Problem 856
For the beam shown in Fig. P-856, determine the moments over the supports. Also draw the shear diagram and compute the maximum positive bending moment.
Problem 855
If the distributed load in Prob. 854 is replaced by a concentrated load P at midspan, determine the moments over the supports.
Answers:
$M_1 = \dfrac{PL}{8} \cdot \dfrac{1}{\alpha + 2} = M_4$
$M_2 = -\dfrac{PL}{8} \cdot \dfrac{2}{\alpha + 2} = M_3$
Problem 854
Solve for the moment over the supports in the beam loaded as shown in Fig. P-854.
Answers:
$M_1 = \dfrac{w_o L^2}{12} \cdot \dfrac{1}{\alpha + 2} = M_4$
$M_2 = -\dfrac{w_o L^2}{12} \cdot \dfrac{2}{\alpha + 2} = M_3$
Problem 853
For the continuous beam shown in Fig. P-853, determine the moment over the supports. Also draw the shear diagram and compute the maximum positive bending moment. (Hint: Take advantage of symmetry.)
Problem 852
Find the moments over the supports for the continuous beam in Figure P-852. Use the results of Problems 850 and 851.
Answers
$M_1 = -146.43 ~ \text{N}\cdot\text{m}$
$M_2 = -307.14 ~ \text{N}\cdot\text{m}$
$M_3 = -521.43 ~ \text{N}\cdot\text{m}$
Problem 851
Replace the distributed load in Problem 850 by a concentrated load P at the midspan and solve for the moment over the supports.
Problem 850
Determine the moment over the supports for the beam loaded as shown in Fig. P-850.
