February 2013

Problem 405 | Method of Joints

Problem 405
Determine the force in each bar of the truss shown in Fig. P-405 caused by lifting the 120 kN load at a constant velocity of 8 m per sec. What change in these forces, if any, results from placing the roller support at D and the hinge support at A?
 

405-truss-pulley.gif

 

Problem 406 Cantilever Truss - Method of Joints

Problem 406
The cantilever truss in Fig. P-406 is hinged at D and E. Find the force in each member.
 

406-cantilever-truss.gif

 

Problem 407 Cantilever Truss - Method of Joints

Problem 407
In the cantilever truss shown in Fig. P-407, compute the force in members AB, BE, and DE.
 

407-cantilever-truss.gif

 

Jhun Vert's picture

Calculator Technique for Solving Volume Flow Rate Problems in Calculus

Flow Problems in Calculus Solved by a Formula from Physics | Differential Calculus

The following models of CASIO calculator may work with this method: fx-570ES, fx-570ES Plus, fx-115ES, fx-115ES Plus, fx-991ES, and fx-991ES Plus.
 

The following calculator keys will be used for the solution

Name Key Operation
Shift shift.jpg SHIFT
Mode mode-setup.jpg MODE
Name Key Operation
Stat 1-stat.jpg SHIFT → 1[STAT]
AC ac-off.jpg AC

 

This is one of the series of post in calculator techniques in solving problems. You maybe interested also on my previous post in calculator technique for progression problems and calculator technique for clock problems; both in Algebra.
 

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

 

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 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 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 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 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 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 417 - Roof Truss by Method of Sections

Problem 417
Using the method of sections, determine the force in members BD, CD, and CE of the roof truss shown in Fig. P-417.
 

417-truss-with-one-concentrated-load.gif

 

Problem 418 - Warren Truss by Method of Sections

Problem 418
The Warren truss loaded as shown in Fig. P-418 is supported by a roller at C and a hinge at G. By the method of sections, compute the force in the members BC, DF, and CE.
 

418-warren-truss.gif

 

Problem 419 - Warren Truss by Method of Sections

Problem 419
Use the method of sections to determine the force in members BD, CD, and CE of the Warren truss described in Problem 408.
 

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

 

Problem 420 - Howe Truss by Method of Sections

Problem 420
Determine the force in members DF, DG, and EG of the Howe truss shown in Fig. P-420.
 

420-howe-truss.gif

 

Problem 421 - Cantilever Truss by Method of Sections

Problem 421
Use the method of sections to compute for the force in members DF, EF, and EG of the cantilever truss described in Problem 411 and Fig. P-411.
 

411-cantilever-truss.gif

 

Problem 422 - Right-triangular Truss by Method of Sections

Problem 422
Refer to the truss described in Problem 412 and compute the force in members BD, CD, and CE by the method of sections.
 

412-right-triangular-truss.gif