QUESTION 4 4.2 4.1 The ratio between the outside diameter and inside diameter of a pipe is 2,5 and the length is 400 mm, when the pipe is not subjected to any load. When a tensile load of 200 kN is applied to the pipe, its length increases by 0,195 mm. The Young's modulus of elasticity for a pipe is 188 GPa. Calculate the inside diameter and outside diameter of a pipe. The following results were obtained by means of a tensile test on a carbon steel specimen, having an original cross-sectional area of 20 mm² and the gauge length is 50 mm. Elastic limit load: Elongation at the elastic limit: =0,06125 mm =4 900 N Maximum load: =7 650 N Load at fracture: =5 050 N Elongation at failure: =15,2 mm Cross-section area at failure: 7,95 mm² Calculate the following: 4.2.1 The stress at the elastic limit. 4.2.2 The maximum stress. 4.2.3 The percentage elongation. 4.2.4 The percentage reduction in area.

b) A 1.25 m long cable has a diameter 3.50 mm with a Young's Modulus, E, of 9.75 x 10⁹ N/m². When the wire is placed under tension, it experiences a stress of 202.52 x 106 N/m², the length of the cable extends by 36.35 mm. Calculate the force that the cable experiences under tension and the strain energy density (U/V) due to deformation. Give your answers in newtons (N) to 2 decimal places for the force; and in joules per cubic metre (J/m³) for the strain energy density to 2 decimal places. Assume the cable is solid and the material is homogeneous. c) Figure Q1c shows a bracket on rollers that allow the bracket to move along a beam in the horizontal direction. A force F₁ of 2625 N acts at point A where the angle between F, and the x-axis is 100. If force F₂ acts at an angle a = 400 between F2 and the y-axis: (i) Determine the magnitude of F2 necessary to maintain bracket on horizontal equilibrium. (ii) Determine the vertical force at A acting along the y-axis. Give your answers to the…

When a bar of 22 mm diameter is subjected to an axial pull of 60 kN the extension on the 49 mm gauge length is 0.1 mm and there is a decrease in diameter of 0.013 mm. Calculate the Young's Modulus. Provide your answer in GN/m2 to the nearest whole number.