Example 1: A beam with an inverted tee-shaped cross section is subjected to positive bending moments of Mz = 5 kN-m. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at points H and K. State whether the normal stress is tension or compression. (c) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. 10 mm

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Question
Example 1: A beam with an inverted tee-shaped cross section is subjected to positive bending
moments of Mz = 5 kN m. Determine:
(a) the centroid location, the moment of inertia about the z axis, and the controlling section
modulus about the z axis.
(b) the bending stress at points H and K. State whether the normal stress is tension or compression.
(c) the maximum bending stress produced in the cross section. State whether the stress is tension
or compression.
10 mm
10 mm
5 kN-m
40 mm
(1)
5 KN-m
K
150 mm
150 mm
90 mm
7.5 mm
(2)
15 m
[15 mm
Ref.
axis
120 mm
120 mm
Transcribed Image Text:Example 1: A beam with an inverted tee-shaped cross section is subjected to positive bending moments of Mz = 5 kN m. Determine: (a) the centroid location, the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at points H and K. State whether the normal stress is tension or compression. (c) the maximum bending stress produced in the cross section. State whether the stress is tension or compression. 10 mm 10 mm 5 kN-m 40 mm (1) 5 KN-m K 150 mm 150 mm 90 mm 7.5 mm (2) 15 m [15 mm Ref. axis 120 mm 120 mm
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