Engineering Mathematics

method of members

Problem 454 - System of Booms and Pulleys

Problem 454
Determine the horizontal and vertical components of the hinge force at A for the structure shown in Figure P-454. Neglect the weights of the members and of the pulleys.
 

454-system-of-booms-with-pulleys.png

 

Problem 453 - Analysis of A-frame with Weightless Cylinder

Problem 453
For the frame shown in Figure P-453, determine the resultant hinge forces at B, C, and E.
 

453-a-frame-with-cylinder.gif

 

Problem 452 - Weight Supported by a Cable Which Runs Over a Frictionless Pulley

Problem 452
For the frame shown in Figure P-452, determine the horizontal and vertical components of the hinge force at B as it acts upon member AC.
 

452-frame-with-pulley.gif

 

Problem 451 - Components of Hinge Forces of a Frame

Problem 451
The frame shown in Figure P-451 is hinged at E and roller supported at A. Determine the horizontal and vertical components of the hinge forces at B, C, and D. Neglect the weights of the members.
 

451-frame-structure.gif

 

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 445 - Analysis of an X-Frame by Method of Members

Problem 445
The frame shown in Figure P-445 is supported by a hinge at E and a roller at D. Compute the horizontal and vertical components of the hinge force at C as it acts upon BD.
 

445-x-frame-given.gif

 

Problem 444 - Analysis of an A-Frame by Method of Members

Problem 444
The frame shown in Figure P-444 is supported by a hinge at A and a roller at E. Compute the horizontal and vertical components of the hinge forces at B and C as they act upon member AC.
 

444-a-frame-given.gif

 

Problem 443 - Analysis of Frame by Method of Members

Problem 443
The frame shown in Figure P-443 is hinged to rigid supports at A and E. Find the components of the hinge forces A and E and the forces in members BC and BD.
 

443-given-frame.gif

 

Problem 442 - Analysis of Frame by Method of Members

Problem 442
Each member of the frame shown in Figure P-348 weighs 50 lb per ft. Compute the horizontal and vertical components of the pin pressure at C, D, and F.
 

442-given-figure-438.gif

 

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