1.5 m Dbase Dpase The floor lamp shown in the image has a radius of curvature of 1 m to the centreline and the diameter of the base is 220 mm. The lamp shade assembly (globe, shade, fixtures etc) has a mass of 3.5 kg. The angle to centre of gravity of the lamp shade is theta = 30 degrees. The vertical 1.5 m part of the lamp is tubular with outside diameter d = 15 mm, and wall thickness of 0.8 mm. a. On your page, draw a free body diagram. b. To prevent toppling, what is the required mass of the base?

International Edition---engineering Mechanics: Statics, 4th Edition
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Chapter9: Moments And Products Of Inertia Of Areas
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1.5 m
Dbase
Dase
The floor lamp shown in the image has a radius of curvature of 1 m to the centreline and the
diameter of the base is 220 mm. The lamp shade assembly (globe, shade, fixtures etc) has a
mass of 3.5 kg. The angle to centre of gravity of the lamp shade is theta = 30 degrees. The
vertical 1.5 m part of the lamp is tubular with outside diameter d = 15 mm, and wall
thickness of 0.8 mm.
a. On your page, draw a free body diagram.
b. To prevent toppling, what is the required mass of the base?
a)
Determine the maximum bending stresses on the plane a-a.
b)
On your page, draw a diagram to show the distribution of stress due to bending on
plane a-a.
c)
Determine the normal stress on plane a-a
d)
The top curved section of the lamp should NOT be analysed as a curved beam,
explain why not.
e)
Plane b-b is a vertical plane. Draw a free body diagram sectioned at b-b.
f)
Notice the construction of the tubes which form the vertical and curved parts of the
lamp. It consists of 3 tubes (AB, BC, CD), each having the same wall thickness.
Determine the diameter of the tube at plane b-b, if each member fit snuggly into the
next.
Determine the maximum shear stress on plane b-b and draw a diagram to show its
exact location.
g)
Transcribed Image Text:1.5 m Dbase Dase The floor lamp shown in the image has a radius of curvature of 1 m to the centreline and the diameter of the base is 220 mm. The lamp shade assembly (globe, shade, fixtures etc) has a mass of 3.5 kg. The angle to centre of gravity of the lamp shade is theta = 30 degrees. The vertical 1.5 m part of the lamp is tubular with outside diameter d = 15 mm, and wall thickness of 0.8 mm. a. On your page, draw a free body diagram. b. To prevent toppling, what is the required mass of the base? a) Determine the maximum bending stresses on the plane a-a. b) On your page, draw a diagram to show the distribution of stress due to bending on plane a-a. c) Determine the normal stress on plane a-a d) The top curved section of the lamp should NOT be analysed as a curved beam, explain why not. e) Plane b-b is a vertical plane. Draw a free body diagram sectioned at b-b. f) Notice the construction of the tubes which form the vertical and curved parts of the lamp. It consists of 3 tubes (AB, BC, CD), each having the same wall thickness. Determine the diameter of the tube at plane b-b, if each member fit snuggly into the next. Determine the maximum shear stress on plane b-b and draw a diagram to show its exact location. g)
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