Question

1. (100 POINTS) A four-flange beam section is shown below. The cross-sectional area of each flange is shown adjacent to the flange. The external shear load V equals 141.14 kN acts in a direction as shown. Find the vertical and horizontal location of the shear center. $A_1 = A_2 = 20 \text{ cm}^2$ $A_3 = A_4 = 10 \text{ cm}^2$

          1. (100 POINTS) A four-flange beam section is shown below. The cross-sectional area of each flange is shown adjacent to the flange. The external shear load V equals 141.14 kN acts in a direction as shown. Find the vertical and horizontal location of the shear center.
$A_1 = A_2 = 20 \text{ cm}^2$
$A_3 = A_4 = 10 \text{ cm}^2$

1. (100 POINTS) A four-flange beam section is shown below. The cross-sectional area of each flange is shown adjacent to the flange. The external shear load V equals 141.14 kN acts in a direction as shown. Find the vertical and horizontal location of the shear center.
A1 = A2 = 20 cm^2
A3 = A4 = 10 cm^2

Added by David N.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

08/27/2023

Step 1

The centroid of the entire cross-sectional area can be found using the formula: \[ \bar{y} = \frac{\sum A_i y_i}{\sum A_i} \] where A_i is the area of each flange and y_i is the distance from the centroid of each flange to the reference axis. Show more…

Show all steps

Thanks for your feedback!

Mechanics of aircraft structures: (100 POINTS) A four-flange beam section is shown below. The cross-sectional area of each flange is shown adjacent to the flange. The external shear load V equals 141.14 kN acts in a direction as shown. Find the vertical and horizontal location of the shear center. A1=A2=20cm^2 A3=A4=10cm^2