3- A steel pipe of 300-mm outer diameter is fabricated from an 8-mm-thick plate by welding along a helix that forms an angle of 20° with a plane perpendicular to the axis of the pipe. Knowing that a 250-kN axial force P and a 10-kN·m torque T, each directed as shown, are applied to the pipe, determine the normal and in-plane shearing stresses along the weld line, using Mohr's circle. Answer: shear stress along the weld line = 3.61 MPa. Weld 20° 8 mm

The compound shaft consists of a solid aluminum segment (1) and a hollow brass segment (2) that are connected at flange B and securely attached to rigid supports at A and C. Aluminum segment (1) has a diameter of 0.55 in., a length of L₁ = 40 in., a shear modulus of 3800 ksi, and an allowable shear stress of 5.8 ksi. Brass segment (2) has an outside diameter of 0.45 in., a wall thickness of 0.15 in., a length of L₂ = 30 in., a shear modulus of 6400 ksi, and an allowable shear stress of 8.2 ksi. Determine: (a) the allowable torque Te that can be applied to the compound shaft at flange B. (b) the magnitudes of the internal torques in segments (1) and (2). (c) the rotation angle of flange B (relative to support A) that is produced by the allowable torque TB. L₁ L2 TB (1) Answer: (a) TB= (b) T₁ = T2= (c) OB= B lb-ft lb-ft lb-ft rad (2) C

Using the CREMONA method, determine the forces and types of stress in the bars and analyze them.

a) Determine the force P  (in kN) required to stretch the Aluminum bar by  3mm. B)  Determine the final width and thickness of the Aluminum bar. (1)