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Unformatted text preview: 05Ch05.qxd 9/25/08 2:29 PM Page 477 477 SECTION 5.12 Beams with Axial Loads Problem 5.12-3 A curved bar ABC having a circular axis (radius h B r 12 in.) is loaded by forces P 400 lb (see figure). The cross
section of the bar is rectangular with height h and thickness t.
If the allowable tensile stress in the bar is 12,000 psi and the
height h 1.25 in., what is the minimum required thickness tmin ? C A P P
t Solution 5.12-3 Curved bar
ra1 M Pe 1
12 r cos 45° Pr
2 height t 12) tmin P
c 1 + 3(2
h SUBSTITUE NUMERICAL VALUES:
P thickness A r
h MINIMUM THICKNESS CROSS SECTION
c 1 + 3(2
ht radius of curved bar e P
S ht S 12
6 400 lb s allow r 12 in. h tmin 12,000 psi 1.25 in. 0.477 in. ; B Problem 5.12-4 A rigid frame ABC is formed by welding two
steel pipes at B (see figure). Each pipe has cross-sectional area
A 11.31 * 103 mm2, moment of inertia I 46.37 * 106 mm4,
and outside diameter d 200 mm.
Find the maximum tensile and compressive stresses st and sc,
respectively, in the frame due to the load P 8.0 kN if L H 1.4 m. d d P H A C
L L ...
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- Fall '11