A compression member 3 m. long consists oftwo angles L 6 x 4 x 1/2 mm with long legsback to back and strutting 12 mm gusset platesat each end. E = 200000 MPa, Fy = 230 MPaProperties of one angle L 6 x 4 x 1/2 mmx = 7.20 x 106mm41ly = 2.59 x 106 mm4A = 3060 mm²X = 24.9 mmd = 152 mmb = 102 mmy = 50.3 mma. Compute the minimum radius of gyration.b. compute the allowableaxial stresst = 12.7 mmc. compute the safe axial loadcapacity of the compressionmember

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A compression member 3 m. long consists of two angles L 6 x 4 x 1/2 mm with long legs back to back and strutting 12 mm gusset plates at each end. E = 200000 MPa, Fy = 230 MPa Properties of one angle L 6 x 4 x 1/2 mm

A compression member 3 m. long consists of two angles L 6 x 4 x 1/2 mm with long legs back to back and strutting 12 mm gusset plates at each end. E = 200000 MPa, Fy = 230 MPa Properties of one angle L 6 x 4 x 1/2 mm

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

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Concept explainers

Braced cuts

The braced cut is a method of providing lateral support to the soil in foundation trenches, to prevent the trenches from deformation by the caving in of soil and resisting it from moving laterally. During shallow excavation in firm soil, generally, slopes are provided to resist the caving in of soil. During shallow excavation in soft soil and deep excavation, the chances of caving in of soil increase. Hence, it becomes necessary to make a provision to resist the deformation of trenches due to caving in of soil. The braced cut is the method used for such conditions. The excavation using braced cuts is a bit uneconomical as compared to the traditional open-cut excavation method but provides better safety than the cut excavation method.

Question

A compression member 3 m. long consists of
two angles L 6 x 4 x 1/2 mm with long legs
back to back and strutting 12 mm gusset plates
at each end. E = 200000 MPa, Fy = 230 MPa
Properties of one angle L 6 x 4 x 1/2 mm
x = 7.20 x 106mm4
1
ly = 2.59 x 106 mm4
A = 3060 mm²
X = 24.9 mm
d = 152 mm
b = 102 mm
y = 50.3 mm
a. Compute the minimum radius of gyration.
b. compute the allowable
axial stress
t = 12.7 mm
c. compute the safe axial load
capacity of the compression
member

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Step 2: Determine moment of inertia about centroidal axis

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Step 3: Determine minimum radius of gyration

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Step 4: Compute allowable axial stress

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