simple beam

Solution to Problem 654 | Deflections in Simply Supported Beams

Problem 654
For the beam in Fig. P-654, find the value of EIδ at 2 ft from R2. (Hint: Draw the reference tangent to the elastic curve at R2.)
 

Simple beam subjected to rectangular loading

 

Solution to Problem 653 | Deflections in Simply Supported Beams

Problem 653
Compute the midspan value of EIδ for the beam shown in Fig. P-653. (Hint: Draw the M diagram by parts, starting from midspan toward the ends. Also take advantage of symmetry to note that the tangent drawn to the elastic curve at midspan is horizontal.)
 

Simple beam with symmetrically placed rectangular load

 

Deflections in Simply Supported Beams | Area-Moment Method

The deflection δ at some point B of a simply supported beam can be obtained by the following steps:
 

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.
 

Simple beam loaded with triangular and moment loads

 

Solution to Problem 628 | Moment Diagrams by Parts

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.
 

Simple beam loaded with triangular and moment loads

 

Solution to Problem 627 | Moment Diagram by Parts

Problem 627
For the beam loaded as shown in Fig. P-627compute the moment of area of the M diagrams between the reactions about both the left and the right reaction. (Hint: Resolve the trapezoidal loading into a uniformly distributed load and a uniformly varying load.)
 

627-uniformly-varying.gif

 

Solution to Problem 626 | Moment Diagram by Parts

Problem 626
For the beam loaded as shown in Fig. P-626, compute the moment of area of the M diagrams between the reactions about both the left and the right reaction.
 

Simple beam with uniform load over the middle span

 

Solution to Problem 625 | Moment Diagram by Parts

Problem 625
For the beam loaded as shown in Fig. P-625, compute the moment of area of the M diagrams between the reactions about both the left and the right reaction. (Hint: Draw the moment diagram by parts from right to left.)
 

Uniform load over 3/4 of span and concentrated load at midspan of simple beam

 

Solution to Problem 624 | Moment Diagram by Parts

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.
 

Simple beam with moment and point loads

 

Solution to Problem 620 | Double Integration Method

Problem 620
Find the midspan deflection δ for the beam shown in Fig. P-620, carrying two triangularly distributed loads. (Hint: For convenience, select the origin of the axes at the midspan position of the elastic curve.)
 

Beam loaded with symmetrical triangular load

 

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