Uniform 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 860 | Deflection by Three-Moment Equation

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.
 

860-overhang-beam-given.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

Problem 823 | Continuous Beam by Three-Moment Equation

Problem 823
A continuous beam simply supported over three 10-ft spans carries a concentrated load of 400 lb at the center of the first span, a concentrated load of 640 lb at the center of the third span and a uniformly distributed load of 80 lb/ft over the middle span. Solve for the moment over the supports and check your answers using the results obtained for Problems 819 and 822.
 

823-continuous-beam.gif

 

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 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 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 1007 | Flexural stresses developed in the wood and steel fibers

Problem 1007
A uniformly distributed load of 300 lb/ft (including the weight of the beam) is simply supported on a 20-ft span. The cross section of the beam is described in Problem 1005. If n = 20, determine the maximum stresses produced in the wood and the steel.
 

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

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