concentrated load

Reactions of Tripod Made from Wood Planks

Situation
In the figure shown, each plank carries a uniform load of 100 N/m throughout its length. The supports are on the same plane.
 

eq-parallel-forces-tripod.gif
  1. Find the reaction at A.
    A. 900 N
    B. 800 N
    C. 1400 N
    D. 2400 N
     
  2. Find the reaction at B.
    A. 900 N
    B. 800 N
    C. 1400 N
    D. 2400 N
     
  3. Find the reaction at C.
    A. 900 N
    B. 800 N
    C. 1400 N
    D. 2400 N
     

Problem 855 | Continuous Beams with Fixed Ends

Problem 855
If the distributed load in Prob. 854 is replaced by a concentrated load P at midspan, determine the moments over the supports.
 

855-i-span.gif

 

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 853 | Continuous Beams with Fixed Ends

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.)
 

853-shear-diagram.gif

 

Problem 852 | Continuous Beams with Fixed Ends

Problem 852
Find the moments over the supports for the continuous beam in Figure P-852. Use the results of Problems 850 and 851.
 

852-fixed-ended-continuous-beam.gif

 

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 | Continuous Beams with Fixed Ends

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.
 

851-imaginary.gif

 

Problem 847 | Continuous Beams with Fixed Ends

Problem 847
Compute the moments over the supports and sketch the shear diagram for the continuous beam shown in Fig. P-847.
 

847-shear-diagram.gif

 

Problem 845 | Continuous Beams with Fixed Ends

Problem 845
Compute the moments over the supports for the beam shown in Fig. P-845 and then draw the shear diagram.
 

845-shear-diagram-imaginary-span.gif

 

Problem 844 | Continuous Beams with Fixed Ends

Problem 844
In the propped beam shown in Fig. P-844, determine the prop reaction.
 

844-overhanging-propped-beam.gif

 

Problem 833 | Reactions of Continuous Beams

Problem 833
Refer to Problem 825 for which M2 = -980 lb·ft and M3 = -1082 lb·ft.
 

833-shear-diagram.gif

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