Next Article in Journal
Affordable Broadband with Software Defined IPv6 Network for Developing Rural Communities
Previous Article in Journal
Structural Anatomy of Tunnel Void Defect in Bobbin Friction Stir Welding, Elucidated by the Analogue Modelling
Open AccessArticle

Investigation of a Cross-Section with a Constant Transverse Shear Stress Distribution Using a Numerical Approach

Department of Mechanical Engineering, Wilkes University, Wilkes-Barre, PA 18701, USA
*
Author to whom correspondence should be addressed.
Appl. Syst. Innov. 2020, 3(1), 3; https://doi.org/10.3390/asi3010003
Received: 28 November 2019 / Revised: 21 December 2019 / Accepted: 23 December 2019 / Published: 24 December 2019
A structural beam which is subjected to shear forces acting perpendicularly to its longitudinal axis will experience longitudinal and transverse shear stresses. In beams where failure in the transverse direction is plausible, it is desirable to maintain a constant transverse shear stress over the beam cross-section to avoid stress concentrations and to use the least amount of material. A numerical approach to the inverse problem of solving for a beam cross-section with a constant transverse shear stress distribution was investigated in this study using Microsoft Excel’s Solver and Matlab. The efficiency and shape of the developed cross-section were dependent on the number of elements used to discretize the cross-section. As the number of elements approached infinity, the shape of the cross-section became infinitely thin at the top and infinitely wide at the neutral axis, while also approaching an efficiency of 100%. It is therefore determined that this is an ill-posed inverse problem and no such perfect cross-section exists. View Full-Text
Keywords: transverse shear stress; constant stress distribution; structural beam cross-section; inverse problem; ill-posed problem; divergent solution transverse shear stress; constant stress distribution; structural beam cross-section; inverse problem; ill-posed problem; divergent solution
Show Figures

Figure 1

MDPI and ACS Style

Bednarz, E.T., III; Mulligan, R.R. Investigation of a Cross-Section with a Constant Transverse Shear Stress Distribution Using a Numerical Approach. Appl. Syst. Innov. 2020, 3, 3. https://doi.org/10.3390/asi3010003

AMA Style

Bednarz ET III, Mulligan RR. Investigation of a Cross-Section with a Constant Transverse Shear Stress Distribution Using a Numerical Approach. Applied System Innovation. 2020; 3(1):3. https://doi.org/10.3390/asi3010003

Chicago/Turabian Style

Bednarz, Edward T., III; Mulligan, Ryan R. 2020. "Investigation of a Cross-Section with a Constant Transverse Shear Stress Distribution Using a Numerical Approach" Appl. Syst. Innov. 3, no. 1: 3. https://doi.org/10.3390/asi3010003

Find Other Styles
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop