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mathematics mechanics2, Cheat Sheet of Mathematics

Mathematics

mathematics assignments solutions

Typology: Cheat Sheet

2020/2021

Uploaded on 05/20/2021

bryan-cruz1
bryan-cruz1 🇨🇦

4 documents

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Question Solution

aa] a . %. + SAE i Solution Calculate the distance moved by the left end (D) of the bar due to the movement of right end (B) by 0.002 in. Consider the following diagram, Calculate DD" from similar triangles, DD'_ BB ca” & DD' BB" CD CB DD' 0.002 12525 _ 0.002125 35 =0.0lin DD' But the initial gap between D andJ is 0.004 in. so the bar should shorten the remaining amount. Required deformation in bar A is. ol, =0.0lin.—0.004in. =0.006in. Force required to deform, a, =! AE ol ,)AE FP, 2s ( a) . (0.006) ( 1.25) (30000) = a =9.375kips 125in & 25in i - | 9.375kips F Take moment about C (9.375)(125)=(25) F=46.875kips