Tapered beams are used in a variety of applications to save both weight and cost. Indeed, we see them in bridges, churches and tree branches. Despite their weight savings, the weight of the beam must be consider when designing the structure lest it will fail. Consider the illustrated tapered wood beam of length l = 7 m, thickness (into the screen) t = 10 cm, and big and small end heights hbig = 80 cm and hsmall = 40 cm. Knowing that the mass density of wood is p= 800 kg/m³, determine the resultant force FR in N and resultant moment MR in Nm about the base, i.e. big end, due to the weight of the beam. MATLAB input variables: format shortEng 1 = 7;%m t = 10/100;%m h_{big} = 80/100;%m h_{small} = 40/100;%m rho = 800; g=9.81;%m/s^2 FR= N MR = |)N m

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.7.2P: .2 A ligmio.irc ii supported by two vorlical beams consistins: of thin-walled, tapered circular...
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Tapered beams are used in a variety of applications to save both
weight and cost. Indeed, we see them in bridges, churches and tree
branches. Despite their weight savings, the weight of the beam must
be consider when designing the structure lest it will fail.
Consider the illustrated tapered wood beam of length l = 7 m,
thickness (into the screen) t = 10 cm, and big and small end
heights hbig
density of wood is p= 800 kg/m°, determine the resultant force FR in N and resultant moment MR in Nm
= 80 cm and hsmall = 40 cm. Knowing that the mass
about the base, i.e. big end, due to the weight of the beam.
MATLAB input variables:
format shortEng
1 = 7;%m
t = 10/100;%m
h_{big} = 80/100;%m
h_{small} = 40/100;%m
rho = 800;
g=9.81;%m/s^2
FR=
MR=
N m
Transcribed Image Text:Tapered beams are used in a variety of applications to save both weight and cost. Indeed, we see them in bridges, churches and tree branches. Despite their weight savings, the weight of the beam must be consider when designing the structure lest it will fail. Consider the illustrated tapered wood beam of length l = 7 m, thickness (into the screen) t = 10 cm, and big and small end heights hbig density of wood is p= 800 kg/m°, determine the resultant force FR in N and resultant moment MR in Nm = 80 cm and hsmall = 40 cm. Knowing that the mass about the base, i.e. big end, due to the weight of the beam. MATLAB input variables: format shortEng 1 = 7;%m t = 10/100;%m h_{big} = 80/100;%m h_{small} = 40/100;%m rho = 800; g=9.81;%m/s^2 FR= MR= N m
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