The state of in-plane stress at a point on an element of material is shown. Let |σx| = 370 MPa, |σy| = 130 MPa, and |τxy| = 85.0 MPa. Use this information to represent the state of stress of the same point that is rotated through an angle of θ = 25.0.

Question 3: The state of stress at a point in an elastic body is defined by the stress components, O11 = 2000; O22 = -2000; o12 = 1000; G23 = -400; 013 = 033 = 0. A plane that passes through the point has unit normal vector (1/5, 3/5, 3/V5) in relation to the x, y, z axes. (A) Find the stress vector components of the X, y, z axes acting on the plane. (B) Find the magnitude stress vector components of the x, y, z axes acting on the plane. (C) Find the magnitude of the normal stress acting on the plane. (D) Find the magnitude shear stress acting on the plane. (E) Construct the 3D Mohr's circle. (You can use the graphical paper to construct the circle and then take photo or by scanner to attach it with your answer). (F) Based on the Mohr's circle, determine the principal stresses and the maximum shear stress.

An 6 mm diameter aluminum rod has lines scribed on it that are exactly 10 cm apart. After a 2.08 kN force has been applied, the separation between the lines has increased to l' = 10.009 cm. 30 cm 10 cm -F l' a. Calculate the stress and strain in the rod. (Express your answer for stress using two significant figures.) |MPa (Express your answer for strain using four decimal spaces.) E = b. To what total length has the rod stretched? (Express your answer using three decimal places.) L final cm

Consider the frame in (Figure 1). The crate weighs 400 lb. Follow the sign convention. Figure 4 ft A B 1.5 ft 1.5 ft 1.5 ft 1.5 ft F /C . E 0 D 0.4 ft < 1 of 1 ▼ Part D Determine the normal force at point E. Express your answer in pounds to three significant figures. NE = Submit Part E VE = Submit Determine the shear force at point E. Express your answer in pounds to three significant figures. Part F [5] 195| ΑΣΦ | 11 | vec 4 Request Answer ME = Π| ΑΣΦ I Request Answer vec Determine the moment at point E. Express your answer in pound-feet to three significant figures. [V=| ΑΣΦ www. vec ? ? ? lb lb lb-ft