A Geometric Framework for Evaluating Compound Slopes Within the Wheelchair Footprint on a Curved Ramp
| dc.contributor.author | Cooley, Joseph J. | en |
| dc.contributor.committeechair | Jones, James R. | en |
| dc.contributor.committeemember | Queen, Robin Marie | en |
| dc.contributor.committeemember | Shew, Ashley | en |
| dc.contributor.department | Architecture | en |
| dc.date.accessioned | 2026-06-03T08:00:44Z | en |
| dc.date.available | 2026-06-03T08:00:44Z | en |
| dc.date.issued | 2026-06-02 | en |
| dc.description.abstract | Existing accessibility guidelines such as the Americans with Disabilities Act (ADA) and ICC117.1 (ICC) are based on the slope of the running surface of a ramp and the cross-slope. This is usually measured along the side of the ramp. This is suitable for straight ramps but when used on curved ramps three-dimensional geometry must be considered. This is something that the current accessibility evaluation approaches do not sufficiently address. The ADA does not provide much help regarding these issues, even though the ADA does advise against the use of curved ramps, because there is the possibility of compound slopes and unreliable wheel performance at the wheel contact points. This thesis investigates the effect of the geometry of a curved ramp on the user's immediate slope of the ramp as experienced by the wheelchair user. Instead of considering the nominal running or cross slope, the proposed condition instead would be a diagonal compound slope between wheel contact points. This was done using a mixed method approach for the purpose of exploration. These methods included analysis of existing standards, geometrical analysis, construction of physical ramps models, in-situ observations of ramps, consulting disability experts and creating a basic spreadsheet tool to evaluate the ramps. The geometrical analysis served as the principal analysis method; physical and field models gave insights about the impact of different ramp designs on wheelchair movement. By analyzing the results of the research it is clear that the slope value, radius of the curve, ramp width and direction of the wheelchair are the significant factors that affect the amount of compound slope a ramp user might experience when using a curved ramp. Specifically, the study showed that enlarging the ramp would substantially reduce the degree of local diagonal slope of the wheelchair. This study also shows that the interaction between asymmetric wheels and a ramp can be observed even if ramp slopes would fulfil the established requirements. The work does not indicate that curvilinear ramps are inaccessible in themselves. Rather, the work suggests a geometric approach to assessing curved ramps as three-dimensional surfaces in a limited space. It outlines the start of a predictive approach that could be used for future design assessment, accessibility studies, and other related efforts in accessible design. | en |
| dc.description.abstractgeneral | Typically, ramps used to traverse changes in level in a building or landscape and often used by people with disabilities are evaluated and regulated based on thier slope (how steep a ramp is in the direction of travel) and cross slope (how much they slope from side to side). These measurements work well for straight ramps, but curved ramps, which landscape designers like to use for a variety of reasons, are more complicated. A sloped surface provided in conjunction with a curved path of travel can create uneven conditions under a wheelchair that are not adequately described in current standard accessibility standards. This thesis studies how a curving ramp affects the way a wheelchair sits and moves its surface. This study examines the ramp's overall slope experienced across the footprint of the wheelchair, especially between opposite wheel contact points which is not regularly studied when considering ramps that travel in one direction. This diagonal condition will help explain why some curved ramps my not be truly accessible even though they appear to meet basic accessibility requirements. In this thesis, I used several research methods. These methods included a review of accessibility standards, geometric analysis, scaled ramp models, evaluation of existing ramps, consultation with disability experts, and a basic spreadsheet tool for evaluating ramp geometry. The findings indicate that ramp slope, curve radius, ramp width, and wheelchair orientation all affect the conditions experienced by a wheelchair user. This work does not argue that curved ramps are inherently inaccessible. The work argues that they need to be evaluated more carefully as three-dimensional surfaces. The work offers the beginning of a practical method that could help designers, accessibility reviewers, and researchers better understand curved ramps before they are built. | en |
| dc.description.degree | Master of Science | en |
| dc.format.medium | ETD | en |
| dc.identifier.other | vt_gsexam:47341 | en |
| dc.identifier.uri | https://hdl.handle.net/10919/143234 | en |
| dc.language.iso | en | en |
| dc.publisher | Virginia Tech | en |
| dc.rights | Creative Commons Attribution 4.0 International | en |
| dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | en |
| dc.subject | Accessibility | en |
| dc.subject | Curved ramps | en |
| dc.subject | Compound slope | en |
| dc.subject | Wheelchair footprint | en |
| dc.subject | Universal design | en |
| dc.subject | Ramp geometry | en |
| dc.subject | ADA compliance | en |
| dc.subject | Cross slope | en |
| dc.subject | Inclusive design | en |
| dc.subject | Biomechanics | en |
| dc.title | A Geometric Framework for Evaluating Compound Slopes Within the Wheelchair Footprint on a Curved Ramp | en |
| dc.type | Thesis | en |
| thesis.degree.discipline | Architecture | en |
| thesis.degree.grantor | Virginia Polytechnic Institute and State University | en |
| thesis.degree.level | masters | en |
| thesis.degree.name | Master of Science | en |
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