moment load

Solution to Problem 641 | Deflection of Cantilever Beams

641 Unknown point force P and counterclockwise moment in cantilever beam

Problem 641

For the cantilever beam shown in Fig. P-641, what will cause zero deflection at A?

 

Solution to Problem 638 | Deflection of Cantilever Beams

638 Cantilever Beam with Clockwise Moment Load at Midspan

Problem 638

For the cantilever beam shown in Fig. P-638, determine the value of EIδ at the left end. Is this deflection upward or downward?

 

Solution to Problem 631 | Moment Diagrams by Parts

631 Overhang beam with moment load at free end

Problem 631

Determine the value of the couple M for the beam loaded as shown in Fig. P-631 so that the moment of area about A of the M diagram between A and B will be zero. What is the physical significance of this result?

 

Solution to Problem 629 | Moment Diagrams by Parts

Problem 629
Solve Prob. 628 if the sense of the couple is counterclockwise instead of clockwise as shown in Fig. P-628.

 

Solution to Problem 628 | Moment Diagrams by Parts

628 - 629 Simple beam loaded with triangular and moment loads

Problem 628

For the beam loaded with uniformly varying load and a couple as shown in Fig. P-628 compute the moment of area of the M diagrams between the reactions about both the left and the right reaction.

 

Solution to Problem 624 | Moment Diagrams by Parts

624 Simple beam with moment and point loads

Problem 624

For the beam loaded as shown in Fig. P-624, compute the moment of area of the M diagrams between the reactions about both the left and the right reaction.

 

Moment Diagrams by Parts

Area and Centroid of General Spandrel

The moment-area method of finding the deflection of a beam will demand the accurate computation of the area of a moment diagram, as well as the moment of such area about any axis. To pave its way, this section will deal on how to draw moment diagrams by parts and to calculate the moment of such diagrams about a specified axis.

 

Solution to Problem 619 | Double Integration Method

619 Overhang beam with moment and uniform loads

Problem 619

Determine the value of EIy midway between the supports for the beam loaded as shown in Fig. P-619.

 

Solution to Problem 618 | Double Integration Method

618 Simply supported beam carrying a couple

Problem 618

A simply supported beam carries a couple M applied as shown in Fig. P-618. Determine the equation of the elastic curve and the deflection at the point of application of the couple. Then letting a = L and a = 0, compare your solution of the elastic curve with cases 11 and 12 in the Summary of Beam Loadings (link inactive for a moment).

 

Solution to Problem 617 | Double Integration Method

617 Overhang beam with moment load at the end of the overhang

Problem 617

Replace the load P in Prob. 616 by a clockwise couple M applied at the right end and determine the slope and deflection at the right end.

 

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