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Statics 2e 819
Problem 6.13
For the truss shown in Fig. P6.10, each member can support a maximum tensile force of
20 kN
and a
maximum compressive force of 12 kN.
If PD4kN and QD1kN, determine the factor of safety for the truss.
Solution
Problem 6.14
For the truss shown in Fig. P6.10, each member can support a maximum tensile force of
20 kN
and a
maximum compressive force of 12 kN.
If QDP =4, determine the largest positive value of Pthat can be applied.
Problem 6.15
Determine the force supported by each member of the truss. Express your answers
in terms of Pand Q.
Problem 6.16
Each member can support a maximum tensile force of
15 kip
and a maximum
compressive force of
10 kip
. If
0P4kip
and
0Q4kip
, determine the
lowest factor of safety for the truss. Hint: The answer is the lowest factor of safety
among the three load cases
PD4kip
and
QD0
,
PD0
and
QD4kip
, and
PDQD4kip.
Problem 6.17
Determine the force supported by each member of the truss. Express your answers in
terms of Pand Q.
Problem 6.18
Each member can support a maximum tensile force of
3kN
and a maximum compres-
sive force of
2kN
. If
0P400
N and
0Q400
N, determine the lowest factor
of safety for the truss. Hint: The answer is the lowest factor of safety among the three
load cases PD400 N and QD0,PD0and QD400 N, and PDQD400 N.
Problem 6.19
The structure consists of seven pin-connected members. Determine the force
supported by all members. Express your answers in terms of parameters such
as Fand L.
Problem 6.20
The structure consists of seven pin-connected members. Determine the force
supported by all members. Express your answers in terms of parameters such
as Fand L.
Problem 6.21
The structure consists of seven pin-connected members. Determine the force
supported by all members. Express your answers in terms of parameters such
as Fand L.
2D0)TDE D F
2.(5)
Since
TAD D0
, examination of joint
A
shows, by inspection, that both members
AB
and
AC
are zero-force.
If this fact is not noticed, then the same conclusion is obtained by drawing the FBD for joint A, and writing
and solving the equations PFxD0and PFyD0. Hence,
p5D0)TBE D
2F.(9)
PFyD0
Problem 6.22
The structure consists of pin-connected members. Determine the force sup-
ported by all members.
Problem 6.23
The structure consists of pin-connected members. Determine the force sup-
ported by all members.
Problem 6.24
The structure consists of pin-connected members. Determine the force sup-
ported by all members.
Problem 6.25
ABollman truss is shown. Determine the force supported by each of the five
bars and four cables.
Problem 6.26
By inspection, identify the zero-force members in the truss.
Problem 6.27
By inspection, identify the zero-force members in the truss.
Problem 6.28
By inspection, identify the zero-force members in the truss.
