materials aspects that influence the stress-strain behavior and fracture of ductile metals. It highlights fractures arising from manufacturing imperfections and stress raisers. The article presents a root cause failure analysis case history to illustrate some of the fractography...
Series: ASM Handbook
Volume: 11
Publisher: ASM International
Published: 15 January 2021
DOI: 10.31399/asm.hb.v11.a0006774
EISBN: 978-1-62708-295-2
... no normal stress acts along the neutral axis. (There is a shear stress at this location in bending, but in a homogeneous material, it is usually too small to initiate fracture. That may not be the case for a laminated structure loaded in bending.) Alternatively, brittle torsion failure is readily identified...
Series: ASM Handbook Archive
Volume: 11
Publisher: ASM International
Published: 01 January 2002
DOI: 10.31399/asm.hb.v11.a0003537
EISBN: 978-1-62708-180-1
... at that location because no normal stress acts at the centerline. (There is a shear stress at this location in bending, but in a homogeneous material, it is too small to initiate fracture. That might not be the case for a laminated structure loaded in bending.) Alternatively, brittle torsion failure is readily...