Chapter 6 Homework DF, DG, and EG and use the free body shown

PROBLEM 6.45

Determine the force in members BD and CD of the truss

shown.

SOLUTION

Reactions from Free body of entire truss:

27 kips

y

AA



PROBLEM 6.46

Determine the force in members DF and DG of the truss

shown.

SOLUTION

Reactions from Free body of entire truss:

27 kips

y

AA



PROBLEM 6.47

Determine the force in members CD and DF of the truss shown.

SOLUTION

Reactions:

PROBLEM 6.48

Determine the force in members FG and FH of the truss shown.

SOLUTION

Reactions:

PROBLEM 6.49

Determine the force in members CD and DF of the truss shown.

SOLUTION

PROBLEM 6.50

Determine the force in members CE and EF of the truss shown.

SOLUTION

PROBLEM 6.51

Determine the force in members DE and DF of the truss

shown when P  20 kips.

SOLUTION

Reactions:

2.5P

CK

7.5

tan 18





PROBLEM 6.52

Determine the force in members EG and EF of the truss

shown when P  20 kips.

SOLUTION

Reactions:

2.5

7.5

tan 6

P







CK

PROBLEM 6.53

Determine the force in members DF and DE of the truss shown.

SOLUTION

PROBLEM 6.54

Determine the force in members CD and CE of the truss shown.

SOLUTION

PROBLEM 6.55

A monosloped roof truss is loaded as shown. Determine the

force in members CE, DE, and DF.

SOLUTION

Reactions at supports: Because of the symmetry of the loading,

0

11

(Total load) (8 kN)

22

x

y

A

AI



 

4kNAI



PROBLEM 6.56

A monosloped roof truss is loaded as shown. Determine the

force in members EG, GH, and HJ.

SOLUTION

Reactions at supports: Because of the symmetry of the loading,

0

x

A



PROBLEM 6.57

A Howe scissors roof truss is loaded as shown.

Determine the force in members DF, DG, and EG.

SOLUTION

Reactions at supports.

Because of symmetry of loading,

11

0, (total load) (9.60 kips) 4.80 kips

22

xy

AAL  

4.80 kipsAL



PROBLEM 6.58

A Howe scissors roof truss is loaded as shown.

Determine the force in members GI, HI, and HJ.

SOLUTION

Reactions at supports. Because of symmetry of loading,

0,

x

A

1(Total load)

2

1(9.60 kips)

2

y

AL



4.80 kips 4.80 kipsAL



PROBLEM 6.59

Determine the force in members AD, CD, and CE of

the truss shown.

SOLUTION

Reactions:

PROBLEM 6.60

Determine the force in members DG, FG, and FH of the

truss shown.

SOLUTION

Reactions:

0: 9 kips(8 ft) (45 ft) 5 kips(30 ft) 5 kips(15 ft) 0

k

MB    

6.6 kipsB

0: 9 kips 0 9 kips

xxx

FK    

K

PROBLEM 6.61

Determine the force in members DG and FI of the truss shown. (Hint:

Use section aa.)

SOLUTION

PROBLEM 6.62

Determine the force in members GJ and IK of the truss shown. (Hint:

Use section bb.)

SOLUTION

PROBLEM 6.63

Determine the force in members EH and GI of the

truss shown. (Hint: Use section aa.)

SOLUTION

Reactions:

PROBLEM 6.64

Determine the force in members HJ and IL of the

truss shown. (Hint: Use section bb.)

SOLUTION

See the solution to Problem 6.63 for free body diagram and analysis to determine the reactions at supports

A and P.