4. A round, horizontal, simply supported steel bar is subject to an axial compressive load, P = 5 kN, at each end acting at its centroid. Due to space constraints, the maximum deflection of the bar cannot exceed 350mm. Considering only the weight of the bar determine (a) the allowable span of the beam from points A to B, aka the total length of the beam in meters, and (b) the radius of gyration of the bar in millimeters. Let d = 60mm, E = 210 GPa, v = 0.30. The specific weight of the steel is 77 kN/m?. Note: the maximum deflection of a beam due to its own weight is vmax SpL* 384EI where p is the distributed load in N/m. A Extra credit: describe the differences between strength, stiffness and stability L = ? m B.
4. A round, horizontal, simply supported steel bar is subject to an axial compressive load, P = 5 kN, at each end acting at its centroid. Due to space constraints, the maximum deflection of the bar cannot exceed 350mm. Considering only the weight of the bar determine (a) the allowable span of the beam from points A to B, aka the total length of the beam in meters, and (b) the radius of gyration of the bar in millimeters. Let d = 60mm, E = 210 GPa, v = 0.30. The specific weight of the steel is 77 kN/m?. Note: the maximum deflection of a beam due to its own weight is vmax SpL* 384EI where p is the distributed load in N/m. A Extra credit: describe the differences between strength, stiffness and stability L = ? m B.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Big and clear handwriting with the drawing please. Make sure calculations and answers are accurate please. THANK YOU
Transcribed Image Text:4. A round, horizontal, simply supported steel bar is subject to an axial compressive load, P = 5 kN, at
each end acting at its centroid. Due to space constraints, the maximum deflection of the bar cannot
exceed 350mm. Considering only the weight of the bar determine (a) the allowable span of the beam
from points A to B, aka the total length of the beam in meters, and (b) the radius of gyration of the bar
in millimeters. Let d = 60mm, E = 210 GPa, v = 0.30. The specific weight of the steel is 77 kN/m³.
Note: the maximum deflection of a beam due to its own weight is vmax
SpL*
384EI
where p is the
distributed load in N/m.
A
Extra credit: describe the
differences between strength,
stiffness and stability
L= ? m
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