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Homework Statement
refer to the circled part , i dont understand the author's working .
Homework Equations
The Attempt at a Solution
I think it should be 450x - 150(4-x) -30092)(x-1) , correct me if i'm wrong . (taking moment about x ) ....
No, the author is not wrong.is the author wrong , coz the distributed load start from R1 to 2m from R1 ...
why ? i still dont understand , i can only understand the 450x , why should be -0.5(300)(x^2) +0.5(300)[(x-2)^2 ]No, the author is not wrong.
The bending moment function EIy" is carefully constructed to show that the distributed load starts at x = 0 and runs to x = 2, after which an equal and opposite distributed load is applied to the beam at x > 2, so that the net distributed load is zero.
why shouldnt it be 450x - 150(4-x) -300(0.5)(2)(x-1) ??No, the author is not wrong.
The bending moment function EIy" is carefully constructed to show that the distributed load starts at x = 0 and runs to x = 2, after which an equal and opposite distributed load is applied to the beam at x > 2, so that the net distributed load is zero.
I'm not going to speculate on that.why shouldnt it be 450x - 150(4-x) -300(0.5)(2)(x-1) ??
i dont understand why it is -0.5(300)(x^2) +0.5(300)[(x-2)^2 ] , can you explain ?I'm not going to speculate on that.
Look, the author has a method of analysis of this beam which he is trying to teach. If you want to develop your own methods, write your own textbook.
why it's 0.5(300)(x^2) ? the 300N/m only 'defined ' from R1 to 2m from R1, am i right ? why shouldnt it be 0.5(300)(2)(x-2) instead? as you said , after 2m , net distributed load is zeroNo, the author is not wrong.
The bending moment function EIy" is carefully constructed to show that the distributed load starts at x = 0 and runs to x = 2, after which an equal and opposite distributed load is applied to the beam at x > 2, so that the net distributed load is zero.
the location of 300n/m is at R1 and extend to 2m from R1, so ,the EIy" should be = 450x-300(2)(x-1) ???I'm not going to speculate on that.
Look, the author has a method of analysis of this beam which he is trying to teach. If you want to develop your own methods, write your own textbook.