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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
1
/
1
100%