Application
of High School Mathematics in the Design of Architectural Structures
What:
Radford University/Virginia Tech-STEM Workshop is a one-week, fully online course offered annually to 20
teachers.
The
course focuses on engineering concepts directly related to Algebra I, Algebra
II, Trigonometry, and Geometry.
When: Summer 2018 dates are June 18th - June 22nd from 5p.m. to 8p.m., live online.
Payment to You:
You will be paid $135 stipend to complete this course.
Course Summary:
Any object has a structure that helps it withstand various environmental conditions. Generally, large man-made structures
such as airplanes, ships, buildings, and bridges, are designed by a structural engineer. A structural engineer needs to
consider various environmental conditions such as of loads, temperatures, etc., that a structure may be subjected during
its lifetime.
Architectural
structures are the systems used in buildings and bridges, which will be the
focus of this short course, even
though the presented concepts can also be applied to other types of structures.
Millennium Footbridge, London Freedom Tower, New York
The
main focus of this course will then be placed on the
following two topics:
(1) Solution of equilibrium equations, consisting of three simultaneous linear equations, to compute support reactions of determinate
beams under various loading conditions; and
(2) Variation of internal forces in determinate beams and drawing the shear force and bending moment diagrams using the first and second
order equations. A graphical approach, using slope of lines, will also be introduced. It will be shown that by following a few simple
rules, the shear force and bending moment diagrams can be easily re-generated.
Distributed Loads Acting on a Floor Slab
Course Outline:
1. What
are architectural structures?
2. Role
of structural engineers in the design of buildings and bridges
3. Main
structural elements in buildings and bridges
4. Different
classification of loads
5. Force
and Moment
6. Different
support types
7. External
and internal forces
8. Static
equilibrium and equilibrium equations
9. Determinate
and indeterminate beams
10. Calculation
of support reactions using equilibrium equations
11. Variation
of internal forces in beams
12. Drawing
shear force and bending moment diagrams for determinate beams