The rectangular plate shown weighs 93 lb and is held in the position shown by hinges atA and B and by cable EF. Assuming that the hinge at B does not exert any axial thrust andno couples exerted on both A and B, determine (a) the tension in the cable, (b) thereactions at A and B.ZD12 in.30 in.H4 in.AE8 in.BF4 in. 25 in.20 in.x • FBD analysis1. There are in total• Presenting all forces and couples using components:1. Reacions on A: A =2. Reactions on B: B =3. Tension in cable EF:o EF =i+• TEF=TEFI +4. Self weight of the plate W =1. TAA =2. [AB =3. TAE =4. TAW =i+1. MAA=2. MAB=3. ME=4. MAG=+1+i+• Determination of arms for all forces, taking point A as rotating point:i+supports on the system, by assuming no couples on A and B, no axial trust on B, the reactions/forces on the FB are:j+j++!i+i+| +i+j+TEFI +k (in);k (in);♦ j+k;• Determination of moments about A for each force:• Equilibrium Equations:1. ΣΜΑ = 0:o Coefficient of i simplified to:o Coefficient of j simplified to:k (in);k (in);k (lb-in);o Coefficient of k simplified to:2. [F = 0:o Coefficient of i simplified to:o Coefficient of j simplified to:o Coefficient of k simplified to:TEFJ+◆lbTEFI +k (lb-in);◆k (lb);◆ k (lb);TEF +TEF+TEF+TEF+TEF +TEF+TEF K;◆ k (lb-in);TEFK (Ib-in);◆= 0, hence TEF=By +Bz = 0, hence Bz== 0, hence Ax =+◆ += 0, hence By =lb;+ +lb;= 0, hence Az =lb;lb;= 0, hence Ay =lb.lb;

Given: To find: Tension in cable EF Reactions at A and B

The rectangular plate shown weighs 93 lb and is held in the position shown by hinges at A and B and by cable EF. Assuming that the hinge at B does not exert any axial thrust and no couples exerted on both A and B, determine (a) the tension in the cable, (b) the reactions at A and B.

The rectangular plate shown weighs 93 lb and is held in the position shown by hinges at A and B and by cable EF. Assuming that the hinge at B does not exert any axial thrust and no couples exerted on both A and B, determine (a) the tension in the cable, (b) the reactions at A and B.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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