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Problem 1: Consider the figure below. A block of weight "W? slides on a horizontal surface with a
coefficient of Coulomb friction =f". It is attached on its left face to a vertical surface by an ideal
spring having constant "K" and an ideal dashpot having constant "p". A horizontal for... 

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A region on the surface of a body including a Point P is subjected to a pressure of 200 psi. At Point P
the surface normal is given by 27+10 7+11k Calculations show that the stress state at Point P is given by
20 000 3000 - 6400 Op = 3000 -3000 2000 psi 6400 2000 - 854. 546 Could this calcul... 

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Problem 3 Calculate the nine 3D strain values and the six 30 rigid-body rotation values given the
displacements below Ux = CxX2 z Uy = Cy xy Uz = Cz Z2 - y

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Problem 4 (a) Does the matrix given below represent a valid strain tensor? Show mathematically why or
why not. 02y 0 0 0 =02x%0 0 0o 0 (b) Regardless of your answer to part (a), illustrate the
displacement field U and U}r by showing a deformed and undeformed square mesh as don... 

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Problem 5: Beginning with the 3D Navier Equation, (1+() Vdivu+p Vu+p =0, show that the correct
simplified form for Plane Stress

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Problem 5: Beginning with the 3D Navier Equation, (A+ y) Vdivu+p V2 u+p = 0, show that the correct
simplified form for Plane Stress conditions is given by

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E BU + UV' Ux +Px= 0 2(1-v) ax ax ay E + UV- up +Py= 0 2(1-v) ay ax ay where V2 = [10 pts] ax* ay