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.

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.

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

Types and properties of steel

Steel is an alloy of iron. It is formed by heating iron and combining carbon (0.1-1.7%) with it and minor amounts of other elements such sulfur, chromium, manganese, nickel, etc. Thousands of steel grades have been published, registered, or regulated around the world, each with its chemical composition, and special numbering systems have been devised in various countries to classify the vast number of alloys.

Question

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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