Photo: Will Charpentier |
Engineering and math are inexorably linked. |
Basic Arithmetic
All math is based on the idea that 1 plus 1 equals 2, and 1 minus 1 equals 0. Multiplication and division --2 times 2 and 4 divided by 2 -- are variations used to avoid multiple iterations of either subtraction or addition. One example of an engineer's use of basic arithmetic is the civil engineer's calculations for describing water flow across an open basin. The flow is reckoned in cubic feet per second, or Q, where Q equals the runoff coefficient times the intensity of the rain for a specified period, times the area of the basin. If the runoff coefficient is 2, the intensity, in inches of rain, is 4 and the basin -- a specified area of land -- is 1/2 acre, the engineer's formula resembles this: (2x4)/(.5x43,560), or 8/21,780. The result, 0.0003673, is the volume of water, in cubic feet per second, flowing across the land.
All math is based on the idea that 1 plus 1 equals 2, and 1 minus 1 equals 0. Multiplication and division --2 times 2 and 4 divided by 2 -- are variations used to avoid multiple iterations of either subtraction or addition. One example of an engineer's use of basic arithmetic is the civil engineer's calculations for describing water flow across an open basin. The flow is reckoned in cubic feet per second, or Q, where Q equals the runoff coefficient times the intensity of the rain for a specified period, times the area of the basin. If the runoff coefficient is 2, the intensity, in inches of rain, is 4 and the basin -- a specified area of land -- is 1/2 acre, the engineer's formula resembles this: (2x4)/(.5x43,560), or 8/21,780. The result, 0.0003673, is the volume of water, in cubic feet per second, flowing across the land.
Algebra and Geometry
When several of the factors of a problem are known and one or more are unknown, engineers use algebra, including differential equations in cases when there are several unknowns. Because engineers work to arrive at a solution to a physical problem, geometry -- with its planes, circles and angles -- determines such diverse things as the torque used to turn a wheel, and reduces the design of a roadway's curve to an accurate engineering or construction drawing.
Related Reading: What Soft Skills Are Required for an Agricultural Engineer?
Trigonometry
Trigonometry is the science of measuring triangles. Engineers may use plane trigonometry to determine the size of an irregularly shaped parcel of land. It may also be used or to determine the height of an object based solely on the distance to the object and the angle, up or down, from the observer. Spherical trigonometry is used by naval engineers in ship design and by mechanical engineers working on such arcane projects as the design of mechanical hand for an underwater robot.
Statistics
We all love statistics. They tell us where we stand in the world, among our peers and even in our family. They tell us who's winning. The engineer uses them for the same reasons -- by statistical analysis of the design, the engineer can tell what percentage of a design will need armor or reinforcement or where any likely failures will occur. For the civil engineer, statistics appear as the concentration of rainfall, wind loads and bridge design. In many locations, engineers designing drainage systems must design for a 50- or 100-year storm in their calculations, a significant change from the normal rain concentration.
Calculus
Additional resources
What Maths Do You Need to Be an Engineer?
Source: Chron