Stress concentrations due to axial tension and bending of loaded axisymmetric projections

1983 ◽  
Vol 18 (1) ◽  
pp. 7-14 ◽  
Author(s):  
T H Hyde ◽  
B J Marsden

The finite element method has been used to investigate the behaviour of axisymmetric loaded projections (e.g., bolts) subjected to axial tension and bending. The results show that existing data for stepped shafts, which have the axial tension and bending loads applied remote from the region of the step, cannot be applied to loaded projections with the same geometry. For h/d (head thickness to shank diameter ratio) values greater than 0.66 and 0.41 for axial tension and bending, respectively, the stress concentration factors are independent of h/d, load position, and D/d (head diameter to shank diameter ratio) for D/d in the range 1.5 ≤ D/d ≤ 2.0. Smaller h/d values result in large increases in the stress concentration factors due to dishing of the head.

1993 ◽  
Vol 28 (3) ◽  
pp. 223-235 ◽  
Author(s):  
P Stanley ◽  
B J Day

The results of an extensive ‘frozen-stress’ photoelastic investigation of the stresses at isolated oblique holes in thick wide plates subjected to uniform uniaxial tension are used to provide stress concentration factors at holes resulting from any form of biaxial in-plane loading. The work covers plate thickness/hole diameter ratios from 1.3 to 3.0 and hole obliquity angles up to 60 degrees. Over these ranges the effects of changes in the plate thickness/hole diameter ratio are not of major importance but the effects of changes in the angle of obliquity are considerable.


Author(s):  
Nando Troyani ◽  
Gaetano Sterlacci ◽  
Nelson Jaimes ◽  
Carlos J. Gomes

As is well known stress concentration will appear in any application where some form of geometric discontinuity is present. To deal with such situations the so called Stress Concentration Factors (SCF) concept was developed and is widely used in both analysis and design of loaded components especially when subjected to fatigue, usually the working condition of vessels. However, recent observations suggest that the influence of member length on the magnitude of the stated SCF’s was not considered. In this work, this observation was studied in the context of cylindrical vessels and it was found that in this case, as well, length could be a critical factor when computing stresses developed as a result of externally applied loads. The values of the Finite Element (FE) calculated Theoretical Stress Concentration Factors (TSCF’s) are computed, for the case of short circular cylinders with circular holes subjected to axial tension, and presented in a fashion similar to existing published results. It is shown that significantly larger stress concentrations appear for short members. The novel concept of transition length, that defines the threshold between long plates and short plates, is discussed in the context of this study and reported as well.


1994 ◽  
Vol 29 (2) ◽  
pp. 93-100 ◽  
Author(s):  
S J Hardy ◽  
M K Pipelzadeh

The finite element method has been used to obtain stress concentration factor data for flat ‘T’ shaped components, subjected to axial and shear loading, with both remote and local restraints being applied. The ratio of length to depth (or slenderness ratio) of the shank region is generally less than 3:1. For these short components under shear (or bending) loads, primary bending stresses are no longer dominant and transverse shear is an important secondary effect. Comparisons are made between the predictions with remote and local restraints in order to quantify the effect of localizing the restraints (or load).


1972 ◽  
Vol 94 (3) ◽  
pp. 815-824 ◽  
Author(s):  
J. C. Gerdeen

An approximate theoretical analysis is presented for the determination of stress concentration factors in thick walled cylinders with sideholes and crossholes. The cylinders are subjected to both internal pressure and external shrink-fit pressure. Stress concentration factors are plotted as functions of the geometrical ratios of outside diameter-to-bore diameter, and bore diameter-to-sidehole diameter. Theoretical results are compared to experimental values available in the literature and results of experiments described in a separate paper.


1964 ◽  
Vol 15 (1) ◽  
pp. 83-96 ◽  
Author(s):  
K. R. Rushton

SummaryThe elastic stress concentration factors for the torsion of solid and hollow shouldered shafts have been determined by means of a pure resistance electrical analogue. Fillet radii ranged from 0.05 to 1.0 times the diameter of the smaller shaft, and the shoulder diameter increased from 1.0 to 8.10 times the diameter of the smaller shaft. A comparison is made with the results of other techniques. A study has also been made of the formation of a plastic region in the neighbourhood of the fillet.


1983 ◽  
Vol 50 (4a) ◽  
pp. 845-848 ◽  
Author(s):  
H. Fukuda ◽  
T. W. Chou

This paper examines the load redistribution in a hybrid composite sheet due to fiber breakage. The hybrid composite contains both high modulus and low modulus fibers arranged in alternating positions. Stress concentration factors for both types of fibers immediately adjacent to a group of fractured fibers have been evaluated. The method of influence function and Fourier series representation are adopted. Results of stress concentration factors are presented in terms of the number of fractured fibers and their geometric arrangements. Reduction of the stress concentration factor of the high modulus fibers when dispersed among the low modulus fibers provides a theoretical explanation of the observed “hybrid effect.” The present analysis can be readily incorporated into a failure model taking into account the statistical nature of fiber strength.


Author(s):  
I Bickley ◽  
V D'Olier ◽  
H Fessler ◽  
T. H. Hyde ◽  
N. A. Warrior

Single-throw, epoxy resin models of five overlapped crankshafts with side-by-side connecting rods have been loaded in pure torsion or bending. Bending loads considered are those due to the radial or tangential components of the connecting rod force and those due to pure radial bending or radial bending due to journal displacement. After the photoelastic frozen-stress cycle, deformations and stresses in the crankpin and journal fillets were measured. The principal stresses were determined over the whole highly stressed (toroidal) fillet surfaces. At each angular position around the crankpin and journal the magnitude, meridional position and direction of the greatest principal stress were obtained. In torsion these maxima were fairly constant with angular position, whereas in bending they varied linearly, as in a simple beam in bending. The results were expressed as stress concentration factors based on nominal stresses in a bar of the same diameter as the crankpin.


1994 ◽  
Vol 116 (2) ◽  
pp. 49-55 ◽  
Author(s):  
A. K. Soh ◽  
C. K. Soh

A parametric stress analysis of DT/X square-to-square and square-to-round tubular joints subjected to axial loads, in-plane, and out-of-plane bending moments has been performed using the finite element technique in order to provide a sound basis for using such sections in the design of complex structures. The results of this analysis are presented as a set of equations expressing the stress concentration factor as a function of the relevant geometric parameters for various loading conditions. A comparison is made between the results obtained for square-to-square and square-to-round tubular joints and those obtained for round-to-round tubular joints by other researchers. In general, the stress concentration factors for square-to-square tubular joints are the highest, followed by those of the corresponding round-to-round joints, with those of the corresponding square-to-round joints the lowest when the joints are subject to axial loads. In the case of in-plane bending moment, the stress concentration factors for square-to-square joints are generally still the highest, but followed by those of the corresponding square-to-round joints, with those of the corresponding round-to-round joints the lowest. However, the stress concentration factors for the three types of joint are comparable when they are subject to out-of-plane bending moments.


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