Two solid bars support a load P as shown. Bar (1) has a cross-sectional area of A₁ = 3050 mm² and an allowable normal stress of 65 MPa. Bar (2) has a cross-sectional area of A₂ = 3000 mm² and an allowable normal stress of 65 MPa. Assume x₁ = 1.8 m, x2 = 2.7 m, y₁= 1.0 m, and y2 = 2.8 m. Determine the maximum load Pmax that can be supported by the structure without exceeding either allowable normal stress. Y₁ A (1) Answer: Pmax= i B P (2) kN

3. The shaft in the figure below consists of 75 mm diameter bronze segment that is rigidly joint to 50 diameter steel segment. The ends of the shaft are attached to rigid supports (fixed supports). Calculate the absolute maximum shear stress developed in each segment when the torque T = 5.1 kN-m is applied (a = 2 m and b = 1.5 m). Use G = 35 GPa for %3D %3D %3D bronze, and G = 75 GPa for steel. %3D 75 mm 50 mm A Bronze Steel C T a -

For the beam shown below, b = 5 in and h = 12 in.  If the beam is subjected to a transverse shear for of V = 8 kip, determine the largest shearing stress in the beam.  Express your answer in psi to the nearest whole psi

Problem 1. A material element in plane stress is subjected to stresses: Ox = -7000 psi Oy = -3000 psi = -4000 psi Txy а) Find the stresses ox,, Oy,, and Tx, y, on an element oriented at an angle 0 = 30° clockwise from the x axis and show these stresses and on a sketch of a properly oriented element. b) Find the principal stress angles, Op1, Op2, and the principal stresses, 01,02 c) Find the maximum shear stress angles, 051, es2, and the maximum shear stresses, +Tmax- d) Show the principal stresses and maximum shear stresses on a sketch of a properly oriented element

Consider a point in a structural member that is subjected to plane stress. Normal and shear stresses acting on horizontal and vertical planes at the point are shown. If o = 25 MPa in the direction shown, determine the principal stresses at the point. 28 MPa 16 MPa O 39.2 MPa and -30.2 MPa O 31.6 MPa and -35.8 MPa 54.1 MPa and -41.3 MPa 35.8 MPa and -27.4 MPa O 27.7 MPa and -39.0 MPa Save for Later eTextbook and Media Attempts: 1 of 3 used Submit Answer

Given the state of plane stress shown:1. Determine the principal stresses.2. Determine the orientation of the principal planes.3. Determine the in-plane shear stress.

(a) A steel structural member of length = 10 ft. is supported between two fixed supports so that it cannot expand.  At 68°F, there is no stress in the member.  (E = 30 x 106 psi and α = 6.5 x 10-6/°F)    Calculate the stress (psi) in the member at 95°F.   Stress (psi) =      (b) If the same structural member is not supported between two fixed supports, calculate the total elongation of the member (in.) for the same temperature change.        elongation (in.) =

What is the normal stress on the oblique plane due to the load P? 155 kip 7 in P = a = b = 4 in a = 37 degrees