The stress distribution near a loading point in a uniform flanged beam

1952 ◽  
Vol 244 (886) ◽  
pp. 417-467 ◽  
Keyword(s):  
Stress Distribution ◽  
Maximum Stress ◽  
Elementary Theory ◽  
Steel Beam ◽  
Stress Distributions ◽  
Transverse Loading ◽  
Stress Concentrations ◽  
The Subject ◽  
Concentration Factors ◽  
Good Agreement

The elementary theory of bending, which is the method by which the stresses in a uniform flanged beam subjected to transverse loading are usually determined, leads to certain incompatibilities of displacement and stress distribution near a section of the beam at which load is applied. The present paper endeavours to remedy these deficiencies. Two main cases are considered: that in which the beam is loaded through the web and that in which it is loaded through the flanges. In both of these the analyses lead to stress concentrations in the outer fibres of the flanges, and it is found that the maximum stress concentrations, which occur at the loading section, may be expressed with an accuracy sufficient for most engineering purposes by means of simple formulae. For both cases, maximum concentration factors occur in short beams having large flanges and thin webs. Results of strain-gauge tests carried out on mild steel beam specimens are presented which show very good agreement between the predicted and experimental stress distributions in the flanges, and a further part of the paper compares the present analyses with other recent work on the subject.

Stress and Strength Analysis of Equal-Diameter Tees

1991 ◽  
Vol 113 (1) ◽  
pp. 55-63 ◽  
Author(s):  
J. Zhixiang ◽  
Z. Qingjiang ◽  
Z. Siding
Keyword(s):  
Finite Element ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Maximum Stress ◽  
Elastic Stress ◽  
Stress Factors ◽  
Strength Analysis ◽  
Stress Distributions ◽  
Concentration Factors ◽  
Stress Concentration Factors

The elastic stress distribution of four models (β=Do/Di=1.07, 1.20, unreinforced and weld-reinforced) under five typical external loadings and the strength of six models (in addition to β=1.50) under internal pressure are investigated experimentally. The maximum stress factors are obtained. The influences of weld-reinforced structure on stress distribution and strength characteristics of tees are discussed. The finite-element predictions of unreinforced tees with β=1.07, 1.11, 1.15, 1.20 are carried out. The predicted stress distributions agree well with measured results. The relation between β and stress concentration factors under various loadings are obtained.

Stress Distribution Analysis of Different Types of Blade for a Fermentation System

2013 ◽  
Vol 479-480 ◽  
pp. 319-323
Author(s):  
Cheng Chi Wang ◽  
Po Jen Cheng ◽  
Kuo Chi Liu
Keyword(s):  
Stress Distribution ◽  
Maximum Stress ◽  
Effective Means ◽  
Materials Processing ◽  
Distribution Analysis ◽  
Stress Distributions ◽  
Fermentation System ◽  
Different Types ◽  
Inclined Angle ◽  
Key Parameter

Fermentation system is widely used for food manufacturing, materials processing and chemical reaction etc. Different types of blade in the tank for fermentation cause distinct stress distributions on the surface between fluid and blade, and appear various flow fields in the tank. So, this paper is mainly focused on analyzing the stress field of blades under different scales of blade with fixing rotational speed. The results show that the ratio of blade length to width influences stress distribution on the blades. At the same time, the inclined angle of blade is also the key parameter for the consideration of design and appropriate design will decrease the maximum stress. The results provide an effective means of gaining insights into the stress distribution of fermentation system.

Steady-State stress distributions in circumferentially notched bars subjected to creep

1982 ◽  
Vol 17 (3) ◽  
pp. 123-132 ◽  
Author(s):  
K D Al-Faddagh ◽  
R T Fenner ◽  
G A Webster
Keyword(s):  
Steady State ◽  
Stress Distribution ◽  
Stress Index ◽  
Stress Distributions ◽  
Computer Solution ◽  
Time Intervals ◽  
Throat Region ◽  
Intermediate Time ◽  
State Stress ◽  
Good Agreement

The paper describes a procedure, based on a finite element method, for calculating directly the steady-state stress distribution in circumferentially notched bars subjected to creep without the need for obtaining solutions at intermediate time intervals. Good agreement is obtained with relevant approximate plasticity solutions and with numerical calculations which approach the steady-state over a period of time from the initial elastic stress distribution. Also, the procedure is equally applicable to primary, secondary, and tertiary creep, provided the variables of stress and time are separable in the creep law. Results obtained for a range of notch geometries and values of the stress index, n, are reported. It is found for each profile that a region of approximately constant effective stress, σ, independent of n, is obtained which can be used to characterise the overall behaviour of the notch throat region when a steady-state is reached sufficiently early in life. An approximate method for estimating the maximum equivalent steady-state stress across the notch throat is also presented which does not require a computer solution.

