elastic curve

Solution to Problem 667 | Deflections in Simply Supported Beams

667 Overhang beam with triangular and point loads

Problem 667

Determine the value of EIδ at the right end of the overhanging beam shown in Fig. P-667. Is the deflection up or down?

 

Solution to Problem 665 | Deflections in Simply Supported Beams

664 - 665 Simple beam with different moment of inertia over the span

Problem 665

Replace the concentrated load in Prob. 664 by a uniformly distributed load of intensity wo acting over the middle half of the beam. Find the maximum deflection.

 

Solution to Problem 664 | Deflections in Simply Supported Beams

664 - 665 Simple beam with different moment of inertia over the span

Problem 664

The middle half of the beam shown in Fig. P-664 has a moment of inertia 1.5 times that of the rest of the beam. Find the midspan deflection. (Hint: Convert the M diagram into an M/EI diagram.)

 

Solution to Problem 663 | Deflections in Simply Supported Beams

663 Uniform Load Over Middle Part of Simple Beam

Problem 663

Determine the maximum deflection of the beam carrying a uniformly distributed load over the middle portion, as shown in Fig. P-663. Check your answer by letting 2b = L.

 

Solution to Problem 662 | Deflections in Simply Supported Beams

662 Simple beam with symmetrically placed uniform load

 

Problem 662

 

Determine the maximum deflection of the beam shown in Fig. P-662. Check your result by letting a = L/2 and comparing with case 8 in Table 6-2 (link not active for the moment). Also, use your result to check the answer to Prob. 653.

 

 

Solution to Problem 661 | Deflections in Simply Supported Beams

661 Symmetrically Placed Point Loads over a Simple Beam

Problem 661

Compute the midspan deflection of the symmetrically loaded beam shown in Fig. P-661. Check your answer by letting a = L/2 and comparing with the answer to Problem 609.

 

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