Explanation Given information: The weight of bar AB is 60 l b . The applied force is 80 l b at an angle 45 ° with horizontal. Virtual work δ U done by force F is defined as: δ U = F . δ r = F cos α δ r In above equation: F - Force δ r - Virtual force α - Angle between F and δ r Virtual displacement δ r B of point B is defined as: δ r B = r A B δ θ In above equation δ θ - Virtual rotation r A B - Magnitude of vector drawn from A to B Calculation: The length y G : y G = L 2 sin θ The length y B : y B = L sin θ The length x B : x B = L cos θ The virtual displacement δ y G : δ y G = L 2 cos θ δ θ The virtual displacement δ x B : δ x B = − L sin θ δ θ The virtual displacement δ y B : δ y B = L cos θ δ θ Virtual work δ U done by acting forces: δ U = − 60 δ y G + 80 cos 45 ° δ x B + 80 sin 45 ° δ y B = − 60 δ y G + 56.568 ( δ x B + δ y B ) Substitute: δ U = − 60 ( L 2 cos θ δ θ ) + 56

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN: 9781305501607

Author: Andrew Pytel And Jaan Kiusalaas

Publisher: CENGAGE L

See similar textbooks

Concept explainers

Axial Load

When a bar of the uniform cross-section is acted by a load, such that the load acts along the longitudinal axis of the bar, such kinds of loadings are known as axial loadings. In general terms, a load is an external force acting on a component. An axial …

Videos

Question

Chapter 10, Problem 10.17P

To determine

The angle of inclination θ of the bar.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 10, Problem 10.16P

Chapter 10, Problem 10.18P

Students have asked these similar questions

ck C rests on the uniform 15-lb bar AB. The cable conne ey at D. Find the magnitude of the force acting between t 30 -2 ft+ -6 ft- C.

Determine the n- and t-components of the force F which is exerted by the rod AB on the crank OA. Evaluate your general expression for F = 118 N and (a) e = 30°, B = 25° and (b) e = 21°, B = 29° Answers: (a) Fn= i N, F: = i N (b) Fn = i N. F:= N

Chapter 10 Solutions

International Edition---engineering Mechanics: Statics, 4th Edition

Ch. 10 - Determine the number of DOF for each of the...Ch. 10 - The uniform bar of weight W is held in equilibrium...Ch. 10 - Bars AB and AC of the mechanism are homogenous...Ch. 10 - The weight of each homogeneous bar of the linkage...Ch. 10 - The 1800-kg boat is suspended from two parallel...Ch. 10 - The 2.4-kg lamp, with center of gravity located at...Ch. 10 - The linkage is made of two homogenous bars of...Ch. 10 - For the frame shown, find the horizontal component...Ch. 10 - The four-bar linkage supports the homogeneous box...Ch. 10 - Prob. 10.10P

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

The angle of inclination θ of the bar.

Solution Summary: The author explains the angle of inclination of the bar. The applied force is 80lb with horizontal.

Concept explainers

Videos

The angle of inclination θ of the bar.

Want to see the full answer?

Chapter 10 Solutions