Symmetrical Load

Solution to Problem 691 | Beam Deflection by Method of Superposition

Problem 691
Determine the midspan deflection for the beam shown in Fig. P-691. (Hint: Apply Case No. 7 and integrate.)
 

Solution to Problem 674 | Midspan Deflection

Problem 674
Find the deflection midway between the supports for the overhanging beam shown in Fig. P-674.
 

Overhang beam with point load at the free end

 

Solution to Problem 673 | Midspan Deflection

Problem 673
For the beam shown in Fig. P-673, show that the midspan deflection is δ = (Pb/48EI) (3L2 - 4b2).
 

Simple beam with concentrated load

 

Midspan Deflection | Deflections in Simply Supported Beams

In simply supported beams, the tangent drawn to the elastic curve at the point of maximum deflection is horizontal and parallel to the unloaded beam. It simply means that the deviation from unsettling supports to the horizontal tangent is equal to the maximum deflection. If the simple beam is symmetrically loaded, the maximum deflection will occur at the midspan.
 

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 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 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 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

 

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