sm10 105

Excerpts from this work may be reproduced by instructors for distribution on a not-for-profit basis for testing or
instructional purposes only to students enrolled in courses for which the textbook has been adopted. Any other
reproduction or translation of this work beyond that permitted by Sections 107 or 108 of the 1976 United States
Copyright Act without the permission of the copyright owner is unlawful.
________________________________________________________________________
PROBLEM (10.105) A cantilever beam AB supported by a rod AC at its free end A, carries a
uniform load of intensity w (Fig. P10.105). Determine the force T in the rod.
Assumptions: IE is the flexural rigidity of the beam and EA is the axial rigidity of the rod.
Before the load is applied, the rod is free of force.
SOLUTION
Refer to Table B.14.
4
() 8
AW wL
vEI
=
↓
3
() 3
AT TL
vEI
=
↑
ATa
AE
δ =
Compatibility condition at A:
() ()
AAWAT
vv
δ
=+; 43
83
Ta wL TL
AE EI EI
=−
Solving, 4
3
3
824
wAL
TAL aI =+
B
A
δ
A
()
Aw
v
T
()
AT
v
w
T
L