This might help - http://physics.uwstout.edu/StatStr/statics/teng125 said:besides,those boks recommended up there,are there any links to websites that teach how to calculate the shear stress and bending moments using the heaviside function as stated above ??
The Heaviside function, also known as the unit step function, is a mathematical function defined as:
H(x) = {0, x < 0; 1, x ≥ 0}
In other words, it is a function that is equal to 0 for all negative values of x and equal to 1 for all non-negative values of x.
The Heaviside function is commonly used in mathematical and engineering applications to represent discontinuities or changes in a system. It is particularly useful in modeling systems that switch between different states, such as in electrical circuits or control systems.
Yes, the Heaviside function is often used to represent a singularity in mathematical and physical systems. This is because its value changes abruptly from 0 to 1 at x = 0, making it a useful tool for modeling sudden changes or jumps in a system.
A singularity function, also known as a Dirac delta function, is a mathematical function that is defined as:
δ(x) = {0, x ≠ 0; ∞, x = 0}
It is often used to represent a point of infinite density or a point mass in physics and engineering problems. It is closely related to the Heaviside function, as the derivative of the Heaviside function is the Dirac delta function.
The Heaviside function and singularity functions have a wide range of applications in various fields, including electrical engineering, control systems, signal processing, and physics. Some examples include modeling switch circuits, representing impulse forces in mechanics, and solving differential equations in quantum mechanics.