maximum deflection

Solution to Problem 643 | Deflection of Cantilever Beams

Problem 643
Find the maximum value of EIδ for the cantilever beam shown in Fig. P-643.
 

Concentrated load in Cantilever Beam

 

Solution to Problem 642 | Deflection of Cantilever Beams

Problem 642
Find the maximum deflection for the cantilever beam loaded as shown in Figure P-642 if the cross section is 50 mm wide by 150 mm high. Use E = 69 GPa.
 

Uniform load over the free end of cantilever beam

 

Solution to Problem 636 | Deflection of Cantilever Beams

Problem 636
The cantilever beam shown in Fig. P-636 has a rectangular cross-section 50 mm wide by h mm high. Find the height h if the maximum deflection is not to exceed 10 mm. Use E = 10 GPa.
 

Cantilever beam with two concentrated loads

 

Solution to Problem 621 | Double Integration Method

Problem 621
Determine the value of EIδ midway between the supports for the beam shown in Fig. P-621. Check your result by letting a = 0 and comparing with Prob. 606. (Apply the hint given in Prob. 620.)
 

621-given-figure.jpg

 

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

 

Solution to Problem 616 | Double Integration Method

Problem 616
For the beam loaded as shown in Fig. P-616, determine (a) the deflection and slope under the load P and (b) the maximum deflection between the supports.
 

616-overhang-concentrated.jpg

 

Solution to Problem 610 | Double Integration Method

Problem 610
The simply supported beam shown in Fig. P-610 carries a uniform load of intensity wo symmetrically distributed over part of its length. Determine the maximum deflection δ and check your result by letting a = 0 and comparing with the answer to Problem 606.
 

Uniform Load Over Midspan Length

 

Solution to Problem 609 | Double Integration Method

Problem 609
As shown in Fig. P-609, a simply supported beam carries two symmetrically placed concentrated loads. Compute the maximum deflection δ.
 

Symetrically Placed Concentrated Loads

 

Solution to Problem 607 | Double Integration Method

Problem 607
Determine the maximum value of EIy for the cantilever beam loaded as shown in Fig. P-607. Take the origin at the wall.
 

Cantilever Beam with Point Load

 

Solution to Problem 606 | Double Integration Method

Problem 606
Determine the maximum deflection δ in a simply supported beam of length L carrying a uniformly distributed load of intensity wo applied over its entire length.
 

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