Determine the force in each member of the truss shown in...

Determine the force in each member of the truss shown in Fig. 6-8a and indicate whether the members are in tension or compression. Given that the horizontal component of reaction force at C is equal to zero. 2 m B 500 N 45° A C 2 m

Transcript

00:01 Question we need to find a force of each member of each member so we want to determine the force of the each member of the truss a member of the truss so we want to find the force i indicate the member of the member are in a tension so here you can write the horizontal component of the reaction force horizontal component of the reaction force at c and which is equal to here horizontal component of the reaction force here.

00:40 We talk about reaction force at c and c which is equal to 0 this force we can see it which is equal to 0 so let's find out the each force the first we understand that using the free body diagram, so we know that diagram here, this is all we can say c here force is 500 newton angle is here is 45 degree here.

01:05 We have b and here is a using this we know that for a horizontal we can write bc cos 45 degree plus we can write 500 which is equal to 0 now we just simplify and we can write so we can measure 0 .7 7 -7 multiply we can write bc plus which is equal to minus 500 now we again we simplify and we can write bc which is equal to minus 707 point 213 newton is our correct answer now for the vertical this is our horizontally horizontal now for the vertical we can say the ab plus we can write bc multiply we can write sine of 45 degree which is equal to 0 and here let's substitute value so we can write ab minus we can write 707 point 213 multiply we can write sine of 45 degree which is equal to 0 now we again simplify and we can write so the ab which is equal answer is 500 newton during the free body free body diagram so here during the free body diagram, we can write drawing the free body diagram so here is b here.

02:26 We have c here.

02:28 We have reaction force we can say ra and here we have a so we can write ra plus ab which is equal to 0 the substitute value? so the ra plus ab ab value is 500 which is equal to 0 so the reaction force we can say reaction at a which is equal to answer is minus 500 newton for the horizontal we can write ha which is equal to here is also 500 newton so we can write summation of fx which is equal to 0 so we can write ha which is equal to we can write rac so again, we simplify and we can write rac which is equal answer is 500 the correct answer this is the answer of our you can say tension now let's join the free body diagram showing at point c here we talk about free body diagram and we can write at c here so here we have the at b here we have rc the reaction force at c here here is a and and the angle is 45 degree so we talk about vertical solving vertically we can write rc plus we can write bc multiplied we can write sine of 45 degree which is equal to 0 and now we just simplify and we can write so the rc which is equal to here...

Question

Determine the force in each member of the truss shown in Fig. 6-8a and indicate whether the members are in tension or compression. Given that the horizontal component of reaction force at C is equal to zero. 2 m B 500 N 45° A C 2 m

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