Homework Assignment # 9
1. The displacement, y, of a beam shown is related to the moment function, M(x), by what sort of
relationship? (2 points)
1/2
C
constant K
A. A simplified model consists of two rigid rods connected by a frictionless
joint.
B. The internal force and couple at the center of a beam is modeled by a
pin and torsional spring.
C. A common two-member structure to which buckling analysis is applied.
D. An example of an inherently unstable structure.
2.
1/2
B
For a column shown, the load under which the slightest misalignment
or disturbance will cause the column to buckle into a curved shape is
called ______ load. (one word, 2 points)
3 5
16 4
x in.
4. Determine the critical load of a pin-ended wooden stick that is 3 ft long and has a $\frac{3}{16} \times \frac{5}{4}$ in.
rectangular cross section. Use $E = 1.6 \times 10^6$ psi. (Round the final answer to two decimal places.)
(6 points)
3/16 in.
1.25in.