Blog Posts on midspan deflection




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Solution to Problem 653 | Deflections in Simply Supported Beams by on Mar 16, 2010Problem 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 mid...



Solution to Problem 620 | Double Integration Method by on Sep 26, 2009Problem 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.)     Solutio...



Solution to Problem 621 | Double Integration Method by on Sep 26, 2009Problem 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.)     Solution 621 By symmetry R...



Solution to Problem 620 | Double Integration Method by on Sep 26, 2009Problem 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.)     Solutio...



Solution to Problem 621 | Double Integration Method by on Sep 26, 2009Problem 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.)     Solution 621 By symmetry R...



Solution to Problem 613 | Double Integration Method by on Sep 18, 2009Problem 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?     Solution 613 \Sigma M_{R2} = 0 12R_1 = 2400(6)(5) R_1 = 6000 \, \text{lb} \Sigma M_{R...



Solution to Problem 611 | Double Integration Method by on Aug 31, 2009Problem 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?     Solution 611 \Sigma M_{R2} = 0 4R_1 = 3...



Solution to Problem 612 | Double Integration Method by on Aug 31, 2009Problem 612 Compute the midspan value of EI δ for the beam loaded as shown in Fig. P-612.     Solution 612 \Sigma M_{R2} = 0 6R_1 = 600(3)(3.5) R_1 = 1050 \, \text{N}   \Sigma M_{R1} = 0 6R_2 = 600(3)(2.5) R_2 = 750 \, \text{N}...



Solution to Problem 610 | Double Integration Method by on Aug 24, 2009Problem 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...