For practice 2.- A steel beam with the cross-section shown in the figure, where the centroid location = 0.644 in, is supported by a roller at A and a pin at B and carries the loads shown. Calculate the moment of inertia of the cross-section about its centroidal axis and use it to find the maximum absolute value of the bending stress at a weak section one 1" to the left of point D where Ofail 42,000 psi. How much is the safety factor? Where does the maximum absolute value of the bending stress occur in this cross-section? Is it tension or compression? B 1.6" C D E 20 in. -20 in. 20 in. -20 in. 500 lb 300 lb 500 lb 2" V 2" Hint: take advantage of symmetry to obtain the support reactions and keep in mind that you are being told the section where you need to check for the stresses.
For practice 2.- A steel beam with the cross-section shown in the figure, where the centroid location = 0.644 in, is supported by a roller at A and a pin at B and carries the loads shown. Calculate the moment of inertia of the cross-section about its centroidal axis and use it to find the maximum absolute value of the bending stress at a weak section one 1" to the left of point D where Ofail 42,000 psi. How much is the safety factor? Where does the maximum absolute value of the bending stress occur in this cross-section? Is it tension or compression? B 1.6" C D E 20 in. -20 in. 20 in. -20 in. 500 lb 300 lb 500 lb 2" V 2" Hint: take advantage of symmetry to obtain the support reactions and keep in mind that you are being told the section where you need to check for the stresses.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
Related questions
Question
Transcribed Image Text:For practice
2.- A steel beam with the cross-section shown in the figure, where the centroid location = 0.644
in, is supported by a roller at A and a pin at B and carries the loads shown.
Calculate the moment of inertia of the cross-section about its centroidal axis and use it to find the
maximum absolute value of the bending stress at a weak section one 1" to the left of point D where
Ofail 42,000 psi. How much is the safety factor? Where does the maximum absolute value of the
bending stress occur in this cross-section? Is it tension or compression?
B
1.6"
C
D
E
20 in.
-20 in. 20 in.
-20 in.
500 lb
300 lb
500 lb
2"
V
2"
Hint: take advantage of symmetry to obtain the support reactions and keep in mind that you are
being told the section where you need to check for the stresses.
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