Assignment 10

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Assignment 10 Key solutions Chapter 6, Problem 86. Determine the components of the reactions at A and E when a counterclockwise couple of magnitude 192 lbin. is applied to the frame (a) at B, (b) at D. Chapter 6, Solution 86. (a) FBD AC: (b) FBD CE: Note: CE is a two-force member Note: AC is a two-force member

Transcript of Assignment 10

Page 1: Assignment 10

Assignment 10 Key solutions

Chapter 6, Problem 86.

Determine the components of the reactions at A and E when a counterclockwise couple of magnitude 192 lbin. is applied to the frame (a) at B, (b) at D.

Chapter 6, Solution 86.

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(a) FBD AC:

(b) FBD CE:

Note: CE is a two-force member

Note: AC is a two-force member

Chapter 6, Problem 89.

The 120-N load can be moved along the line of action shown and can be applied at A, D, or E. Determine the components of the reactions at B and F when the 120-N load is applied (a) at A, (b) at D, (c) at E.

Chapter 6, Solution 89.

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(a) FBD ACF:

(b) FBD BCE:

Note: BC is a two-force member

Note ACF is a two-force member

(c) Moving the 120 N force from D to E does not affect the reactions. The answers are the same as in part (b).

Chapter 6, Problem 95.

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Knowing that the pulley has a radius of 75 mm, determine the components of the reactions at A and B.

Chapter 6, Solution 95.

FBD Frame & pulley:

FBD AD:

From above

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Chapter 6, Problem 100.

For the frame and loading shown, determine the components of the forces acting on member ABC at B and C.

Chapter 6, Solution 100.

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FBD Frame:

FBD DE:

FBD ABC:

On ABC: ,

,

Chapter 6, Problem 106.

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Knowing that P = 411 lb and Q = 0, determine for the frame and loading shown (a) the reaction at D, (b) the force in member BF.

Chapter 6, Solution 106.

\

FBD Frame:

FBD DF: Note that BF and CE are two-force members.

Solving:

, so (a) 18.18°

(b)

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Chapter 6, Problem 118.

The shear shown is used to trim electronic-circuit-board laminates. Knowing that P = 400 N, determine (a) the vertical component of the force exerted on the shearing blade at D, (b) the reaction at C.

Chapter 6, Solution 118.

FBD ABC:

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FBD Blade:

(a) Vertical component at

(b)

Chapter 6, Problem 122.

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The control rod CE passes through a horizontal hole in the body of the toggle clamp shown. Determine (a) the force Q required to hold the clamp in equilibrium, (b) the corresponding force in link BD.

Chapter 6, Solution 122.

FBD ABC:

FBD CE:

(a)

(b)

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Chapter 7, Problem 1.

For the frame and loading of Prob. 6.99, determine the internal forces at a point J located halfway between points B and E.

Chapter 7, Solution 1.

FBD FRAME:

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FBD JEHDF:

Thus,

Chapter 7, Problem 5.

Determine the internal forces at point J of the structure shown.

Chapter 7, Solution 5.

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FBD Frame:

FBD AJ:

Note: AB is a two-force member, so

(1)

From (1) above,

Chapter 7, Problem 6.

Determine the internal forces at point K of the structure shown.

Chapter 7, Solution 6.

FBD CD:Note: AB is a two-force member

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FBD CK: