A short length of a rolled-steel column supports a rigid plate on which two loads P and Q are applied as shown. The strains at two points A and B on the centerline of the outer faces of the flanges have been measured and found to be &A=-425 x 10-6 in./in. Eg=-300×10-6 in./in. Knowing that E= 29 x 106 psi, determine the magnitude of each load. 6 in. 6 in. The magnitude of load Pis The magnitude of load Q is B 10 in. A = 10.0 in² 1. = 273 in¹ A kips. kips. ·x
A short length of a rolled-steel column supports a rigid plate on which two loads P and Q are applied as shown. The strains at two points A and B on the centerline of the outer faces of the flanges have been measured and found to be &A=-425 x 10-6 in./in. Eg=-300×10-6 in./in. Knowing that E= 29 x 106 psi, determine the magnitude of each load. 6 in. 6 in. The magnitude of load Pis The magnitude of load Q is B 10 in. A = 10.0 in² 1. = 273 in¹ A kips. kips. ·x
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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![A short length of a rolled-steel column supports a rigid plate on which two loads \( P \) and \( Q \) are applied as shown. The strains at two points \( A \) and \( B \) on the centerline of the outer faces of the flanges have been measured and found to be
\[
\varepsilon_A = -425 \times 10^{-6} \text{ in./in.}
\]
\[
\varepsilon_B = -300 \times 10^{-6} \text{ in./in.}
\]
Knowing that \( E = 29 \times 10^6 \) psi, determine the magnitude of each load.
Diagram Description:
- A 3D representation of a steel column with a plate on top.
- Loads \( P \) and \( Q \) are applied perpendicularly to the plate surface.
- The plate has dimensions indicated, with loads applied 6 inches apart.
- The distance between points \( A \) and \( B \) is 10 inches.
- Properties are listed as \( A = 10.0 \text{ in}^2 \) and \( I_z = 273 \text{ in}^4 \).
Fill in the blanks:
The magnitude of load \( P \) is \(\_\_\_\) kips.
The magnitude of load \( Q \) is \(\_\_\_\) kips.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F97b7422a-52f7-4bc4-acdc-28b7d7bc43e4%2F52bff801-aea7-48a6-9a90-d6e11cfad124%2F6gqfna_processed.png&w=3840&q=75)
Transcribed Image Text:A short length of a rolled-steel column supports a rigid plate on which two loads \( P \) and \( Q \) are applied as shown. The strains at two points \( A \) and \( B \) on the centerline of the outer faces of the flanges have been measured and found to be
\[
\varepsilon_A = -425 \times 10^{-6} \text{ in./in.}
\]
\[
\varepsilon_B = -300 \times 10^{-6} \text{ in./in.}
\]
Knowing that \( E = 29 \times 10^6 \) psi, determine the magnitude of each load.
Diagram Description:
- A 3D representation of a steel column with a plate on top.
- Loads \( P \) and \( Q \) are applied perpendicularly to the plate surface.
- The plate has dimensions indicated, with loads applied 6 inches apart.
- The distance between points \( A \) and \( B \) is 10 inches.
- Properties are listed as \( A = 10.0 \text{ in}^2 \) and \( I_z = 273 \text{ in}^4 \).
Fill in the blanks:
The magnitude of load \( P \) is \(\_\_\_\) kips.
The magnitude of load \( Q \) is \(\_\_\_\) kips.
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