three-moment equation factors

Problem 822 | Continuous Beam by Three-Moment Equation

Problem 822
Solve Prob. 821 if the concentrated load is replaced by a uniformly distributed load of intensity wo over the middle span.
 

822-beta-alpha-span-uniform-load.gif

 

Answers:
$M_2 = -\dfrac{w_o L^2}{4} \cdot \dfrac{1 + 2\beta}{4(\alpha + 1)(1 + \beta) - 1}$

$M_3 = -\dfrac{w_o L^2}{4} \cdot \dfrac{1 + 2\alpha}{4(1 + \alpha)(1 + \beta) - 1}$
 

Problem 821 | Continuous Beam by Three-Moment Equation

Problem 821
See Fig. P-821.
 

821-alpha-beta-continuous-beam.gif

 

$M_2 = -\dfrac{3PL}{8} \cdot \dfrac{1 + 2\beta}{4(1 + \alpha)(1 + \beta) - 1}$           answer

$M_3 = -\dfrac{3PL}{8} \cdot \dfrac{1 + 2\alpha}{4(1 + \alpha)(1 + \beta) - 1}$           answer
 

Problem 820 | Continuous Beam by Three-Moment Equation

Problem 820
Solve Prob. 819 if the concentrated load is replaced by a uniformly distributed load of intensity wo over the first span.
 

820-continuous-beam-uniform-load.gif

 

Problem 819 | Continuous Beam by Three-Moment Equation

Problem 819
Find the moment under the supports R2 and R3 for the beam shown in Fig. P-819.
 

819-length-of-spans-continuous-beams.gif

 

Problem 818 | Continuous Beam by Three-Moment Equation

Problem 818
In Problem 817, determine the changed value of the applied couple that will cause M2 to become zero.
 

818-continuous-beam.gif

 

Problem 817 | Continuous Beam by Three-Moment Equation

Problem 817
Find the moment under the support R2 of the continuous beam shown in Fig. P-817.
 

817-continuous-beam-with-moment-and-triangular-loads.gif

 

Problem 816 | Continuous Beam by Three-Moment Equation

Problem 816
Determine the lengths of the overhangs in Fig. P-816 so that the moments over the supports will be equal
 

816-equal-moments-over-supports.gif

 

Problem 815 | Continuous Beam by Three-Moment Equation

Problem 815
Find the moment at R2 and R3 of the continuous beam shown in Fig. P-815.
 

815-continuous-beam-triangular-concentrated-loads.gif

 

Problem 814 | Continuous Beam by Three-Moment Equation

Problem 814
Find the moment at R2 of the continuous beam shown in Fig. P-814.
 

814-continuous-beam-triangular-load.gif

Problem 813 | Continuous Beam by Three-Moment Equation

Problem 813
Determine the moment over the support R2 of the beam shown in Fig. P-813.
 

813-continuous-beam-three-supports.gif

Pages

 
 
Subscribe to RSS - three-moment equation factors