The strain components ɛx, ɛy, and yxy are given for a point in a body subjected to plane strain. Using Mohr's circle, determine the principal strains, the maximum in-plane shear strain, and the absolute maximum shear strain at the point. Show the angle 0,p, the principal strain deformations, and the maximum in-plane shear strain distortion in a sketch. Ex = 0 µɛ, ɛy = 430 µɛ, Yxy = 230 µrad. Enter the angle such that -45°< 0,s+45°. Answer: Ep1 = Ep2 = Ymax in-plane = prad Yabsolute max. = prad Op =

Problem A person is doing leg exercises where a 100N weight linked via a pulley is attached to their heel. Based on a simplified system in which the quadricep muscles are the only active muscle group and can be modeled as a single muscle tension, what is the muscle tension and joint reaction force at the knee necessary to maintain this position. You can assume the quadriceps is attached to the tibia 5 cm below the knee, making a 15° angle with the horizontal. The weight of the leg is 120 N and the center of gravity is 0.35 m from the knee joint, and the length of the leg is 0.8 m. Make sure to draw a FBD of the lower leg. 100N Fm

Q3 coordinates is given by: The 3-dimensional state of strain at a material point in x, y, z xx [ε] = &₁ Ex Exy Evy zy E XZ E 0 0 0 = 0 -1 -3 *10* 0 -3 5 (a) Calculate the characteristic equation and determine the principal strains for the three-dimensional state of strain (b) Calculate the volumetric strain and the deviatoric strain invariants

2