simple beam

Solution to Problem 664 | Deflections in Simply Supported Beams

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.)
 

Simple beam with different moment of inertia over the span

 

Solution to Problem 663 | Deflections in Simply Supported Beams

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.
 

Uniform Load Over Middle Part of Simple Beam

 

Solution to Problem 662 | Deflections in Simply Supported Beams

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. Also, use your result to check the answer to Prob. 653.
 

Simple beam with symmetrically placed uniform load

 

Solution to Problem 661 | Deflections in Simply Supported Beams

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.
 

Symmetrically Placed Point Loads over a Simple Beam

 

Solution to Problem 660 | Deflections in Simply Supported Beams

Problem 660
A simply supported beam is loaded by a couple M at its right end, as shown in Fig. P-660. Show that the maximum deflection occurs at x = 0.577L.
 

Moment load at hinged end of simple beam

 

Solution to Problem 659 | Deflections in Simply Supported Beams

Problem 659
A simple beam supports a concentrated load placed anywhere on the span, as shown in Fig. P-659. Measuring x from A, show that the maximum deflection occurs at x = √[(L2 - b2)/3].
 

Simple Beam with Load P at any Point

 

Solution to Problem 658 | Deflections in Simply Supported Beams

Problem 658
For the beam shown in Fig. P-658, find the value of EIδ at the point of application of the couple.
 

Simple beam loaded with counterclockwise moment

 

Solution to Problem 657 | Deflections in Simply Supported Beams

Problem 657
Determine the midspan value of EIδ for the beam shown in Fig. P-657.
 

Simple beam under Uniformly Dereasing Load

 

Solution to Problem 656 | Deflections in Simply Supported Beams

Problem 656
Find the value of EIδ at the point of application of the 200 N·m couple in Fig. P-656.
 

Simple beam with concentrated and moment loads

 

Solution to Problem 655 | Deflections in Simply Supported Beams

Problem 655
Find the value of EIδ under each concentrated load of the beam shown in Fig. P-655.
 

Simple Beam with Two Concentrated Loads

 

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