Topic 6.3: Columns & Buckling - Problem Assignment
1. A 10 foot long wood beam, nominally 2" by 4" (actual
1.5" by 3.5"), is used as a
pinned-pinned column. Determine the slenderness ratio, and the Euler Buckling load
for this column. Young's modulus is 1.8 x 10 6 lb/in2, and the
allowable yield stress is 6000 psi.
(277, 1220 lb.)
2. A 16 foot long wood beam, nominally 4" by 8" (actual
3.5" by 7.25"), is used as a fixed -
pinned column. Determine the slenderness ratio, and the Euler Buckling load for this
column. Young's modulus is 2 x 10 6 lb/in2, and the allowable
yield stress is 6600 psi.
(133, 28,360 lb.)
3. A 16 foot long WT 6 x 46 steel T-beam is used as a fixed - free column.
Determine the slenderness ratio, the Euler Buckling load, and the axial stress when the
Euler Buckling load is applied. Young's modulus is 30 x 10 6 lb/in2,
and the allowable yield stress is 38 x 10 3 lb/in2.
(254, 61,810 lb., 4580 psi.)
4. A wood yard stick has dimensions, length = 36", width = 2", thickness =
3/8". If one end of the year stick is held fixed and a person pushes on the
other end, what force will cause the yard stick to fail in Euler buckling. Assume
both fixed-free, and fixed - pinned columns and compare your answers. Use a
Young's modulus of 2 x 10 6 lb/in2, and the
allowable yield stress of 6000 psi.
[fixed-free: 34 lb. (45psi.); fixed-pinned: 274 lb. (365 psi.)]
5. A 40 foot long W8 x 40 structural steel I-beam is used as a column.
Young's modulus is 30 x 10 6 lb/in2 , and the allowable yield stress
is 35 x 10 3 lb/in2 . Determine the maximum safe load
assuming:
a) pinned-pinned; b) pinned-fixed; c) fixed - free; d) fixed - fixed conditions for ends
of the beam.
[ a. 32,950 lb (2790 psi), b. 67100 lb. (5680 psi), c. 8200 lb. (695 psi), d. 127,200 lb.
(10,780 psi)]
6. Select the best (safe & lightest) structural steel wide flange I-beam (from web
table) to be used as a 16 foot long, pinned-pinned, column to support an axial load
of 120,000 lb. Young's modulus is 30 x 10 6 lb/in2 , and the
allowable yield stress is 36 x 10 3 lb/in2 .
(W8x31)
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Topic 6: Columns & Pressure
Vessels - Table of Content
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