a) A pipe with an inside diameter of 42 mm is subjected to an axial load of 850 kN. If the maximum allowable tensile stress in the pipe is 2.50 kN/mm², calculate the minimum wall thickness required for the pipe. Give your answer in millimetres (mm) to 2 decimal places.

Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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a) A pipe with an inside diameter of 42 mm is subjected to an axial load of 850 kN. If
the maximum allowable tensile stress in the pipe is 2.50 kN/mm², calculate the
minimum wall thickness required for the pipe. Give your answer in millimetres
(mm) to 2 decimal places.
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 8
between F, and the x-axis is 100. If force F₂ acts at an angle a = 40° between F2
and the y-axis:
(i)
(ii)
Give your answers to the nearest newton (N) to 2 decimal places.
Assume coplanar forces and assume horizontal rolling is frictionless.
Determine the magnitude of F2 necessary to maintain bracket on horizontal
equilibrium.
Determine the vertical force at A acting along the y-axis.
F1
y
α
F2
X
Transcribed Image Text:a) A pipe with an inside diameter of 42 mm is subjected to an axial load of 850 kN. If the maximum allowable tensile stress in the pipe is 2.50 kN/mm², calculate the minimum wall thickness required for the pipe. Give your answer in millimetres (mm) to 2 decimal places. 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 8 between F, and the x-axis is 100. If force F₂ acts at an angle a = 40° between F2 and the y-axis: (i) (ii) Give your answers to the nearest newton (N) to 2 decimal places. Assume coplanar forces and assume horizontal rolling is frictionless. Determine the magnitude of F2 necessary to maintain bracket on horizontal equilibrium. Determine the vertical force at A acting along the y-axis. F1 y α F2 X
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