Many many civil engineering principles are derived using differential equations.
Beam theory relies on differential equations.
A topic large enough to do a project on could be structural analysis using computer programs.
Many things involving rates of change are described with differential equations.
Calculus is the mathematical study change. It helps provide a method for modeling real-life systems in order to predict behavior. And Differential equations pop up everywhere in all fields of engineering. To solve differential equations you need to know calculus. Differential equation is one of the most challenging math courses that you will take when pursuing a civil engineering degree. Many students struggle to do well in the course since the topics are often abstract and difficult to understand. Differential equations describe the relationship between the rates of change in one variable compared to another. Civil engineers can use differential equations to model a skyscraper's vibration in response to an earthquake to ensure a building meets required safety performance. A differential equation is used to show the relationship between a function and the derivatives of this function. When studying engineering, these can be very useful in helping to find out things about hydraulic flow, vibration isolation, and heat transfer.
Electrical transmission lines follows what is called a caternary curve. It is represented by formula(s) derived using differential equations. The tension at the support can be calculated using the formulas. With the tension and other forces known at the support, the structural supports (towers) can be designed.
http://en.wikipedia.org/wiki/Catenary
You may want to look at use of differential equations to describe the response of structural systems to cyclic, vibratory, or seismic loading.
i have to do a project about the applications of differential equations in civil engineering and i can't find anything.. can anyone please help with links or information? thank you
