A wooden log is to be used as a footbridge to span 3.50-m gap. The log is required to support a concentrated load of 30 kN at midspan and a uniformly distributed load of 20 kN/m throughout the span. If the allowable stress in shear is 0.7 MPa. 1. What is the diameter of the log that would be needed? Assume the log is very nearly circular and the bending stresses are adequately met. Neglect the weight of the log. 2. If the log is to be trimmed to have a square cross section, what shall be the resulting dimensions (Round off to the nearest whole number). 3. Compute for the maximum flexural stress of the beam loading.

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter9: Deflections Of Beams
Section: Chapter Questions
Problem 9.10.2P: An object of weight Wis dropped onto the midpoint of a simple beam AB from a height h (see figure)....
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A wooden log is to be used as a footbridge to span 3.50-m gap. The log is
required to support a concentrated load of 30 kN at midspan and a uniformly
distributed load of 20 kN/m throughout the span. If the allowable stress in
shear is 0.7 MPa.
1. What is the diameter of the log that would be needed? Assume the log
is very nearly circular and the bending stresses are adequately met.
Neglect the weight of the log.
2. If the log is to be trimmed to have a square cross section, what
shall be the resulting dimensions (Round off to the nearest whole
number).
3. Compute for the maximum flexural stress of the beam loading.
Transcribed Image Text:A wooden log is to be used as a footbridge to span 3.50-m gap. The log is required to support a concentrated load of 30 kN at midspan and a uniformly distributed load of 20 kN/m throughout the span. If the allowable stress in shear is 0.7 MPa. 1. What is the diameter of the log that would be needed? Assume the log is very nearly circular and the bending stresses are adequately met. Neglect the weight of the log. 2. If the log is to be trimmed to have a square cross section, what shall be the resulting dimensions (Round off to the nearest whole number). 3. Compute for the maximum flexural stress of the beam loading.
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