A M12 x 1.25 hex-head bolt with a nut is used to clamp two 25-mm thick steel plates. The nut height is 10.8 mm. The elastic modulus of steel is 207 GPa. (a) What are the bolt diameter (d) and pitch (p) for the bolt? (b) Determine a suitable length (L) of the bolt, rounded up to the nearest 5 mm? (c) If the total threaded length of the bolt LT = (2d +6) mm, how much of its threaded length will be in the grips? (d) If the effective tensile stress area of the bolt (A:) is 84.3 mm², calculate the bolt stiffness (kb). (e) Assume that the stiffness of each steel plate is 4,200 MN/m. Calculate the total member stiffness (km). (f) If the bolt is tightened with a force of 10 kN, what will be the stress in the bolt due to tightening? Is it a tensile stress, compressive stress or shear stress? (g) After tightening the bolt, a tensile force of 12 kN is applied on the plates, what will be the stress in the bolt now?

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 2.5.31P
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please answer parts d, e, f 

A M12 x 1.25 hex-head bolt with a nut is used to clamp two 25-mm thick steel plates. The nut height
is 10.8 mm. The elastic modulus of steel is 207 GPa.
(a) What are the bolt diameter (d) and pitch (p) for the bolt?
(b) Determine a suitable length (L) of the bolt, rounded up to the nearest 5 mm?
(c) If the total threaded length of the bolt LT = (2d +6) mm, how much of its threaded length
will be in the grips?
(d) If the effective tensile stress area of the bolt (A:) is 84.3 mm², calculate the bolt stiffness
(kb).
(e) Assume that the stiffness of each steel plate is 4,200 MN/m. Calculate the total member
stiffness (km).
(f) If the bolt is tightened with a force of 10 kN, what will be the stress in the bolt due to
tightening? Is it a tensile stress, compressive stress or shear stress?
(g) After tightening the bolt, a tensile force of 12 kN is applied on the plates, what will be the
stress in the bolt now?
Transcribed Image Text:A M12 x 1.25 hex-head bolt with a nut is used to clamp two 25-mm thick steel plates. The nut height is 10.8 mm. The elastic modulus of steel is 207 GPa. (a) What are the bolt diameter (d) and pitch (p) for the bolt? (b) Determine a suitable length (L) of the bolt, rounded up to the nearest 5 mm? (c) If the total threaded length of the bolt LT = (2d +6) mm, how much of its threaded length will be in the grips? (d) If the effective tensile stress area of the bolt (A:) is 84.3 mm², calculate the bolt stiffness (kb). (e) Assume that the stiffness of each steel plate is 4,200 MN/m. Calculate the total member stiffness (km). (f) If the bolt is tightened with a force of 10 kN, what will be the stress in the bolt due to tightening? Is it a tensile stress, compressive stress or shear stress? (g) After tightening the bolt, a tensile force of 12 kN is applied on the plates, what will be the stress in the bolt now?
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