Anthony, which textbook are you referring to? Any deflection formula?
Classical solution of beam on Elastic Foundation in the "Foundation Analysis and Design" by Joseph E. Bowels listed formulas for deflection, slope, moment and shear along with coefficients table. Hope following steps can be...
Imagine a multilevel underground structure with no super structure above ground level. The result of a buoyant effect is no way to resolve with underground building weight. Soils engineer come up with a solution to replace the site soil with non-permeable soil which he predicted 50 to 100 years...
Remember that no loading, no settlement; but even with a perfect uniform loading or some variation of uniformity, soils engineer warn us to expect 1/2" differential settlement over 40' span. There are upper limit of deflection and maximum building loads and our job is to find a optimum...
The approach to be a beam on elastic foundation. Apply the moment due to the differential settlement specified by the soils engineer in addition to the gravity loads and the thrust from shear walls. In the process, you may need to make a judgement which area is critical situation - will it be...
oops forgot spell check! posting again
It is amazing! that all forgot the FBD the first thing we learned in analysis class 101.
Case 1: one truss element at each slope UL(54plf) applied at top chord; convert it to nodal CL(229.5#), Reaction =459#.
tension at bottom chord = (459 - 229.5) x 12/4 =...
It is amazing! that all forgot the FBD the first thing we learned in analsis class 101.
Case 1: one truss element at each slope UL(54plf) applied at top chord; convert it to nodal CL(229.5#), Reaction =459#.
tension at bottom chord = (459 - 229.5) x 12/4 = 688.5#
Case 2: two truss element at...
Calc1,
Finally you got it right and you will agree with apsix.
I guess apsix try to explain the FBD at the support.
Imagine a king post truss - two truss elements at each roof slope (three node points).
Then, ceiling tension = 3/4 x Reaction x 12/4.