EBK ENGINEERING FUNDAMENTALS: AN INTROD
5th Edition
ISBN: 9780100543409
Author: MOAVENI
Publisher: YUZU
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Chapter 8, Problem 48P
To determine
Express the volume of water in gallons and
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1. The beam is supported by a roller constraint at B, which allows vertical displacement but
resists axial load and moment. If the bar is subjected to the loading shown and constant El
(L = 12 ft, E = 3100 ksi, I = 1728 in (rectangular section 12"x12"), w = 1 klf).
Caution: pay attention to unit conversion between ft and in)
x
W
B
a. Sketch the deflected shape.
L
b. Determine the equations of the slope and the elastic curve using the coordinate x.
First, solve this problem parametrically, and then substitute the numerical
values for L, E, I, w at the end. There will be a significant penalty for solutions
that do not calculate the slope and deflection as parametric functions.
c. Specify the slope (in radians) at point A (parametrically and numerically).
d. Specify the vertical displacement at point B (parametrically and numerically).
4. EI is constant in the beam below (a = 12 ft, b = 5 ft, E = 29,000 ksi, I = 800 in¹
(W18x50), P
=
2 kip):
b
Р
C
a. Sketch the deflected shape.
b. Determine the equations of the slope and the elastic curve using the coordinates x1
and x2.
c. For the AB segment, determine the maximum deflection and its location. Hint: at
maximum deflection, the slope is zero.
d. Specify the slope (in radians) and deflection at point C.
3. EI is constant in the beam below (a = 10 ft, b = 5 ft, E = 29,000 ksi, I = 340 in
(W14x34), Mo = 50 k. ft):
Mo
Mo
a. Sketch the deflected shape.
X2
b. Determine the equations of the slope and the elastic curve using the coordinates x1
and x2. Due to symmetry, only the left side is sufficient. Hint: symmetry requires
the slope to be zero at mid span.
c. Determine the maximum deflection.
d. Specify the slope (in radians) at point A.
Chapter 8 Solutions
EBK ENGINEERING FUNDAMENTALS: AN INTROD
Ch. 8.2 - Prob. 1BYGCh. 8.2 - Prob. 2BYGCh. 8.2 - Prob. 3BYGCh. 8.2 - Prob. 4BYGCh. 8.2 - Prob. BYGVCh. 8.4 - Prob. 1BYGCh. 8.4 - Prob. 2BYGCh. 8.4 - Prob. 3BYGCh. 8.4 - Prob. BYGVCh. 8.5 - Prob. 1BYG
Ch. 8.5 - Prob. 2BYGCh. 8.5 - Prob. 3BYGCh. 8.5 - Prob. 4BYGCh. 8.5 - Prob. BYGVCh. 8 - Prob. 1PCh. 8 - Prob. 3PCh. 8 - Prob. 4PCh. 8 - Prob. 9PCh. 8 - Prob. 10PCh. 8 - Prob. 11PCh. 8 - Prob. 12PCh. 8 - Prob. 13PCh. 8 - Prob. 14PCh. 8 - Prob. 15PCh. 8 - Prob. 17PCh. 8 - Prob. 18PCh. 8 - Prob. 19PCh. 8 - Prob. 20PCh. 8 - Prob. 21PCh. 8 - Prob. 22PCh. 8 - Prob. 23PCh. 8 - Prob. 24PCh. 8 - Prob. 25PCh. 8 - Prob. 26PCh. 8 - Prob. 27PCh. 8 - Prob. 28PCh. 8 - Prob. 29PCh. 8 - Prob. 30PCh. 8 - Prob. 31PCh. 8 - Prob. 32PCh. 8 - Prob. 33PCh. 8 - Prob. 34PCh. 8 - Prob. 35PCh. 8 - Prob. 36PCh. 8 - Prob. 37PCh. 8 - Prob. 38PCh. 8 - Prob. 39PCh. 8 - Prob. 40PCh. 8 - Prob. 41PCh. 8 - Prob. 42PCh. 8 - Prob. 43PCh. 8 - Prob. 44PCh. 8 - Prob. 45PCh. 8 - Prob. 46PCh. 8 - Prob. 47PCh. 8 - Prob. 48PCh. 8 - Prob. 49PCh. 8 - Prob. 50P
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