bar is 250 mm long and 10 mm square over part of its length, the remainder being circular with a diameter of 25 mm. A gradually applied tensile load P kN induces a maximum stress in the bar of 200 MPa. The total strain energy in the bar when this stress of 200 MPa is acting is 1,3 J. Calculate (a) the load P; (b) the total extension of the bar; (c) the length of the square portion of the bar; (d) the suddenly applied load that will induce the same amount of energy; and (e) the load that falls from a height of 8 mm and induces 1,3 J in the bar. (Take E as 200 GPa.)
bar is 250 mm long and 10 mm square over part of its length, the remainder being circular with a diameter of 25 mm. A gradually applied tensile load P kN induces a maximum stress in the bar of 200 MPa. The total strain energy in the bar when this stress of 200 MPa is acting is 1,3 J. Calculate (a) the load P; (b) the total extension of the bar; (c) the length of the square portion of the bar; (d) the suddenly applied load that will induce the same amount of energy; and (e) the load that falls from a height of 8 mm and induces 1,3 J in the bar. (Take E as 200 GPa.)
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter8: Applications Of Plane Stress (pressure Vessels, Beams, And Combined Loadings)
Section: Chapter Questions
Problem 8.2.8P: A spherical steel pressure vessel (diameter 500 mm, thickness 10 mm) is coated with brittle lacquer...
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![8.13 A solid steel bar is 250 mm long and 10 mm square over part of its length, the remainder being
circular with a diameter of 25 mm. A gradually applied tensile load P kN induces a maximum
stress in the bar of 200 MPa. The total strain energy in the bar when this stress of 200 MPa is
acting is 1,3 J. Calculate (a) the load P; (b) the total extension of the bar; (c) the length of the
square portion of the bar; (d) the suddenly applied load that will induce the same amount of
and (e) the load that falls from a height of 8 mm and induces 1,3 J in the bar. (Take E as
energy;
200 GPa.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F20e8d84f-35c7-4092-a46e-d51fcab04f8d%2Fa09f4bed-d6aa-4607-baa8-cb1784a83c88%2Fgf2gtm8_processed.jpeg&w=3840&q=75)
Transcribed Image Text:8.13 A solid steel bar is 250 mm long and 10 mm square over part of its length, the remainder being
circular with a diameter of 25 mm. A gradually applied tensile load P kN induces a maximum
stress in the bar of 200 MPa. The total strain energy in the bar when this stress of 200 MPa is
acting is 1,3 J. Calculate (a) the load P; (b) the total extension of the bar; (c) the length of the
square portion of the bar; (d) the suddenly applied load that will induce the same amount of
and (e) the load that falls from a height of 8 mm and induces 1,3 J in the bar. (Take E as
energy;
200 GPa.)
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