Unformatted text preview: PROBLEM 2.29 SOLUTION 2.29 A homogeneous cable of length L and uniform cross section is suspended from
one end. (a) Denoting by pthe density (mass per unit volume) of the cable and by E
its modulus of elasticity, determine the elongation of the cable due to its own weight.
(13) Assuming now the cable to be horizontal, detennine the force that should be
applied to each end of the cable to obtain the same elongation as in part a. (a) For aﬁemem'i w‘l‘ Pm‘m'l' idew'ii'FiIJ b" amVélI‘ha‘i’e y
’P = were,” al‘ Fori'i‘on balm) +1.2 poM/l =ﬁgACL—j3
_ P _ ACL-uh ’(L—)
as- E%L-ﬂ%ﬁrLJ_ £%?1.§: S= §£i%mﬂdr= ' Val 2.30 Determine the deﬂection of the apex A of a homogeneous circular cone of height
h, density p, and modulus of elasticity E, due to its own weight. SOLUTION Lc‘i ID 1' V‘lw’fus
0'? 1419. base and
Y‘ '= “At-()5 041' sec-f [on w; +L ...
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- Summer '10