three-moment equation

Problem 871
The continuous beam in Figure P-871 is supported at its left end by a spring whose constant is 300 lb/in. For the beam, E = 1.5 × 10⁶ psi and I = 115.2 in.⁴. Compute the load on the spring and its deflection.
 

Problem 867
For the beam in Figure P-867, compute the value of P that will cause a zero deflection under P.
 

Problem 860
Determine the value of EIδ at the end of the overhang and midway between the supports for the beam shown in Fig. P-860.
 

Problem 859
Determine the value of EIδ under P in Fig. P-859. What is the result if P is replaced by a clockwise couple M?
 

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.
 

Problem 848
Determine the support moments and reactions for the beam shown in Fig. P-848.