Deformation of Curved Bars With Creep

1985 ◽  
Vol 107 (1) ◽  
pp. 225-230 ◽  
Author(s):  
J. H. Lau ◽  
C. K. Hu
Keyword(s):  
Axial Force ◽  
Maximum Stress ◽  
Bending Moment ◽  
Neutral Axis ◽  
Constitutive Relationship ◽  
Engineering Practice ◽  
Stress And Strain ◽  
Interaction Curves ◽  
Stress And Strain Rate ◽  
Relationship Of

An exact analysis is presented for the creep deformation of a curved bar subjected to the simultaneous actions of bending moment and axial force. Dimensionless interaction curves and charts, which relate the variables, axial force, location of neutral axis, maximum stress and strain rate, bending moment, and change in curvature rate, are also provided for engineering practice convenience. The constitutive relationship of the curved bar is described by the Prandtl-Nadai Creep Law.

Creep of Thin-Walled Circular Cylinder Under Axial Force, Bending, and Twisting Moments

1984 ◽  
Vol 106 (1) ◽  
pp. 79-83 ◽  
Author(s):  
J. H. Lau ◽  
S. S. Jung ◽  
T. T. Lau
Keyword(s):  
Circular Cylinder ◽  
Strain Rate ◽  
Axial Force ◽  
Effective Strain ◽  
Bending Moment ◽  
Constitutive Relationship ◽  
Engineering Practice ◽  
Shear Strain Rate ◽  
Thin Walled ◽  
Interaction Curves

An exact analysis is presented for the creep deformation of a thin-walled circular cylinder subjected to the simultaneous actions of axial force, bending, and twisting moments. Dimensionless interaction curves and charts which relate the variables, axial force, location of neutral-axis, bending moment, maximum effective strain rate, twisting moment, and shear strain rate are also provided for engineering practice convenience. The constitutive relationship of the cylinder is described by Prandtl-Nadai creep law.

Bending and Twisting of Pipes With Strain Hardening

1984 ◽  
Vol 106 (2) ◽  
pp. 188-195 ◽  
Author(s):  
J. H. Lau ◽  
T. T. Lau
Keyword(s):  
Effective Strain ◽  
Closed Form Solution ◽  
Bending Moment ◽  
Small Deformation ◽  
Form Solution ◽  
Simultaneous Action ◽  
Deformation Analysis ◽  
Engineering Practice ◽  
Strain Diagram ◽  
Interaction Curves

A closed-form solution is presented for the small deformation analysis of a straight thin-walled circular cylinder subjected to the simultaneous action of bending and twisting moments. Dimensionless interaction curves and charts which relate the variables, bending moment, curvature, maximum effective strain, twisting moment, and shear strain are also provided for engineering practice convenience. The average stress-strain diagram of the cylinder is described by two straight lines. The result presented herein is not only a good approximation of a wide class of piping materials, but also provides a standard tool for estimating the accuracy of different direct schemes such as numerical integration, finite-difference, and finite-element methods.

Bending and Twisting of 60Sn40Pb Solder Interconnects With Creep

1994 ◽  
Vol 116 (2) ◽  
pp. 154-157
Author(s):  
John H. Lau
Keyword(s):  
Creep Deformation ◽  
Material Properties ◽  
Bending Moment ◽  
Engineering Practice ◽  
Solder Material ◽  
Solder Interconnects ◽  
Exact Analysis ◽  
Twist Rate ◽  
Thin Walled ◽  
Interaction Curves

An exact analysis is presented for the creep deformation of a thin-walled circular solder cylinder under the actions of bending and twisting moments. Dimensionless interaction curves and charts which relate the variables, interconnect geometry, solder material properties, bending moment, twisting moment, curvature rate, and twist rate are also provided for engineering practice convenience.

Bond-Slip Constitutive Relationships of the CFRP/Concrete Interface

2014 ◽  
Vol 900 ◽  
pp. 426-429
Author(s):  
Xiao Yong Wu ◽  
Hui Wang
Keyword(s):  
Constitutive Relation ◽  
Bending Moment ◽  
High Strength ◽  
Bonding Interface ◽  
Fiber Reinforced Polymer ◽  
Constitutive Relationship ◽  
Bond Slip ◽  
Reinforced Polymer ◽  
Relationship Of ◽  
Concrete Interface

In consideration of the light weight, high strength, corrosion resistance and construction is convenient of carbon fiber reinforced polymer (CFRP), using CFRP to strengthen structure is becoming more and more widely. However, there is no commonly accepted understanding of the constitutive relationship of the bonding shear stress and slip between concrete and CFRP bonded interface, especially the decline of the constitutive relation is more difficult to measure accurately. An aim of this paper is to improve the experiment to explore bond stress and slip (τδ) constitutive relation of the bonding interface, strive for the experiment to measure the τδ constitutive relation curve of CFRP-concrete interface. Double pull test was proposed with the improved specimen, using the horizontal load, eliminate additional bending moment influence and improve the experimental accuracy. 17 specimens were tested to measure the τδ curves, according to the features of the constitutive relation curves, the mechanical characteristics of the bonding interface was further analysised.

