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Tension Member A36 Steel Plate P Calculate Tension Capacity of line abcde (A„) 1. 2. abfcgde (A) 3. abfgde (A,), and 4. Yielding over A gross

Tension Member A36 Steel Plate P Calculate Tension Capacity of line abcde (A„) 1. 2. abfcgde (A) 3. abfgde (A,), and 4. Yielding over A gross

Structural Analysis
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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This diagram is a detailed illustration of a gusset plate connection to a tension member using bolts. The primary focus is calculating the tension capacity of various lines through the plate. Below is a description and explanation of the components and steps involved: ### Components - **Gusset Plate**: A structural component to connect beams and columns, shown here with dimensions of 12 inches in height. - **Bolts**: The diagram specifies "10 – 7/8” Bolts" used to secure the connection. - **Plate Thickness**: Labeled as \( t = \frac{1}{2}" \). - **Tension Member**: Specified as an "A36 Steel Plate", which is subject to axial tension force denoted as \( P_u \). ### Dimensions and Lines - **Bolt Placement**: Bolts are placed in a staggered pattern, with horizontal distances of 3 inches between them and vertical spacing of 2 inches between each bolt. - **Lines of Consideration for Tension Capacity**: - **Line abcde (A_{n})**: A red dashed line following a staggered pattern around bolts. - **Line abfcgde (A_{n'})**: A black dashed line diverging from line 1, with extra bolting points considered. - **Line abfgde (A_{n''})**: Another staggered path considered for tension capacity. - **Yielding Consideration**: Indicated as the evaluation of yielding over the \( A_{gross} \). ### Points and Areas - **Points a, b, c, d, e, f, g**: Critical points on the plate where tension lines are considered. - **Cross-sectional Areas**: - \( A_n \) (net area) and \( A_g \) (gross area) are used to evaluate the tensile strength under different failure paths. ### Calculation Instructions The tension capacity of the various lines through the plate is to be calculated as follows: 1. **Line abcde**: Analyze the net tensile area \( A_n \). 2. **Line abfcgde**: Consider additional bolt holes and evaluate \( A_{n'} \). 3. **Line abfgde**: Further evaluates net area with alternative bolt line \( A_{n''} \). 4. **Yielding**: Determine potential yielding using the gross sectional area \( A_{
Transcribed Image Text:This diagram is a detailed illustration of a gusset plate connection to a tension member using bolts. The primary focus is calculating the tension capacity of various lines through the plate. Below is a description and explanation of the components and steps involved: ### Components - **Gusset Plate**: A structural component to connect beams and columns, shown here with dimensions of 12 inches in height. - **Bolts**: The diagram specifies "10 – 7/8” Bolts" used to secure the connection. - **Plate Thickness**: Labeled as \( t = \frac{1}{2}" \). - **Tension Member**: Specified as an "A36 Steel Plate", which is subject to axial tension force denoted as \( P_u \). ### Dimensions and Lines - **Bolt Placement**: Bolts are placed in a staggered pattern, with horizontal distances of 3 inches between them and vertical spacing of 2 inches between each bolt. - **Lines of Consideration for Tension Capacity**: - **Line abcde (A_{n})**: A red dashed line following a staggered pattern around bolts. - **Line abfcgde (A_{n'})**: A black dashed line diverging from line 1, with extra bolting points considered. - **Line abfgde (A_{n''})**: Another staggered path considered for tension capacity. - **Yielding Consideration**: Indicated as the evaluation of yielding over the \( A_{gross} \). ### Points and Areas - **Points a, b, c, d, e, f, g**: Critical points on the plate where tension lines are considered. - **Cross-sectional Areas**: - \( A_n \) (net area) and \( A_g \) (gross area) are used to evaluate the tensile strength under different failure paths. ### Calculation Instructions The tension capacity of the various lines through the plate is to be calculated as follows: 1. **Line abcde**: Analyze the net tensile area \( A_n \). 2. **Line abfcgde**: Consider additional bolt holes and evaluate \( A_{n'} \). 3. **Line abfgde**: Further evaluates net area with alternative bolt line \( A_{n''} \). 4. **Yielding**: Determine potential yielding using the gross sectional area \( A_{
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