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5.47 Find the displacement response of the simple framework of Fig. P5.47.
FIGURE P5.47
A plane frame.
5.48 Figure P5.48 shows a crane boom with a uniform beam supported by a tie bar. Consider
a model with two DOF (two translations) at
a
and three DOF (two translations and
one rotation) at
b
and
c
.
Find the two element stiffness matrices and assemble the
8
×
8 unconstrained global stiffness matrix.
FIGURE P5.48
A crane boom.
5.49 Form the unassembled global stiffness matrix
k
for the structure of Fig. P5.48. Also,
find the global kinematics matrix
a
and, finally, assemble the global matrix using
K
a
T
ka
.
5.50 Compute the displacements of node
d
of the frame of Chapter 3, Fig. P3.11.
5.51 Calculate the displacements of points
a
and
c
of the frame of Chapter 3, Fig. P3.12.
5.52 Find the displacements of the free end of the frame of Chapter 3, Fig. P3.21.
5.53 Find the pressure between the two simply supported beams of Chapter 3, Fig. P3.29.
5.54 For the frame of Fig. P5.54, determine the distribution of deflection, moment, shear
force, and axial force for the two loading cases given.
Answer:
Partial results are displayed in Fig. P5.54.
=
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