midspan deflection

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.
 

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.
 

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.
 

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.)
 

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.)
 

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.)
 

Problem 613
If E = 29 × 10⁶ psi, what value of I is required to limit the midspan deflection to 1/360 of the span for the beam in Fig. P-613?
 

Problem 612
Compute the midspan value of EI δ for the beam loaded as shown in Fig. P-612.
 

Problem 611
Compute the value of EI δ at midspan for the beam loaded as shown in Fig. P-611. If E = 10 GPa, what value of I is required to limit the midspan deflection to 1/360 of the span?
 

Problem 610
The simply supported beam shown in Fig. P-610 carries a uniform load of intensity w_o 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.