Concept explainers
Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.
The force in each of the member of the truss using method of joints and whether each member is in tension or compression.
Answer to Problem 6.164RP
The force in member
Explanation of Solution
The free-body diagram of the truss is shown in figure 1.
The sum of the moments about the point
Here,
The above equation gives,
Here,
The
Here,
The above equation gives,
Here,
The
Here,
The above equation gives,
Here,
The free-body diagram of joint E is shown in figure 2.
The joint E is subject to the forces exerted by
Obtain the magnitudes of the two forces from proportion.
Here,
The free-body diagram of the joint B is shown in figure 3. Write the equilibrium equations.
Here,
Write the expression for
Here,
Put the above equation in equation (I).
The
Here,
Write the expression for
Here,
Put the above equation in equation (II).
The free-body diagram of the joint D is shown in figure 4.
Write the expression for
Here,
Put the above equation in equation (II).
Write the expression for
Here,
Put the above equation in equation (I).
Conclusion:
Thus, the force in member
Want to see more full solutions like this?
Chapter 6 Solutions
Vector Mechanics for Engineers: Statics and Dynamics
- Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression.arrow_forwardUsing the method of joints, determine the force in each member of the trussshown. State whether each member is in tension or compression.arrow_forwardUsing the method of joints,determine the force in each member of the truss shown in given image. state whether each member is in tension or compression.arrow_forward
- Using method of joints, determine the force in each member of the truss shown. Indicate whether the members are in tension or compression.arrow_forwardUsing the method of joints, calculate the force in each member of the trusse shown. State whether each member is in tension or compression.arrow_forwardUsing the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. 1.4 m -0.75 m- T 0.4 m B 2.8 kNarrow_forward
- Using the method of joints, calculate the force in each member of the trusses shown. State whether each member is in tension or compression.arrow_forwardDetermine the force acting in members BD, BE, CE and DE of the Bowstring truss shown below. Indicate whether tension or compression. Use the method of joints.arrow_forwardPlease help me identify the zero force members in this truss.arrow_forward
- The truss shown has a pin at A and a roller at C. Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. 6 ft 6 ft 19.9 kips D 8 ft-º 3 kips 17.5 ft-arrow_forward3. Using the method of joints, determine the force in each member of the truss shown. State whether each member is in tension or compression. 2000 lb 1000 lb -12 ft - -12 ft- A B 8 ft D -12 ft 6 ft 6 ftarrow_forwardUsing the method of joints, calculate the force in each member ofthe trusses shown below. State whether each member is in tension or compression.arrow_forward
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY