exam1 - Member CB has a square cross-section of 35 mm on...

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ME 246 In-term exam 1, 5.10.2009, 110 minutes Notes: a) Draw figures (free-body diagrams and other helpful diagrams) as necessary and indicate quantities clearly. b) Show your axes . c) Indicate units . d) Write neatly. Make sure what you write is readable . ------------------------------------------------------------------------------------------------------------------------------------------ 1) (14 pts.) Define the following ( verbally ): a) St. Venant’s Principle, b) normal strain, c) shear strain d) ductility, e) modulus of toughness, and f) isotropic material. 2) The man shown in the figure has a mass of 75 kg; the uniform beam has a mass of 40 kg. The beam is in equilibrium with the man standing at the end and pulling on the cable. Determine the internal force on a croos- section midway between a) A and B. b) B and C. 3) (20 pts.) The two-member frame on the left is subjected to the distributed loading shown. Determine the average normal stress and average shear stress acting at sections a-a and b-b.
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Unformatted text preview: Member CB has a square cross-section of 35 mm on each side. w=8 kN/m. 4) (20 pts.) The plastic block of size 50x80x120 on the right is bonded to a rigid support and to a vertical plate to which a 240-kN load P is applied. Knowing that G=1050 MPa for the plastic, determine the vertical deflection of the plate. 5) (20 pts.) The yoke-and-rod connection on the left is subjected to a tensile force of 5 kN. Determine the average normal stress in each rod and the avergae shear stress in the pin A between the members. 6) (20 pts.) The stress-strain diagram for a collagen fiber bundle from which a human tendon is composed is given on the right. If a segment of the Achilles tendon at A has a length of 6.5 in. and an approximate cross-sectional area of 0.229 in 2 , determine the tendon’s elongation if the foot supports a load of 125 lb, which causes a tension in the tendon of 343.75 lb. Reminder: lb is a force unit....
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