Situation 3: Two C 310 x 45 channels are latticed together so that they have equal moment of inertia about the principal axes. E = 200 GPa. Consider flanges of the channels facing outward. Properties of C 310 x 45: A = 5690 mm? x = 17 mm Ix = 67.3 x 106 mm4 Iy = 2.12 x 106 mm K=0.7 6. Determine the distance back to back of channels so that the moment of inertia about the principal axes (x and y) are equal? 7. Determine the minimum length for which Euler's formula is applicable considering a proportional limit of Fcr=250 MPa. 8. Determine the safe axial load that the column could carry if it has an effective length of 12 m. and a factor of safety of 3.5 which Euler's formula is applicable. 17 mm

Structural Analysis
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Author:KASSIMALI, Aslam.
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Chapter2: Loads On Structures
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Situation 3: Two C 310 x 45 channels are latticed together so that they have equal moment of inertia about the principal
axes. E = 200 GPa. Consider flanges of the channels facing outward.
Properties of C 310 x 45:
A = 5690 mm2
x = 17 mm
Ix = 67.3 x 106 mm4
Iy = 2.12 x 106 mm4
K=0.7
6. Determine the distance back to back of channels so that the moment
of inertia about the principal axes (x and y) are equal?
7. Determine the minimum length for which Euler's formula is
applicable considering a proportional limit of Fcr=250 MPa.
8. Determine the safe axial load that the column could carry if it has an
effective length of 12 m. and a factor of safety of 3.5 which Euler's
formula is applicable.
17 mm
Transcribed Image Text:Situation 3: Two C 310 x 45 channels are latticed together so that they have equal moment of inertia about the principal axes. E = 200 GPa. Consider flanges of the channels facing outward. Properties of C 310 x 45: A = 5690 mm2 x = 17 mm Ix = 67.3 x 106 mm4 Iy = 2.12 x 106 mm4 K=0.7 6. Determine the distance back to back of channels so that the moment of inertia about the principal axes (x and y) are equal? 7. Determine the minimum length for which Euler's formula is applicable considering a proportional limit of Fcr=250 MPa. 8. Determine the safe axial load that the column could carry if it has an effective length of 12 m. and a factor of safety of 3.5 which Euler's formula is applicable. 17 mm
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