Engineering Mechanics - Statics Chapter 6The Pratt bridge truss is subjected to the loading shown.. Engineering Mechanics - Statics Chapter 6Determine the force in members CD, CJ, KJ, an
Trang 1Determine the force in each member of the truss and state if the members are in tension or
Trang 2Engineering Mechanics - Statics Chapter 6
Positvive means Tension, Negative means Compression
− 0 0
− 0 0
Trang 3− 6.69 3.46
− 6.69 3.46
Trang 4Engineering Mechanics - Statics Chapter 6
Joint I F2 + ( FGI FCI + − FAI ) cos ( ) θ = 0
FHI FBI − +(FGI FAI − − FCI)sin ( ) θ = 0
Trang 5− 0
− 2.15
− 8.08
The Howe bridge truss is subjected to the loading shown Determine the force in members DE,
EH, and HG, and state if the members are in tension or compression.
Units Used:
kN = 10 3 N
Trang 6Engineering Mechanics - Statics Chapter 6
The Pratt bridge truss is subjected to the loading shown Determine the force in members LD,
LK, CD, and KD, and state if the members are in tension or compression.
Units Used:
kN = 10 3 N
Trang 7− 112.5 50
Trang 8Engineering Mechanics - Statics Chapter 6
Problem 6-32
The Pratt bridge truss is subjected to the loading shown Determine the force in members JI,
JE, and DE, and state if the members are in tension or compression.
Trang 9− 75
The roof truss supports the vertical loading shown Determine the force in members BC, CK,
and KJ and state if these members are in tension or compression.
Trang 10Engineering Mechanics - Statics Chapter 6
Determine the force in members CD, CJ, KJ, and DJ of the truss which serves to support the
deck of a bridge State if these members are in tension or compression.
Trang 11− 0 9.375
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Determine the force in members EI and JI of the truss which serves to support the deck of a
bridge State if these members are in tension or compression.
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− 0
Determine the force developed in members GB and GF of the bridge truss and state if these
members are in tension or compression.
Given:
F1 = 600 lb
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− 0 8.49
Trang 17Determine the force in members IC and CG of the truss and state if these members are in tension
or compression Also, indicate all zero-force members.
By inspection of joints B, D, H and I.
AB, BC, CD, DE, HI, and GI are all zero-force members.
− 9 5.625
Trang 18Engineering Mechanics - Statics Chapter 6
By inspection of joints B, D, H and I.
AB, BC, CD, DE, HI, and GI are all zero-force members.
− 5.625
Determine the force in members BC, HC, and HG After the truss is sectioned use a single
equation of equilibrium for the calculation of each force State if these members are in tension
or compression.
Units Used:
kN = 10 3 N
Trang 19Problem 6-43
Trang 20Engineering Mechanics - Statics Chapter 6
Trang 21− 3.207 6.8
− 9.155 9.155
Determine the force in members OE, LE, and LK of the Baltimore truss and state if the
members are in tension or compression.
Trang 22Engineering Mechanics - Statics Chapter 6
Trang 23⎜⎝ ⎞⎟ ⎟⎠
1.5 2
F2
− ( ) a − F3 2a ( ) − F4 3a ( ) + Ey 4a ( ) = 0
( ) Solution:
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− 1 2
Determine the force in members KJ, JN, and CD, and state if the members are in tension or
compression Also indicate all zero-force members.
Trang 25F a b
2 +
Trang 26Engineering Mechanics - Statics Chapter 6
FBG = 1 kN Initial Guesses
Trang 27− 1.803 8
The skewed truss carries the load shown Determine the force in members CB, BE, and EF
and state if these members are in tension or compression Assume that all joints are pinned.
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Determine the force developed in members BC and CH of the roof truss and state if the
members are in tension or compression.
Trang 29Determine the force in members CD
and GF of the truss and state if the
members are in tension or
compression Also indicate all
Trang 30Engineering Mechanics - Statics Chapter 6
Determine the force in members DE, DL,
and ML of the roof truss and state if the
members are in tension or compression.
Trang 31Ay F1 − − F2 − F3 + FDE sin ( ) θ − FDL sin ( ) φ = 0
FML FDL cos + ( ) φ + FDE cos ( ) θ = 0
− 3.8
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− 142
Determine the force in each member of the space truss and state if the members are in tension or
compression.The truss is supported by short links at B, C, and D.
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− 175
− 25 79.1
Determine the force in each member of the space truss and state if the members are in tension
or compression.The truss is supported by short links at A, B, and C.
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Positive (T) Negative (C)
− 0 667 300
− 0
− 786 391
− 0
The space truss is supported by a
ball-and-socket joint at D and short
links at C and E Determine the
force in each member and state if
the members are in tension or
compression.
Given:
F1
0 0 500
Trang 390 0
b
− 0
− 0 0 266.667
− 500
− 0
Trang 40Engineering Mechanics - Statics Chapter 6