EM 319 - 1st Quiz

# EM 319 - 1st Quiz - P(a If P = 20 kips determine the strain...

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Name: Session: 2 A bar AB is supported by a hinge at point A and connected to a cable at point B as shown below. A force P = 140 N is applied at point D that is 300 mm away from point A (see figure). Given that the cross sectional area for the bar AB is 20 mm 2 and that of the cable is 1 mm 2 . Please (a) determine the stress in the cable, and (b) if the change of length in the cable is 0.25 mm, find the strain of the cable. Solution: (a) FBD 0 = Σ A M 175 25 . 1 300 400 5 3 = = × = × P T P T (N) 175 10 175 10 1 175 6 6 = × = × = = A T σ (MPa) (b) 500 400 300 2 2 = + = BC L (mm) μ δ ε 500 0005 . 0 500 25 . 0 = = = = L 300 mm 300 mm P = 140 N A B C 100 mm D A x A y P T

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Name: Session: 2 A plastic bar having diameter d 1 = 3.50 in. is placed inside a steel tube having inner diameter d 2 = 3.51 in. (see figure). The plastic bar is then compressed by an axial force
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Unformatted text preview: P . (a) If P = 20 kips, determine the strain of the plastic bar. (b) At what value of the force P will the space between the plastic bar and the steel be closed? (For plastic, assume E = 400 ksi and ν = 0.4.) Solution: (a) μ π ε 5197 005197 . 5 . 3 4 10 400 10 20 2 3 3 − = − = × × × × − = = EA P (b) EA P ν − = − = ′ 5 . 3 51 . 3 5 . 3 5 . 3 4 10 400 4 . 2 3 1 1 1 − = × × × × × − = − = ′ = Δ P d EA P d d 3 10 5 . 27 × − = ⇒ P (lb) 5 . 27 − = (kips) d 1 d 2 Plastic bar Steel tube...
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EM 319 - 1st Quiz - P(a If P = 20 kips determine the strain...

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