CHAPTER 6

# CHAPTER 6 - PROBLEM 6.1 Using the method of joints...

This preview shows pages 1–9. Sign up to view the full content.

PROBLEM 6.1 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. SOLUTION FBD Truss: Joint FBDs: Joint B : N Joint C : N () ( ) ( ) 0: 6.25 m 4 m 315 N 0 240 N By y MC Σ= = = C 0: 315 N 0 75 N yy y y FB C + = = B 0: 0 xx F = B 75 N 54 3 AB BC FF == 125.0 N C AB F = W 100.0 N T BC F = W By inspection: 260 N C AC F = W

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
PROBLEM 6.2 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. SOLUTION FBD Truss: Joint FBDs: Joint C : Joint A : () ( ) ( ) 0: 14 ft 7.5 ft 5.6 kips 0 3 kips Ax x MC Σ= = = C 0: 0 3 kips xx x x FA C Σ= − + = = A 0: 5.6 kips 0 5.6 kips yy y = = A 3 kips 54 3 BC AC FF == 5.00 kips C BC F = W 4.00 kips T AC F = W 1.6 kips 8.5 4 AB F = 3.40 kips T AB F = W
PROBLEM 6.3 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. SOLUTION FBD Truss: Joint FBDs: Joint C : Joint B : () ( ) 0: 6 ft 6 kips 9 ft 0 4 kips By y MC Σ= = = C 0: 6 kips 0 10 kips yy y y FB C − = = B 0: 0 xx F = C 4 kips 17 15 8 AC BC FF == 8.50 kips T AC F = W 7.50 kips C BC F = W By inspection: 12.50 kips C AB F = W 10 kips 54 AB F =

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
PROBLEM 6.4 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. SOLUTION FBD Truss: Joint FBDs: Joint D : Joint C : Joint B : ()( ) ( ) ( ) 0: 1.5 m 2 m 1.8 kN 3.6 m 2.4 kN 0 By MC Σ= + = 3.36 kN y = C 0: 3.36 kN 2.4 kN 0 yy FB + = 0.96 kN y = B 2 0: 2.4 kN 0 2.9 yA D FF = 3.48 kN T AD F = W 2.1 0 2.9 xC D A D F = 2.1 (3.48 kN) 2.9 CD F = 2.52 kN C CD F = W By inspection: 3.36 kN C AC F = W 2.52 kN C BC F = W 4 0: 0.9 kN 0 5 B = 1.200 kN T AB F = W
PROBLEM 6.5 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. SOLUTION FBD Truss: Joint FBDs: Joint B : Joint C : Joint A : 0: x F Σ= 0 x = C By symmetry: 6 kN yy == CD 1 3 kN 0 5 yA B FF Σ= − + = 3 5 6.71 kN T AB F W 2 0 5 xA B B C F = 6.00 kN C BC F = W 3 0: 6 kN 0 5 C = 10.00 kN C AC F = W 4 0: 6 kN 0 5 C C D F + = 2.00 kN T CD F = W 13 2 3 5 kN 2 10 kN 6 kN 0 check 5 5 y F  + =   By symmetry: 6.71 kN T AE AB W 10.00 kN C AD AC W 6.00 kN C DE BC W

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
PROBLEM 6.6 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. SOLUTION FBD Truss: Joint FBDs: Joint C : Joint D : () ( ) ( ) ( ) ( ) 0: 25.5 ft 6 ft 3 kips 8 ft 9.9 kips 0 Ay MC Σ= + = 2.4 kips y = C 0: 2.4 kips 9.9 kips 0 yy FA + = 7.4 kips y = A 0: 3 kips 0 xx Σ= − + = 3 kips x = A 2.4 kips 12 18.5 18.5 CD BC FF == 3.70 kips T CD F = W 3.70 kips C BC F = W or: 0: x BC CD F = 6 0: 2.4 kips 2 0 18.5 yB C = same answers 17.5 4 0: 3 kips 3.70 kips 0 18.5 5 xA D + = 8.125 kips AD F = 8.13 kips T AD F = W 63 0: 3.7 kips 8.125 kips 0 18.5 5 D + = 6.075 kips BD F = 6.08 kips C BD F = W
Joint A : PROBLEM 6.6 CONTINUED () 44 0: 3 kips 8.125 kips 0 55 xA B FF Σ= − + = 4.375 kips AB F = 4.38 kips C AB F = W

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
PROBLEM 6.7 Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

### Page1 / 215

CHAPTER 6 - PROBLEM 6.1 Using the method of joints...

This preview shows document pages 1 - 9. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online