The Limit Load Interactions of the Brazed Aluminum Plate-Fin Heat Exchanger Header Under Combined Piping Loads

2011 ◽  
Vol 133 (3) ◽  
Author(s):  
Wei Wang ◽  
Liang Chen ◽  
Caidong Guo
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Heat Exchanger ◽  
Axial Force ◽  
Shear Force ◽  
Bending Moment ◽  
Limit Load ◽  
Force Component ◽  
Element Analysis ◽  
Interaction Curves

In order to investigate the strength design problem of the brazed aluminum plate-fin heat exchanger header under complex external piping loads, the limit load interactions of the header under combined piping loads are studied in this paper. To establish the limit piping load interaction curves, nonlinear finite element analysis assuming the elastic perfectly plastic material model is performed by using the commercial finite element analysis software ANSYS and multiple piping load combinations, which are the combination of orthogonal bending moment components, torque component-shear force component, bending moment component-axial force component, compound bending moment-axial force component, and torque component-compound shear force, of the header with six opening ratios ranging from 0.5 to 1 are explored. The results of the interaction diagrams show that the feasible combined piping load zone of the header derived from the interaction curves can be simplified as a triangular zone determined by the individual limit piping load components safely and the simplified feasible zone is suggested to be used for establishing a simplified safety assessment method for the header under combined piping loads.

scholarly journals Composite GFRP bars as reinforcement of concrete members under axial force and bending moment

2014 ◽  
Vol 13 (3) ◽  
pp. 167-174
Author(s):  
Piotr Szymczak ◽  
Paweł Olbryk ◽  
Maria Kamińska
Keyword(s):  
Axial Force ◽  
Experimental Studies ◽  
Bending Moment ◽  
Gfrp Bars ◽  
Concrete Members ◽  
Failure State ◽  
Glass Fibre Reinforced Polymer ◽  
Glass Fibre Reinforced ◽  
Interaction Curves ◽  
Longitudinal Strains

This paper discusses concrete members reinforced internally with composite GFRP bars (Glass Fibre Reinforced Polymer). The studies are focused on members under axial force and bending moment. Experimental studies of 4 RC columns loaded with compressive axial force, longitudinally and transversally reinforced with GFRP bars were discussed. Columns had cylinder shape with the nominal diameter of 200mm and height of 600mm. Longitudinal reinforcement contained six bars with 11mm diameter and transversal reinforcement of continuous spiral bars # 4 and #8 with spacing equal to 45mm and 60mm. Studies show that the GFRP reinforcement has very good adhesion to concrete and,in failure state reaches stresses adequate to longitudinal strains of members. This paper proves that the interaction curves can be determined on the same strain state basis as used in RC members according to EC2.

scholarly journals Thermoelastic Closed-Form Solutions of FGM Plates Subjected to Temperature Change in Axial and Thickness Directions

2020 ◽  
Author(s):  
Yen-Ling Chung
Keyword(s):  
Closed Form ◽  
Temperature Change ◽  
Axial Force ◽  
Maximum Stress ◽  
Closed Form Solution ◽  
Bending Moment ◽  
Bottom Surface ◽  
Thermal Loads ◽  
Element Analysis ◽  
Closed Form Solutions

Abstract An analytical solution of simply supported FGM plates under thermal loads is developed based on medium-thick plate assumption. Further to assume constant Poisson’s ratio and thermal expansion coefficient, the closed-form solutions of the FGM plates with through-the-thickness Young’s modulus under temperature change in x - and z -directions are evaluated, expressed in terms of the thermal axial force and thermal bending moment. The closed-form solutions confirmed by finite element analysis give a complete insight into the thermal-mechanical behavior of FGM plates. Hence, the deflection, strain, stress, axial force, and bending moment of the FGM plate under thermal loads in axial and thickness directions are discussed. Results show that the use of FGM makes the maximum stress from the top or bottom surface move to the inner portion of the FGM plate, and significantly reduces the maximum stress of the plates. Moreover, although the FGM plate is subjected to thermal load in the thickness direction, the deflection of the FGM plate can be zero by properly choosing the steep material gradation, directly derived from the obtained closed-form solution.

Experimental study of moment carrying behavior of typical Tibetan timber beam-column joints

2021 ◽  
pp. 136943322110015
Author(s):  
Ting Guo ◽  
Na Yang ◽  
Huichun Yan ◽  
Fan Bai
Keyword(s):  
Bending Moment ◽  
Structural Performance ◽  
Test Results ◽  
Timber Beam ◽  
Rotational Stiffness ◽  
Trilinear Model ◽  
Column Joint ◽  
Loading Tests ◽  
The Moment ◽  
Relationship Of

This study aimed to investigate the moment carrying behavior of typical Tibetan timber beam-column joints under monotonic vertical static load and also evaluate the influence of length ratio of Gongmu to beam (LRGB) and dowels layout on the structural performance of the joint. Six full-scale specimens were fabricated with same construction but different Gongmu length and dowels position. The moment carrying performance of beam-column joints in terms of failure mode, moment resistance, and rotational stiffness of joints were obtained via monotonic loading tests. Test results indicated that all joints are characterized by compressive failure perpendicular to grain of Ludou. Additionally, it was found that greater LRGB leads to greater initial rotational stiffness and maximum moment of the joint by an increase of restraint length for beam end; however, offsetting dowels toward column resulted smaller stiffness and ultimate bending moment of joints, particularly, offsetting Beam-Gongmu dowels toward column changed the moment-rotation curve pattern of the beam-column joint, accompanied by a hardening stiffness at last phase. Furthermore, a simplified trilinear model was proposed to represent the moment-rotation relationship of the typical Tibetan timber beam-column joint.

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