exam2 - indeterminate Explain why(1–2 sentences(5 pts A B...

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TAM 150/152, Fall 2003, Hour Exam 2 Prof. Haber Name: SOLUTION KEY Circle one: 150 or 152 Disc. Section: (OVER) Note: Show all free body diagrams to support your solutions. Show all of your work on this sheet. (1) A B D E C P 2q q L L L y x 1 1 A rectangular plate carries a concentrated force at E and a distributed load (dimension of the load intensity q is F/L ). All supports and all connections are frictionless pins. Neglect the weights of the plate and bar BC. (a) Find the resultant of the loads at A. (15 pts.) (b) Find the vertical reaction at D. (15 pts.) (c) Find the internal force in bar BC. (15 pts.) (d) Is this support condition statically determinate or
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Unformatted text preview: indeterminate? Explain why (1–2 sentences). (5 pts.) A B D E P L y x 1 1 F BC qL 2qL L L L/3 D y D x (a) F i j C k k r = --=--( 29 =-( 29 P qL PL qL qL PL qL 3 2 3 2 8 3 2 2 2 / / (b) M PL qL D L D P qL B y y = + + = ⇒ = -+ ( 29 ∑ 2 3 3 / / (c) F qL P qL F F qL P qL P y BC BC = --+ ( 29-= ⇒ = -+ = + ∑ 3 3 1 2 2 10 3 2 10 3 / compression (d) The structure is statically determinate . Bar BC is a 2-force member, so the reaction at C must be co-linear with bar BC. Thus, there are a total of 3 unknown reactions for 3 equations of equilibrium....
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