scholarly journals Validation of Bredt’s formulas for beams with hollow cross sections by the method of asymptotic splitting for pure torsion and their extension to shear force bending

2019 ◽  
Vol 230 (11) ◽  
pp. 4035-4047 ◽  
Author(s):  
C. Schmidrathner
Keyword(s):  
Cross Sections ◽  
Shear Force ◽  
Pure Torsion ◽  
Asymptotic Splitting

Pure torsion of prismatic beams with multiply connected cross sections

1971 ◽  
Vol 7 (7) ◽  
pp. 764-768 ◽  
Author(s):  
I. V. Goncharyuk ◽  
V. L. Rvachev
Keyword(s):  
Cross Sections ◽  
Pure Torsion ◽  
Multiply Connected

Comparative Study of Seismic Response of Solid Pile with Hollow Pile

2011 ◽  
Vol 94-96 ◽  
pp. 1889-1893
Author(s):  
Yong Mou Zhang ◽  
Qiang Gang Yan
Keyword(s):  
Comparative Study ◽  
Seismic Response ◽  
Seismic Performance ◽  
Cross Sections ◽  
Theoretical Basis ◽  
Shear Force ◽  
Bending Moment ◽  
Soil Resistance ◽  
Calculation Results ◽  
Practical Engineering

The seismic responses of solid pile and hollow pile were analyzed and compared in this paper. According to the deflection equation of pile during earthquake, rotation, bending moment, shear force and soil resistance of pile were obtained. The differences of deflection, rotation, bending moment, shear force and soil resistance between hollow pile and solid pile, whose effective areas of cross-sections were same, were found. From calculation results, hollow pile had certain advantages in seismic performance. This study provided a theoretical basis for the applications of hollow piles in practical engineering.

Pure Torsion of Thin-Walled Cross Sections

2020 ◽  
pp. 2094-2101
Author(s):  
Michael Krommer ◽  
Yury Vetyukov
Keyword(s):  
Cross Sections ◽  
Pure Torsion ◽  
Thin Walled

scholarly journals On direct determination of shear force taken up by concrete in oblique cross-sections of reinforced concrete structures

2021 ◽  
Vol 34 (02) ◽  
pp. 1039-1048
Author(s):  
Aleksei N. Morozov
Keyword(s):  
Reinforced Concrete ◽  
Cross Sections ◽  
Shear Force ◽  
Concrete Structures ◽  
Direct Determination ◽  
Computation Method ◽  
Reinforced Concrete Structures ◽  
Normal Section ◽  
Stress Block

A method has been presented for the direct determination of shear force in oblique cross-sections of reinforced concrete structures using a classic formula Q=bzτ, when the main problems of determining the shear force in oblique cross-sections are related to finding cleaving stresses in concrete and the shape of a stress-block of normal stresses in the design section, with no principles of practical division between the forms of failure in oblique sections due to concrete compression or shear. This work incorporates a criterion for dividing the forms of failure due to concrete compression or shear, based on the assumed shape of a compression stress-block with a segment cut away in a normal section, passing through the top of an inclined crack. The height of the compressed area in this normal section is defined from simultaneous solution of the equations of equilibrium in the moments in normal and oblique sections, from testing the experimental beams made of concrete and gas-concrete. This work deals with seeking the approaches for solving the above-mentioned problems in practice. The data of testing beams from gas-concrete and heavy-weight concrete have been used. Strain gauges were used to measure concrete and reinforcement deformities, computer processed thereafter. The studies have been considered on determination of cleaving stresses in oblique sections, further verified according to this method on certain alternative schemes of their application. A practical method for finding the shear force depending on the value of a shear span has been proposed. The work can encourage active discussion of this computation method.

Gold to Gold Thermosonic Flip Chip Bonding on Ceramic Substrate

2002 ◽  
Author(s):  
J. Wei ◽  
Z. P. Wang ◽  
Y. M. Tan
Keyword(s):  
Cross Sections ◽  
Shear Force ◽  
Flip Chip ◽  
Shear Failure ◽  
High Reliability ◽  
Ceramic Substrate ◽  
Ultrasonic Power ◽  
Test Results ◽  
Bonding Force ◽  
Bonding Parameters

In this study, a thermosonic flip chip process has been developed to assemble gold bumped die to an Al2O3 ceramic substrate. The effects of bonding conditions, such as ultrasonic power, temperature, bonding force and bonding time, on the reliability of the interconnections were investigated. It was found that ultrasonic power and bonding force were the major factors influencing the reliability. High ultrasonic power and bonding force resulted in high reliability. The thermal cycling test results (from −55 °C to 125 °C) showed that the assemblies passed 1250 cycles with no change in resistance. The pressure cooker test results (15 psig pressure and 100% RH at temperature of 121 °C) showed that the assemblies passed 168 hours with no change in resistance. The shear force test results showed that the shear force at failure ranged from 10 to 40 grams per bump depending on bonding parameters. The interconnect cross-sections and the fracture surfaces on selected dies and substrates were observed with scanning electron microscope (SEM). It was found that the shear failure usually occurred between a gold pad and ceramic substrate, indicating a strong bonding interface between the gold bump and pad on the substrate. The performance of the assemblies fell into the reliable region as long as the bonding force, temperature, and ultrasonic power were high enough. The failure mechanisms consisted of separation between Au bump and Au pad, separation between Au pad and substrate and cracking inside Au pad or trace. The ultrasonic power drove relative movement between Au bumps and Au pads, causing friction and heat in the interface to result in micro-welding.

Primary Instability of a Panel of Integral Construction with Unflanged Stiffeners

1954 ◽  
Vol 58 (528) ◽  
pp. 808-812 ◽  
Author(s):  
Syed Yusuff
Keyword(s):  
Cross Sections ◽  
Complete Agreement ◽  
Test Results ◽  
Pure Torsion ◽  
Wide Range ◽  
The Cross ◽  
Primary Instability

SummaryA theory of primary failure of compression panels of integral construction with unflanged stiffeners is presented, involving rotation, or translation, or rotation and translation of the stiffeners with the corresponding distortion of the sheet without deformation of the cross sections in their own planes. The investigation shows that the failure may occur generally either by pure torsion of the stiffener with the associated lateral distortion of the sheet or by pure flexure in accordance with whichever mode yields a smaller stress. The theory is compared with the test results covering a fairly wide range of the dimensions involved. The theory is in complete agreement with the experiments. The accuracy of the result thus obtained indicates that the fillets at the junction of the skin and the stiffener are not important and their effects may safely be disregarded.

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