5.15 A beam in bending has the cross section of an L3 × 2 × 0.25 in unequal leg steel angle. A bending moment of M, = 2 kip-in is transmitted about the z axis as shown in part (a) of the figure. From a handbook the following is Y 2000 lb-in Y (a) (b) Beam section Handbook section definition 1.19 in?, x = 0.493 in, y = 0.993 given based on part (b) of the figure: area = in, Ix = 1.09 in“, Iy = 0.392 in“, rz = 0.435 in, and tan a = 0.440, where Z-Z is a principal axis and rz is the radius of gyration of the cross section relative to the Z-Z axis. Determine the location and magnitudes of the maximum ten- sile and compressive bending stresses.

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Chapter2: Loads On Structures
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Please use Biaxle non-symmetric bending method to solve for this problem

5.15 A beam in bending has the cross section of an L3 × 2 × 0.25 in unequal leg
steel angle. A bending moment of M, = 2 kip-in is transmitted about the z
axis as shown in part (a) of the figure. From a handbook the following is
Y
2000 lb-in
Y
(a)
(b)
Beam section
Handbook section definition
1.19 in?, x = 0.493 in, y = 0.993
given based on part (b) of the figure: area =
in, Ix = 1.09 in“, Iy = 0.392 in“, rz = 0.435 in, and tan a = 0.440, where Z-Z
is a principal axis and rz is the radius of gyration of the cross section relative
to the Z-Z axis. Determine the location and magnitudes of the maximum ten-
sile and compressive bending stresses.
Transcribed Image Text:5.15 A beam in bending has the cross section of an L3 × 2 × 0.25 in unequal leg steel angle. A bending moment of M, = 2 kip-in is transmitted about the z axis as shown in part (a) of the figure. From a handbook the following is Y 2000 lb-in Y (a) (b) Beam section Handbook section definition 1.19 in?, x = 0.493 in, y = 0.993 given based on part (b) of the figure: area = in, Ix = 1.09 in“, Iy = 0.392 in“, rz = 0.435 in, and tan a = 0.440, where Z-Z is a principal axis and rz is the radius of gyration of the cross section relative to the Z-Z axis. Determine the location and magnitudes of the maximum ten- sile and compressive bending stresses.
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