Stress and Strength Analysis of Non-Right Angle H-section Beam

In this paper, according to the design requirements of a steel structural project, based on the principle of structural mechanics of thin-walled bar, the non-right angle H-section, which is subjected to bending moment and shear force, is taken as the object of study, the formulas of bending normal stress and shear stress are deduced. On this basis, the distribution of bending stress and shear stress and the location of dangerous stress are analyzed, the calculation method of section strength is discussed, and the FEA software ABAQUS is used to verify the above.

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Failure of Thin-Walled Pipes With D/T up to 140 and Conclusions for the Design Codes

Volume 3: Design and Analysis ◽

10.1115/pvp2016-63098 ◽

2016 ◽

Author(s):

Henry Schau ◽

Lilit Mkrtchyan ◽

Michael Johannes

Keyword(s):

Yield Stress ◽

Bending Moment ◽

Bending Stress ◽

Dynamic Analyses ◽

Asme Code ◽

Stress Intensification Factor ◽

Thin Walled ◽

The Moment ◽

Outside Diameter ◽

Good Agreement

The influence of imperfections on the instability bending moment of thin-walled straight pipes with D/t-ratios (D - outside diameter, t - wall thickness) up to 140 is determined using nonlinear Finite Element (FE) analyses. The analyses show that the type and size of the imperfection, the D/t ratio and the material properties have significant influences on the instability moment. The nominal bending stress of pipes (yield stress 500 MPa) with D/t > 70 and an ovality of 0.5% is smaller than the yield stress at the instability point. That means, the failure occurs by buckling in the elastic range of the nominal bending stress. In static analyses the moment decreases abruptly after reaching the instability moment. In the dynamic analyses the pipe jumps abruptly to the state with smaller moment. The obtained results are applied to calculate the B2 index for pipes with D/t ≤ 140. The B2 indices for thin-walled straight pipes with D/t > 40 are considerably higher than 1.0. In general, there is a good agreement between the calculated B2 values and the values of the ASME Code. A correction factor for higher temperatures is not necessary. The allowable moments calculated with the B2 index and the stress intensification factor i are compared. The bending moments from disabled thermal expansion and anchor movements have the same effect on the failure due to (plastic) buckling as the primary moments and must be taken into account.

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The Vibration Based on Non-Zero Point Force Moment Elasticity Theory

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.590.27 ◽

2014 ◽

Vol 590 ◽

pp. 27-31 ◽

Cited By ~ 1

Author(s):

Wen Ba Han ◽

Shuang Hua Huang ◽

Jie Liu ◽

Jin Kun Sun

Keyword(s):

Shear Stress ◽

Normal Stress ◽

Elasticity Theory ◽

Damage Mechanics ◽

Natural Frequencies ◽

Bending Moment ◽

Zero Point ◽

Pure Bending ◽

Force Moment ◽

The Moment

The traditional elastic theory believes that there exists normal stress in pure bending body (PBB) and shear stress in pure torsion body (PTB). However, the author proved that there is no normal stress but ‘Bent Point Moment’ (BPM) in PBB. And it also concluded that there is no shear stress but ‘Shear Point Moment’ (SPM) in PTB. This article overturns the preliminary theorems of the Elasticity Theory, which believes that the value of the moment (Bending moment & Torsion moment) on a unit area converges to zero. Just as the completely different natural frequencies of the forced vibration can lead to completely different resonant conditions. Besides, this theory has also been validated in the Damage Mechanics National Key Laboratory of Tsinghua University. Therefore, it is significant to avoid destruction produced by resonance.

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Shear force, bending moment, and bending stress

Mechanical Science for Technicians ◽

10.1016/b978-0-7131-3511-4.50005-4 ◽

1984 ◽

pp. 29-73

Author(s):

Ian McDonagh

Keyword(s):

Shear Force ◽

Bending Moment ◽

Bending Stress

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An Exact Theory for Curved Beams with Any Thin-Walled Open Sections

Advances in Structural Engineering ◽

10.1260/136943302320974572 ◽

2002 ◽

Vol 5 (4) ◽

pp. 195-209 ◽

Cited By ~ 3

Author(s):

Genshu Tong ◽

Qiang Xu

Keyword(s):

Shear Stress ◽

Normal Stress ◽

Theoretical Development ◽

Longitudinal Displacement ◽

Curved Beams ◽

Biaxial Bending ◽

Practical Applications ◽

Exact Theory ◽

Thin Walled ◽

Detailed Derivation

Currently available theories for thin-walled curved beams lack rigorous theoretical development. This paper provides a detailed derivation of an exact theory for biaxial bending and torsion of thin-walled circularly curved beams with any open profile. The derivation is based on two well-accepted assumptions in the theory of thin-walled members. Exact expressions for longitudinal displacement, longitudinal normal stress and shear stress and their resultants are presented. Simplified theories are also given for practical applications.

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Stress calculation method of bending multilayer structural element when bending moment acts in the planes that do not coincident with principal planes

Lietuvos matematikos rinkinys ◽

10.15388/lmr.2007.24243 ◽

2021 ◽

Vol 47 ◽

Author(s):

Vytautas Kleiza ◽

Jonas Kleiza

Keyword(s):

Normal Stress ◽

Cross Section ◽

Calculation Method ◽

Bending Moment ◽

Beam Cross Section ◽

Structural Element ◽

Stress Calculation ◽

Multilayer Beam ◽

Principal Axes ◽

Multilayer Beams

This paper presents stress calculationmethod of bending multilayer structural element when bending moment acts in the planes that do not coincident with principal planes, and cross section is symmetric or asymmetric. Carrying the computation of occurring stress values in multilayer beam layers it is necessary to identify coordinates of cross-section stiffness centre, direction of principal axes, and coordinates of specific points regarding principal axes. Having this information and equation which is valid for stress calculation of bending multilayer beams it is possible to identify normal stress values at any point of the beam cross section under skew bending. It is deduced that stress values and the nature of their changes are influenced by the shape of beam cross-section, its asymmetry degree, and the direction of appliedmoment.

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Load calculation and strength analysis of floating garbage cleaning equipment

E3S Web of Conferences ◽

10.1051/e3sconf/202126103024 ◽

2021 ◽

Vol 261 ◽

pp. 03024

Author(s):

Weiyao Xu ◽

Jianting Guo ◽

Chunyan Ji

Keyword(s):

High Stress ◽

Bending Moment ◽

Strength Analysis ◽

Floating Structure ◽

Cleaning Equipment ◽

Load Calculation ◽

Calculation Results ◽

Torque Load ◽

Design Requirements ◽

Vertical Bending Moment

In order to alleviate the problem that there is increasingly floating garbage pollution on the sea, this paper proposes a new design of floating garbage cleaning equipment. This equipment is a slender structure, and whether its structural strength can meet the design requirements requires special attention. In order to ensure the rationality and safety of the design, load calculation and strength analysis are carried out based on the design wave method. The calculation results show that the longitudinal torque load of this equipment is the largest, which is 2.5 times of the second largest vertical bending moment. At the same time, there are three large stress areas in the floating structure, which are the connection between the pontoon and the connecting buntons, the connecting buntons intersecting with the Y axis and the pontoons on both sides. For the abovementioned high-stress areas, a structural strengthening plan is proposed. After the improvement, the stress in the high-stress areas of the structure is significantly reduced, with a maximum reduction of 52%. The strength of the improved structure meets the design requirements. The research results of this paper can provide relevant references for the development of floating garbage cleaning equipment in the future.

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