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5.- Consider the beam ABCDE with a T-shaped cross section (see the following figure). The beam ABCDE is subjected to three point loads (7 kips at A, 16 kips at C, and 17 kips at E) and a uniform distributed load 6 kips/ft as shown in the figure. The allowable bending stresses are (σallow)T 2.0 ksi in tension and (σallow)c = 3.0 ksi in compression. (45 points) a) Find the moment of inertia about the neutral axis. b) Draw the shear force and bending moment diagrams for the beam AE. c) Find the maximum tensile and compressive stresses in the beam AE. d) Using the given allowable stresses ((allow) and (σallow)c) in the problem statement, determine if the structure is safe to use under the given loading conditions. = 16 kips 7 kips 6 kips/ft 6 ft B 4 ft C 10 ft D 17 kips 16.00 in. y E 4 ft 0.75 in. 1.50 in. 18.50 in.

5.- Consider the beam ABCDE with a T-shaped cross section (see the following figure). The beam ABCDE is subjected to three point loads (7 kips at A, 16 kips at C, and 17 kips at E) and a uniform distributed load 6 kips/ft as shown in the figure. The allowable bending stresses are (σallow)T 2.0 ksi in tension and (σallow)c = 3.0 ksi in compression. (45 points) a) Find the moment of inertia about the neutral axis. b) Draw the shear force and bending moment diagrams for the beam AE. c) Find the maximum tensile and compressive stresses in the beam AE. d) Using the given allowable stresses ((allow) and (σallow)c) in the problem statement, determine if the structure is safe to use under the given loading conditions. = 16 kips 7 kips 6 kips/ft 6 ft B 4 ft C 10 ft D 17 kips 16.00 in. y E 4 ft 0.75 in. 1.50 in. 18.50 in.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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5.- Consider the beam ABCDE with a T-shaped cross section (see the following figure). The beam ABCDE is subjected to three point loads (7 kips at A, 16 kips at C, and 17 kips at E) and a uniform distributed load 6 kips/ft as shown in the figure. The allowable bending stresses are (σallow)T 2.0 ksi in tension and (σallow)c = 3.0 ksi in compression. (45 points) a) Find the moment of inertia about the neutral axis. b) Draw the shear force and bending moment diagrams for the beam AE. c) Find the maximum tensile and compressive stresses in the beam AE. d) Using the given allowable stresses ((allow) and (σallow)c) in the problem statement, determine if the structure is safe to use under the given loading conditions. = 16 kips 7 kips 6 kips/ft 6 ft B 4 ft C 10 ft D 17 kips 16.00 in. y E 4 ft 0.75 in. 1.50 in. 18.50 in.
Transcribed Image Text:5.- Consider the beam ABCDE with a T-shaped cross section (see the following figure). The beam ABCDE is subjected to three point loads (7 kips at A, 16 kips at C, and 17 kips at E) and a uniform distributed load 6 kips/ft as shown in the figure. The allowable bending stresses are (σallow)T 2.0 ksi in tension and (σallow)c = 3.0 ksi in compression. (45 points) a) Find the moment of inertia about the neutral axis. b) Draw the shear force and bending moment diagrams for the beam AE. c) Find the maximum tensile and compressive stresses in the beam AE. d) Using the given allowable stresses ((allow) and (σallow)c) in the problem statement, determine if the structure is safe to use under the given loading conditions. = 16 kips 7 kips 6 kips/ft 6 ft B 4 ft C 10 ft D 17 kips 16.00 in. y E 4 ft 0.75 in. 1.50 in. 18.50 in.
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