The T-shape shown in the figure is used as a tension member. Given that the gross area Ag = 2556 mm², tw = 10 mm, gross depth d = 220 mm and bolts are 16-mm-diameter, with Fy=345 MPa and Fu = 450 MPa, calculate the nominal block shear strength for combined tensile rupture and shear rupture. Write your answer to the nearest whole number in kN. Consider Ubs = 1.0

Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
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Civil engg.

**Transcription for Educational Website:**

**Title: Calculation of Nominal Block Shear Strength for a T-Shape Tension Member**

The diagram illustrates a T-shaped tension member. We are given the following parameters for this member:

- Gross Area, \( A_g = 2556 \, \text{mm}^2 \)
- Thickness of web, \( t_w = 10 \, \text{mm} \)
- Gross depth, \( d = 220 \, \text{mm} \)
- Bolts are of 16-mm diameter
- Yield strength, \( F_y = 345 \, \text{MPa} \)
- Ultimate strength, \( F_u = 450 \, \text{MPa} \)
- Block shear strength coefficient, \( U_{bs} = 1.0 \)

**Objective:**
Calculate the nominal block shear strength for combined tensile rupture and shear rupture. The answer should be rounded to the nearest whole number in kilonewtons (kN).

**Diagram Details:**

- The T-section is depicted with a vertical stem and a horizontal flange.
- The web of the T-section shows four bolt holes aligned horizontally at 75 mm intervals. 
- Each bolt has a diameter of 16 mm.
- The distance from the edge of the flange to the first bolt is 40 mm.
- The vertical measurement from the top of the flange to the bottom of the stem is noted as 125 mm.

This setup is used to analyze the tensile and shear stresses on the tension member to calculate the block shear strength, factoring in both tensile rupture and shear rupture for structural safety and integrity.
Transcribed Image Text:**Transcription for Educational Website:** **Title: Calculation of Nominal Block Shear Strength for a T-Shape Tension Member** The diagram illustrates a T-shaped tension member. We are given the following parameters for this member: - Gross Area, \( A_g = 2556 \, \text{mm}^2 \) - Thickness of web, \( t_w = 10 \, \text{mm} \) - Gross depth, \( d = 220 \, \text{mm} \) - Bolts are of 16-mm diameter - Yield strength, \( F_y = 345 \, \text{MPa} \) - Ultimate strength, \( F_u = 450 \, \text{MPa} \) - Block shear strength coefficient, \( U_{bs} = 1.0 \) **Objective:** Calculate the nominal block shear strength for combined tensile rupture and shear rupture. The answer should be rounded to the nearest whole number in kilonewtons (kN). **Diagram Details:** - The T-section is depicted with a vertical stem and a horizontal flange. - The web of the T-section shows four bolt holes aligned horizontally at 75 mm intervals. - Each bolt has a diameter of 16 mm. - The distance from the edge of the flange to the first bolt is 40 mm. - The vertical measurement from the top of the flange to the bottom of the stem is noted as 125 mm. This setup is used to analyze the tensile and shear stresses on the tension member to calculate the block shear strength, factoring in both tensile rupture and shear rupture for structural safety and integrity.
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