method of members

Problem 441 - Analysis of Frame by Method of Members

Problem 441
the structure shown in Figure P-441 is hinged at A and C. Find the horizontal and vertical components of the hinge force at B, C, and A.
 

441-given-frame.gif

 

Problem 440 - Frame Analysis by Method of Members

Problem 440
For the frame loaded as shown in Figure P-440, determine the horizontal and vertical components of the pin pressure at B. Specify directions (up or down; left or right) of the force as it acts upon member CD.
 

440-frame-given.gif

 

Problem 004-mm | Method of Members

Problem 004-mm
For the structure shown in Fig. FR-004(MM), members AD, DC, and ABC are assumed to be solid rigid members; member ED is a cable. For this structure, determine the reaction at A, the tension on cable ED, and the force in member DC.
 

Triangular frame supported by cable

 

Method of Members | Frames Containing Three-Force Members

A three-force member is in general a non-axial member that is not simply in tension or compression. A member of this kind has shear forces perpendicular to the member and subjected to bending loads. If forces are applied to more than two positions on the member, it is three-force member. Any beam is a three-force member according to the above definition.
 

Frames are pin-connected structures with some or all members are three-force members. To analyze a frame, we can disconnect the three-force member from the structure and draw the free-body diagram of the member. This approach is called the method of members.
 

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