7.(A). A steel bar ABCD consists of three sections: AB is of 20mm diameter and 200 mm long, BC is 25 mm square and 400 mm long, and CD is of 12 mm diameter and 200mm long. The bar is subjected to an axial compressive load which induces a stress of 30 MN/m on the largest cross-section. Determine the total decrease in the length of the bar when the load is applied. For steel E = 210GN/m². %3! [0.272 mm.]
7.(A). A steel bar ABCD consists of three sections: AB is of 20mm diameter and 200 mm long, BC is 25 mm square and 400 mm long, and CD is of 12 mm diameter and 200mm long. The bar is subjected to an axial compressive load which induces a stress of 30 MN/m on the largest cross-section. Determine the total decrease in the length of the bar when the load is applied. For steel E = 210GN/m². %3! [0.272 mm.]
Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter2: Axially Loaded Members
Section: Chapter Questions
Problem 2.3.21P: A slightly tapered bar AB of solid circular crass section and length L is supported at end B and...
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![7.(A). A steel bar ABCD consists of three sections: AB is of 20mm diameter and 200
mm long, BC is 25 mm square and 400 mm long, and CD is of 12 mm diameter and
200mm long. The bar is subjected to an axial compressive load which induces a stress
of 30 MN/m on the largest cross-section. Determine the total decrease in the length of
the bar when the load is applied. For steel E = 210GN/m?.
[0.272 mm.]
8. Figure (19) shows a special spanner used to tighten screwed components. A torque is
applied at the tommy -bar and is transmitted to the pins which engage into holes
located into the end of a screwed component.
(a) Using the data given in Figure (19) calculate:
(i) the diameter D of the shank if the shear stress is not to exceed 50N/mm',
(ii) the stress due to bending in the tommy-bar,
(iii) the shear stress in the pins.
[9.14mm; 254.6 MN/m², 39.8 MN/m²]
SON force opplied ot a dstonce
of 25 mm trom both ends of
tommy bor](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F401e1a62-6087-4abc-8aca-493e4843058e%2F7ac07302-50b2-48d2-bd28-541256b6ca95%2Fxs4mfi_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7.(A). A steel bar ABCD consists of three sections: AB is of 20mm diameter and 200
mm long, BC is 25 mm square and 400 mm long, and CD is of 12 mm diameter and
200mm long. The bar is subjected to an axial compressive load which induces a stress
of 30 MN/m on the largest cross-section. Determine the total decrease in the length of
the bar when the load is applied. For steel E = 210GN/m?.
[0.272 mm.]
8. Figure (19) shows a special spanner used to tighten screwed components. A torque is
applied at the tommy -bar and is transmitted to the pins which engage into holes
located into the end of a screwed component.
(a) Using the data given in Figure (19) calculate:
(i) the diameter D of the shank if the shear stress is not to exceed 50N/mm',
(ii) the stress due to bending in the tommy-bar,
(iii) the shear stress in the pins.
[9.14mm; 254.6 MN/m², 39.8 MN/m²]
SON force opplied ot a dstonce
of 25 mm trom both ends of
tommy bor
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