Methods For Constructing Influence Lines
There are three methods used for constructing the influence line. The first is to tabulate the influence values for multiple points along the structure, then use those points to create the influence line. The second is to determine the influence-line equations that apply to the structure, thereby solving for all points along the influence line in terms of x, where x is the number of feet from the start of the structure to the point where the unit load is applied. The third method is called the Müller-Breslau's principle. It creates a qualitative influence line. This influence line will still provide the designer with an accurate idea of where the unit load will produce the largest response of a function at the point being studied, but it cannot be used directly to calculate what the magnitude that response will be, whereas the influence lines produced by the first two methods can.
Read more about this topic: Influence Line
Famous quotes containing the words methods, constructing, influence and/or lines:
“Generalization, especially risky generalization, is one of the chief methods by which knowledge proceeds... Safe generalizations are usually rather boring. Delete that “usually rather.” Safe generalizations are quite boring.”
—Joseph Epstein (b. 1937)
“The very hope of experimental philosophy, its expectation of constructing the sciences into a true philosophy of nature, is based on induction, or, if you please, the a priori presumption, that physical causation is universal; that the constitution of nature is written in its actual manifestations, and needs only to be deciphered by experimental and inductive research; that it is not a latent invisible writing, to be brought out by the magic of mental anticipation or metaphysical mediation.”
—Chauncey Wright (1830–1875)
“Exhaust them, wrestle with them, let them not go until their blessing be won, and, after a short season, the dismay will be overpast, the excess of influence withdrawn, and they will be no longer an alarming meteor, but one more brighter star shining serenely in your heaven, and blending its light with all your day.”
—Ralph Waldo Emerson (1803–1882)
“Called as partners in Christ’s service,
Called to ministries of grace,
We respond with deep commitment
Fresh new lines of faith to trace.
May we learn the art of sharing,
Side by side and friend with friend,
Equal partners in our caring
To fulfill God’s chosen end.”
—Jane Parker Huber (b. 1926)