Question 1A composite beam ıs constructed from a wood beam (75mm wide, by 150 mmhıgh) and asteel plate 75 mm wide The wood and the steel aresecurely fastened to act as asingle beamCalculate the required thickness of the steel plate if the allowable compressıve stress ın11the wood is 14 MPa and allowable tensıle stress in the steel plateis 110 MPaGIven that the composite beam is subjected1 2to a positive bendıng moment M8.5 kN.m, calculate maximumbending stress in the woodAssume that Ew11 GPa and Eg= 200 GPa.

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Asked Aug 28, 2019
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Question 1
A composite beam ıs constructed from a wood beam (75
mm wide, by 150 mm
hıgh) and a
steel plate 75 mm wide The wood and the steel are
securely fastened to act as a
single beam
Calculate the required thickness of the steel plate if the allowable compressıve stress ın
11
the wood is 14 MPa and allowable tensıle stress in the steel plate
is 110 MPa
GIven that the composite beam is subjected
1 2
to a positive bendıng moment M
8.5 kN.m, calculate maximum
bending stress in the wood
Assume that Ew
11 GPa and Eg
= 200 GPa.
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Question 1 A composite beam ıs constructed from a wood beam (75 mm wide, by 150 mm hıgh) and a steel plate 75 mm wide The wood and the steel are securely fastened to act as a single beam Calculate the required thickness of the steel plate if the allowable compressıve stress ın 11 the wood is 14 MPa and allowable tensıle stress in the steel plate is 110 MPa GIven that the composite beam is subjected 1 2 to a positive bendıng moment M 8.5 kN.m, calculate maximum bending stress in the wood Assume that Ew 11 GPa and Eg = 200 GPa.

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Expert Answer

Step 1

Given:

 

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Wood:(75mmx150mm) Steel plate:(75mm) wod =14MPa mauipicze=110MPa ET= 11GPa Es 200GPa A 150 mm C 75 mm

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Step 2

Calculation:

 

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1 3. Es n= allowable stressin wood ET Mh W 200 I, NA 11 W NA M 18.18 and nM (0.15 th) 2. 0.075x0.15x0.75+1363.5x (t)(0.15 -+t INA 0.075x0.15 1.3636xt On substitutingthevalues 8.4375 x101.3636t(0.15 t) 18.18x14x10 xIv(0.15+t-h) 110 x106 NA 0.075x0.15 1.3636t 8.4375 x 101.3636t(0.15+t NA 0.075 x 0.15 1.3636t 254.52x14x10° x Iy (0.15+t- h) 8.4375x 101.3636t(0.15+t) 110x106 NA 0.075x 0.15 1.3636t On solving on Wolfram alpha t 10mm

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Step 3

The thickness of steel...

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