The maximum load that a horizontal beam can safely support varies jointly as the width of the beam and the square of its depth and inversely as the length of the beam. Determine how each change affects the beam's maximum load. (Write your answers in terms of  M0,  the original maximum load.) (a) tripling the width The maximum safe load is now       M0. (b) tripling the depth The maximum safe load is now       M0. (c) halving the length The maximum safe load is now       M0. (d) halving the width and doubling the length The maximum safe load is now       M0.

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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The maximum load that a horizontal beam can safely support varies jointly as the width of the beam and the square of its depth and inversely as the length of the beam. Determine how each change affects the beam's maximum load. (Write your answers in terms of 

M0,

 the original maximum load.)

(a) tripling the width
The maximum safe load is now 
 
  
 
M0.

(b) tripling the depth
The maximum safe load is now 
 
  
 
M0.

(c) halving the length
The maximum safe load is now 
 
  
 
M0.

(d) halving the width and doubling the length
The maximum safe load is now 
 
  
 
M0.
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