Answer number #2 A wooden log from a molave tree is to be used as a footbridge to span 3-m gap. The log is required tosupport a concentrated load of 9 kN at a point 1m from the left support. The diameter of the log is200mm, the unit weight is 940 kg/m³ and it is simply supported at both ends. Assume the log is verynearly circular.1. What is the maximum flexural stress of the footbridge? Is it safe?2. What is the maximum shearing stress the footbridge? Is it safe?3. What is the maximum deflection of the footbridge? If the allowable deflection is L/180, is thedesign of the footbridge satisfactory?SpeciesI. High Strength GroupAgohoLiusinMalabayabasManggachapuiMolaveNarigSasalitYakalTable TMBR-3: Properties of Philippine Woods at 80% GradeBending andCompressionModulus ofElasticity inParallel toTension Parallelto GrainBendingGrain1/2MPa26.3025.0028.1025.8024.0021.8031.3024.50GPa9.368.309.636.548.339.729.18Simply-supported beam deflection formulasBeam and load cases1/28.22Smax=8max =SmaxMPa14.5015.6015.8016.0015.4013.7021.6015.80=Maximum Beam DeflectionPL348EICompressionPerpendicularto GrainMPa5wL4384EI5.914.318.706.036.344.9110.206.27Pb(3L²-46²)48EIShear Parallelto GrainMPa2.952.643.022.782.882.613-382.49

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A wooden log from a molave tree is to be used as a footbridge to span 3-m gap. The log is required to support a concentrated load of 9 kN at a point 1m from the left support. The diameter of the log is 200mm, the unit weight is 940 kg/m³ and it is simply supported at both ends. Assume the log is very nearly circular. 1. What is the maximum flexural stress of the footbridge? Is it safe? 2. What is the maximum shearing stress the footbridge? Is it safe?

A wooden log from a molave tree is to be used as a footbridge to span 3-m gap. The log is required to support a concentrated load of 9 kN at a point 1m from the left support. The diameter of the log is 200mm, the unit weight is 940 kg/m³ and it is simply supported at both ends. Assume the log is very nearly circular. 1. What is the maximum flexural stress of the footbridge? Is it safe? 2. What is the maximum shearing stress the footbridge? Is it safe?

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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