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Two fillet welds, indicated as AB and DC, are utilized to attach a plate to a steel column, as illustrated in Fig. 2. The plate is subjected to a load F = 80 kN, directed as shown in Fig. 2. The allowable shear stress in the weld material is 120 MPa. Determine the required leg size of the fillet welds. 150 mm A B $ = 45° D C 100 mm ww 007

Two fillet welds, indicated as AB and DC, are utilized to attach a plate to a steel column, as illustrated in Fig. 2. The plate is subjected to a load F = 80 kN, directed as shown in Fig. 2. The allowable shear stress in the weld material is 120 MPa. Determine the required leg size of the fillet welds. 150 mm A B $ = 45° D C 100 mm ww 007

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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### Fillet Welds on Steel Column: Determining Required Leg Size #### Problem Statement Two fillet welds, indicated as \(AB\) and \(DC\), are utilized to attach a plate to a steel column, as illustrated in the figure below. The plate is subjected to a load \(F = 80 \, \text{kN}\), directed as shown in the figure. The allowable shear stress in the weld material is \(120 \, \text{MPa}\). Determine the required leg size of the fillet welds. #### Diagram Description The figure below shows a vertical steel column with a fillet welded plate. The plate is positioned in the center of the column and is rectangular, with dimensions 200 mm in height and extending 100 mm horizontally beyond the column on the lower side and 150 mm on the upper side. The load \( F \) of 80 kN is applied at the top-right corner of the plate at an angle \( \phi = 45^\circ \). The welds \( AB \) and \( DC \) are depicted in a hatched pattern at either side of the plate. The weld \( AB \) is 150 mm long, while the weld \( DC \) is 100 mm long. #### Parameters: - Load \( F = 80 \, \text{kN} \) - Load angle \( \phi = 45^\circ \) - Allowable shear stress \( \tau_{\text{allowable}} = 120 \, \text{MPa} \) - Lengths of welds: \( AB = 150 \, \text{mm} \) and \( DC = 100 \, \text{mm} \) **Figure 2:** Plate with Fillet Welds Attached to Steel Column --- To determine the required leg size of the fillet welds, you need to perform the necessary shear stress calculations considering the given load and allowable shear stress in the weld material. #### Steps for Calculation: 1. **Calculate the resultant shear force on each weld due to the applied load \( F \).** 2. **Determine the throat area of the fillet welds using the calculated shear force and allowable shear stress.** 3. **From the throat area, derive the required leg size of the fillet welds.** The figure illustrates the setup and force directions essential for performing these calculations. This conceptual framework aids in understanding the mechanics
Transcribed Image Text:### Fillet Welds on Steel Column: Determining Required Leg Size #### Problem Statement Two fillet welds, indicated as \(AB\) and \(DC\), are utilized to attach a plate to a steel column, as illustrated in the figure below. The plate is subjected to a load \(F = 80 \, \text{kN}\), directed as shown in the figure. The allowable shear stress in the weld material is \(120 \, \text{MPa}\). Determine the required leg size of the fillet welds. #### Diagram Description The figure below shows a vertical steel column with a fillet welded plate. The plate is positioned in the center of the column and is rectangular, with dimensions 200 mm in height and extending 100 mm horizontally beyond the column on the lower side and 150 mm on the upper side. The load \( F \) of 80 kN is applied at the top-right corner of the plate at an angle \( \phi = 45^\circ \). The welds \( AB \) and \( DC \) are depicted in a hatched pattern at either side of the plate. The weld \( AB \) is 150 mm long, while the weld \( DC \) is 100 mm long. #### Parameters: - Load \( F = 80 \, \text{kN} \) - Load angle \( \phi = 45^\circ \) - Allowable shear stress \( \tau_{\text{allowable}} = 120 \, \text{MPa} \) - Lengths of welds: \( AB = 150 \, \text{mm} \) and \( DC = 100 \, \text{mm} \) **Figure 2:** Plate with Fillet Welds Attached to Steel Column --- To determine the required leg size of the fillet welds, you need to perform the necessary shear stress calculations considering the given load and allowable shear stress in the weld material. #### Steps for Calculation: 1. **Calculate the resultant shear force on each weld due to the applied load \( F \).** 2. **Determine the throat area of the fillet welds using the calculated shear force and allowable shear stress.** 3. **From the throat area, derive the required leg size of the fillet welds.** The figure illustrates the setup and force directions essential for performing these calculations. This conceptual framework aids in understanding the mechanics
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