The d = 15-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 10 mm. The rod head has a diameter of a = 30 mm, and the head has a thickness of t = 11 mm. The shear stress in the rod head cannot exceed 140 MPa, the punching shear stress in the support plate cannot exceed 105 MPa, and the bearing stress between the rod head and the support plate cannot exceed 130 MPa. Determine the maximum value of Pmax that can be supported by the structure. Support Plate Rod Answer: Pmax i - Hole diameter D Head kN

Mechanics of Materials (MindTap Course List)
9th Edition
ISBN:9781337093347
Author:Barry J. Goodno, James M. Gere
Publisher:Barry J. Goodno, James M. Gere
Chapter5: Stresses In Beams (basic Topics)
Section: Chapter Questions
Problem 5.9.3P: A vertical pole consisting of a circular tube of outer diameter 5 in. and inner diameter 4.5 in. is...
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The d = 15-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load P is applied to the rod,
the rod head rests on the support plate. The support plate has a thickness of b = 10 mm. The rod head has a diameter of a = 30 mm, and
the head has a thickness of t = 11 mm. The shear stress in the rod head cannot exceed 140 MPa, the punching shear stress in the
support plate cannot exceed 105 MPa, and the bearing stress between the rod head and the support plate cannot exceed 130 MPa.
Determine the maximum value of Pmax that can be supported by the structure.
Support
Plate
Hole diameter D
t
Rod
Answer: Pmax
Mi
-0
Head
KN
b→
a
Transcribed Image Text:The d = 15-mm-diameter solid rod passes through a D = 20-mm-diameter hole in the support plate. When a load P is applied to the rod, the rod head rests on the support plate. The support plate has a thickness of b = 10 mm. The rod head has a diameter of a = 30 mm, and the head has a thickness of t = 11 mm. The shear stress in the rod head cannot exceed 140 MPa, the punching shear stress in the support plate cannot exceed 105 MPa, and the bearing stress between the rod head and the support plate cannot exceed 130 MPa. Determine the maximum value of Pmax that can be supported by the structure. Support Plate Hole diameter D t Rod Answer: Pmax Mi -0 Head KN b→ a
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