2 BUCKLING QUESTION a) Briefly explain what is the difference between the failures due to instability, yielding, and plastic collapse in the context of bending failures of structures. b) The following figure (Figure 3) shows a hinged structure (not to scale; dimensions in mm; and B, C, D, E are all pin joints) carrying a bucket at the end of its horizontal arm. The spring of stiffness k has a length such that any deviation from the vertical of the upright arm to which it is attached exerts a restoring force on the arm. What spring stiffness k should be chosen in order that the structure collapses when water of total mass 5kg is poured into the bucket? (Hint: consider the instability when the vertical components are displaced by a small angle with respect to the vertical). Note: Dimension "a" in the following Figure is equal to 500 A 5g B. E a/2 a/2
2 BUCKLING QUESTION a) Briefly explain what is the difference between the failures due to instability, yielding, and plastic collapse in the context of bending failures of structures. b) The following figure (Figure 3) shows a hinged structure (not to scale; dimensions in mm; and B, C, D, E are all pin joints) carrying a bucket at the end of its horizontal arm. The spring of stiffness k has a length such that any deviation from the vertical of the upright arm to which it is attached exerts a restoring force on the arm. What spring stiffness k should be chosen in order that the structure collapses when water of total mass 5kg is poured into the bucket? (Hint: consider the instability when the vertical components are displaced by a small angle with respect to the vertical). Note: Dimension "a" in the following Figure is equal to 500 A 5g B. E a/2 a/2
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 2.5.29P: A polyethylene tube (length L) has a cap that when installed compresses a spring (with under-formed...
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Transcribed Image Text:2 BUCKLING QUESTION
a) Briefly explain what is the difference between the failures due to instability, yielding, and
plastic collapse in the context of bending failures of structures.
b) The following figure (Figure 3) shows a hinged structure (not to scale; dimensions in mm;
and B, C, D, E are all pin joints) carrying a bucket at the end of its horizontal arm. The
spring of stiffness k has a length such that any deviation from the vertical of the upright arm
to which it is attached exerts a restoring force on the arm. What spring stiffness k should be
chosen in order that the structure collapses when water of total mass 5kg is poured into the
bucket? (Hint: consider the instability when the vertical components are displaced by a
small angle with respect to the vertical).
Note: Dimension "a" in the following Figure is equal to 500
A
5g
B.
E
a/2
a/2
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