Method of Joints

Problem 447 - Compound Truss Formed Into Three-Hinged Arch

Problem 447
The truss are joined as shown in Figure P-447 to form a three-hinged arch. Determine the horizontal and vertical components of the hinge force at B and then determine the type and magnitude of force in bars BD and BE.
 

447-compound-truss.gif

 

Problem 446 - Compound Truss Formed Into Three-Hinged Arch

Problem 446
A three-hinged arch is composed of two trusses hinged together at D in Figure P-446. Compute the components of the reaction at A and find the forces acting in bars AB and AC.
 

446-compound-truss.gif

 

Problem 424 - Method of Joints Checked by Method of Sections

Problem 424
For the truss shown in Fig. P-424, determine the force in BF by the method of joints and then check this result using the method of sections. Hint: To apply the method of sections, first obtain the value of BE by inspection.
 

424-triangular-truss.gif

 

Problem 414 Truss by Method of Joints

Problem 414
Determine the force in members AB, BD, and CD of the truss shown in Fig. P-414. Also solve for the force on members FH, DF, and DG.
 

414-truss.gif

 

Problem 413 Crane by Method of Joints

Problem 413
Determine the force in each member of the crane shown in Fig. P-413.
 

413-crane.gif

 

Solution 413

Problem 412 Right Triangular Truss by Method of Joints

Problem 412
Compute the force in each member of the truss shown in Fig. P-412. If the loads at B and D are shifted vertically downward to add to the loads at C and E, would there be any change in the reactions? Which members, if any, would undergo a change in internal force?
 

412-right-triangular-truss.gif

 

Problem 411 Cantilever Truss by Method of Joints

Problem 411
Determine the force in members AB, AC, BD, CD, and CE of the cantilever truss shown in Fig. P-411. If the loads were applied at C and E instead of at B, specify which members would have their internal force changed.
 

411-cantilever-truss.gif

 

Problem 410 Pratt Roof Truss - Method of Joints

Problem 410
Determine the force in each member of the Pratt roof truss shown in Fig. P-410.
 

410-pratt-roof-truss.gif

 

Problem 409 Howe Roof Truss - Method of Joints

Problem 409
Determine the force in members AB, BD, BE, and DE of the Howe roof truss shown in Fig. P-409.
 

409-howe-truss.gif

 

Problem 408 Warren Truss - Method of Joints

Problem 408
Compute the force in each member of the Warren truss shown in Fig. P-408.
 

408-warren-truss-method-of-joints.gif

 

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