scholarly journals Effect of Fiber Posts on Stress Distribution of Endodontically Treated Upper Premolars: Finite Element Analysis

Nanomaterials ◽  
2020 ◽  
Vol 10 (9) ◽  
pp. 1708 ◽  
Author(s):  
Maciej Zarow ◽  
Mirco Vadini ◽  
Agnieszka Chojnacka-Brozek ◽  
Katarzyna Szczeklik ◽  
Grzegorz Milewski ◽  
...  
Keyword(s):  
Finite Element ◽  
Stress Distribution ◽  
Resin Composite ◽  
Von Mises Stress ◽  
Stress Distributions ◽  
Stress Concentrations ◽  
Element Analysis ◽  
Endodontically Treated Tooth ◽  
Maxillary Premolars ◽  
Von Mises

By means of a finite element method (FEM), the present study evaluated the effect of fiber post (FP) placement on the stress distribution occurring in endodontically treated upper first premolars (UFPs) with mesial–occlusal–distal (MOD) nanohybrid composite restorations under subcritical static load. FEM models were created to simulate four different clinical situations involving endodontically treated UFPs with MOD cavities restored with one of the following: composite resin; composite and one FP in the palatal root; composite and one FP in the buccal root; or composite and two FPs. As control, the model of an intact UFP was included. A simulated load of 150 N was applied. Stress distribution was observed on each model surface, on the mid buccal–palatal plane, and on two horizontal planes (at cervical and root-furcation levels); the maximum Von Mises stress values were calculated. All analyses were replicated three times, using the mechanical parameters from three different nanohybrid resin composite restorative materials. In the presence of FPs, the maximum stress values recorded on dentin (in cervical and root-furcation areas) appeared slightly reduced, compared to the endodontically treated tooth restored with no post; in the same areas, the overall Von Mises maps revealed more favorable stress distributions. FPs in maxillary premolars with MOD cavities can lead to a positive redistribution of potentially dangerous stress concentrations away from the cervical and the root-furcation dentin.

Numerical Analysis for the Characteristics of Stress Distribution on Lap Laser Welding Joint of Stainless Sheet Steel

2012 ◽  
Vol 472-475 ◽  
pp. 1192-1196
Author(s):  
Chun Yuan Shi ◽  
Lei Li ◽  
Hong Xiao Wang ◽  
Yu Xin Yao
Keyword(s):  
Stress Concentration ◽  
Stress Distribution ◽  
Laser Welding ◽  
Fatigue Test ◽  
Sheet Steel ◽  
Initiation Site ◽  
Stress Distributions ◽  
Welding Joint ◽  
Concentration Factors ◽  
Made In

It gave a better strength that taking lap laser welding (llw) instead of resistant spot welding (rsw) to assemble the framework and the flankwall of stainless steel car body structure, and the fracture situations of fatigue test were different in the two welding methods. That was chiefly connected to the stress distribution and concentration of welding joint. The analyses on stress distributions and concentration factors of the two joints in different external loadings were made in this paper. The results indicate that the stress concentration factor of llw joint on the flankwall is 73.4% lower than that of rsw and the value on the framework is 81.6%. The crack initiation site of fatigue test appears at the place with the highest stress concentration, which is agreed well with the theoretical analysis.

A Plastic Stress Analysis of Cylindrical Wafers Under Elastically Deformable Compression Plates

1967 ◽  
Vol 89 (3) ◽  
pp. 541-550
Author(s):  
R. L. Davis ◽  
J. W. Jackson
Keyword(s):  
High Pressure ◽  
Stress Distribution ◽  
Material Properties ◽  
Stress Distributions ◽  
Height Ratio ◽  
Normal Stress Distribution ◽  
Interface Friction ◽  
The Subject ◽  
Stress Patterns ◽  
Plate Deflection

This paper represents an analysis of the pressure distribution occurring in axially loaded cylindrical wafers with, and without, elastic radial constraints. The purpose of this report is to demonstrate the resulting stress patterns that occur in short compression specimens frequently used in determining material properties, and in the opposed-anvil, or Bridgman-type, high-pressure cells. The influence of radial constraints, material strain hardening, wafer diameter-to-height ratio, anvil or plate deflection, and the wafer-anvil interface friction on the resulting stress distributions have been examined. The integrated normal stress distribution across the specimen surface has been verified experimentally via numerous tests in which each of the subject parameters listed above was varied.

Stress Distribution in Rotating Discs with Non-Central Holes

1964 ◽  
Vol 15 (2) ◽  
pp. 107-121 ◽  
Author(s):  
W. A. Green ◽  
G. T. J. Hooper ◽  
R. Hetherington
Keyword(s):  
Stress Distribution ◽  
Numerical Solution ◽  
Plane Stress ◽  
Two Dimensional ◽  
Stress Distributions ◽  
Uniform Thickness ◽  
Dimensional Model ◽  
One Dimensional ◽  
Rotating Discs ◽  
Good Agreement

SummaryThe stress distribution in rotating circular discs containing a central hole and a symmetrical array of non-central holes is determined by numerical solution of the equations of generalised plane stress. Particular attention is given to an annulus containing the holes and of width approximately eight hole diameters, in which the full two-dimensional equations are solved. The region outside this annulus is treated as radially symmetric and the stresses there are determined from a simpler one-dimensional model. Stress distributions are reported for uniform discs of fixed geometry containing 10, 20 and 45 holes. Results are also obtained for 20-hole discs of non-uniform thickness comprising a uniformly tapered disc, a disc with a thickened annulus containing the holes, and a uniform disc with each hole surrounded by thickened bosses. As a check on the numerical method, calculations have been carried out on a disc of identical geometry to one examined photoelastically bv Leist and Weber with good agreement. The effect of changing Poisson's ratio for this particular disc is also examined.

A Three-Dimensional FE Approach for the Stress Analysis of Tensile Armors Inside End Fittings

2019 ◽  
Author(s):  
Marcelo N. R. Miyazaki ◽  
José Renato M. de Sousa ◽  
Gilberto B. Ellwanger
Keyword(s):  
Stress Distribution ◽  
Three Dimensional ◽  
Rigid Surface ◽  
Stress Concentrations ◽  
Flexible Pipes ◽  
Dimensional Finite Element ◽  
Operational Tests ◽  
Three Dimensional Finite Element ◽  
Good Agreement

Abstract In this work, a solid three-dimensional finite element (FE) approach is proposed to investigate the stress distribution along the tensile armors of flexible pipes inside their end fittings (EFs). This approach employs two different models. The first model consists of a single tensile armor, which is meshed with solid FEs, and a rigid surface that represents the EF. A toroidal template is also considered and the EF mounting process is simulated. In the second model, the deformed armor and the stress state from the first model are considered and the voids between the armor and the EF are filled with resin, which is also modeled with solid FEs. Geometric and material nonlinearities are addressed and the interaction between the different components are ensured with contact elements. A case study is conducted to observe the stress distribution along the tensile armor considering typical operational loads. The results obtained are compared to those calculated with a previously proposed analytical model showing good agreement, but also evidencing the need to adequately simulate the EF mounting process and the pre-operational tests. Moreover, intense stress concentrations at the entrance of the EF are observed thus indicating that this region can be critical in fatigue analyses.

The Stress Distribution in a Strip Loaded in Tension by Means of a Central Pin

1956 ◽  
Vol 23 (1) ◽  
pp. 85-90
Author(s):  
P. S. Theocaris
Keyword(s):  
Exact Solution ◽  
Stress Concentration ◽  
Stress Distribution ◽  
Approximation Method ◽  
Infinite Length ◽  
Stress Distributions ◽  
Axial Hole ◽  
Optimum Diameter ◽  
Concentration Factors ◽  
Stress Concentration Factors

Abstract It is the purpose of this paper to give an exact solution for the stress distribution resulting from loading a perforated strip in tension through a rigid pin filling the hole. The strip is regarded as of an infinite length and having a single axial hole. Stress distributions are found by an alternating approximation method and the stresses are tabulated in the form of stress-concentration factors for different values of diameter of the hole. The influence of size of the hole on the stress concentration in the strip is investigated and the optimum diameter of the hole is evaluated.

Stress Distribution Properties in Adhesively Bonded Beams

2014 ◽  
Vol 556-562 ◽  
pp. 720-724 ◽  
Author(s):  
Xiao Cong He ◽  
Yu Qi Wang ◽  
Hua Ying Cun ◽  
Sheng Wan Yuan
Keyword(s):  
Finite Element ◽  
Stress Distribution ◽  
Three Dimensional ◽  
Adhesive Layer ◽  
Small Region ◽  
Stress Distributions ◽  
Stress Concentrations ◽  
Dimensional Finite Element ◽  
Centre Region ◽  
Three Dimensional Finite Element

The stress distribution properties in a single lap-jointed cantilevered adhesive beam have been investigated using three dimensional finite element methods. Finite element solutions of the stress distributions in the adhesive layer have been obtained for three typical boundary conditions. It was found that the stress concentrations are confined to a very small region near the free ends of interfaces between the adherend and the adhesive layer while the centre region of the adhesive layer is mostly stress-free. This suggests that the first failure may be expected at the free ends of interfaces between the adherend and the adhesive layer. This also implies that the adhesive material near the free ends of the adhesive layer is mainly bearing the load being transferred through the adhesive joint. The analysis results show that by choosing suitable boundary condition, the bending effect can be reduced and the strength, fatigue life and reliability of the bond can be improved.

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