Category: Blog PETutors

Truss Bridge Types; Deck, Through, Pony, Pedestrian and Vehicular Trusses Truss Structures have existed since the first building roof trusses in the 6th century. These were constructed from timber materials. First timber truss bridges were constructed by Pallado in the sixteenth century. In the eighteenth century, the truss span lengths extended by making hybrid arch-truss configurations.  Besides that, in the nineteenth century, span length increases in Europe and the US by inventors required for the railroads that were sweeping across open spaces particularly starting, in the mid-eighteenth. Most importantly, in 1847, Squire Whipple patented the first combination arch-truss bridge. Squire Whipple has been called the “Father of American Bridge Building” and the Father of Iron Bridges”. Most Noteworthy, truss bridges are of three types today; Deck, Through and Pony.  A great book…

n Calculus, an Example Trigonometric Substitutions; Tutoring Math such as calculus, the need for examples to convey the procedure is essential for students understanding of the process. Such as Trigonometric substitution; this procedure is for simplifying complex integrations that make them easier to evaluate. See the following blog about the process for Trigonometric Substitution. The example provided seems simple integration but at a closer look, the function doesn’t fit into a standard format. Let’s look at the following problem:  or  =  and  = ;  =  we can check this result by Trionometric Substituting of  into the express for the hypotenuse  =  =  from the indemnity above  Therefore;  =  =  we can use the double angle  formula for simplify the expression before we integrate and applying the identity for double angle for  = ; Therefore;  =  Also, remember that with definite integrals the limits of integration =need to…