Question 6 Each member of the truss shown is made of steel;...

Question 6 Each member of the truss shown is made of steel; the cross-sectional area of the member BC is 800 mm² and for all other members the cross- sectional area is 400 mm². Use the work energy method to determine the deflection of point D caused by the 60 kN load shown. E = 200 GPa

Transcript

00:01 Here is a solution for the problem.

00:03 Here is a solution for the problem.

00:07 Here are given.

00:09 What is given? here is a cross -sectional cross -sectional area of member bc is 800 m m square and here and other and other all cross -sectional cross -sectional area is 400 mm square and here this will be like here here this will be like here here this will be like here this will be like here it's a 60 kilo newton here it's a b here it's a d here it's a c and here the distance from these two this will be 1 .2 meter and here the distance from this is like 1 .2 meter and here the distance from 0 .5 meter and here this distance is 1 .3 meters take this position as a a and here it's a 1 .2 meter here p is given as 60 kilo newton a a is given as a 200 gp and here taking the movement a at 0 m a at 0 we can write this actually we can write this as d -y 1 .2 press 1 .0 minus 60 0 .5 is equal to 0 and here dy is equal to 12 .5 kilo newton and here summation of fx plus surfer of a fx is equal to zero here 60 minus f bd minus f cd cost 22 .62 will be zero and here this will be like here this will be like here f bd fd plus f cd cost 22 .62 will be to 60 here taking this education one here the summation of fy is equal to 0 is equal to and 12 .5 minus of f cd sign 22 .62 22 .62 is equal to 0 and here f cd we can write this here f cd we can write this as a 12 .5 divide by sign of 22 .62 and here f cd will be 32 .5 kilo newton and here f cd will be 32 .5 kro newton and here if we can write this as fvd fvd plus 32 .5 cost 22 .62 is equal to 60 and here fbd will be equal to 60 minus 30 that will be like 30 kilo newton and here the summation of f x is equal to zero and we can write this as fbd fbt minus fba sine 67 .38 is equal to zero and here fba and here fba will be equal to 30 divided by sign 67 .3a...

Question

Question 6 Each member of the truss shown is made of steel; the cross-sectional area of the member BC is 800 mm² and for all other members the cross- sectional area is 400 mm². Use the work energy method to determine the deflection of point D caused by the 60 kN load shown. E = 200 GPa

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