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.

Force = P + QMoment, M = 6 Q - 6 PA = 10 in2x = 5 inIz = 273 in4

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

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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