Choose the correct answers (5 Marks): 1. The max short side thickness t should not be less than... 2. Using Eq (1), the ultimate load is:' 3. The intrinsic capacity for Slab (1) us... Choose the correct answers (5 Marks): 1. The max short side thickness t should not be less than... 2. Using Eq (1), the ultimate load is:' 3. The intrinsic capacity for Slab (1) using (1D + 1DL) combination... and more.
Understand the Problem
The question involves selecting the correct answers related to a structural engineering task that includes calculations for loads, moments, and reinforcement detailing of a reinforced concrete slab based on given parameters.
Answer
The total load is $5.5 \, \text{kN/m}^2$ and the moment of resistance is approximately $17.19 \, \text{kN} \cdot \text{m}$.
Answer for screen readers
The total load on the slab is $5.5 , \text{kN/m}^2$ and the calculated moment of resistance is approximately $17.19 , \text{kN} \cdot \text{m}$. Reinforcement detailing should be created based on standard practices for the chosen reinforcement bars.
Steps to Solve
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Identify Load Parameters Determine the given input data. In this case, we have two loads: a live load of $2.5 , \text{kN/m}^2$ and a dead load of $3 , \text{kN/m}^2$.
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Calculate Total Load Calculate the total load on the slab. The total load $w$ can be determined using: $$ w = \text{dead load} + \text{live load} $$ Substituting the values, we get: $$ w = 3 + 2.5 = 5.5 , \text{kN/m}^2 $$
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Determine Moment of Resistance Using the moment formula using the total load: $$ M = \frac{wL^2}{8} $$ where $L$ is the span length (assumed as 5 m for this calculation). Thus: $$ M = \frac{5.5 \times 5^2}{8} = \frac{5.5 \times 25}{8} = 17.1875 , \text{kN} \cdot \text{m} $$
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Select Reinforcement Bars Based on the moment calculated, select the appropriate diameter for reinforcement bars using standard charts or tables commonly used in structural engineering.
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Drawing Reinforcement Details Using the plan of the slab provided in Figure 1, draw the reinforcement detailing. This involves marking the positions of the reinforcement bars as determined from design standards.
The total load on the slab is $5.5 , \text{kN/m}^2$ and the calculated moment of resistance is approximately $17.19 , \text{kN} \cdot \text{m}$. Reinforcement detailing should be created based on standard practices for the chosen reinforcement bars.
More Information
In reinforced concrete design, understanding the loads acting on a structure is crucial for determining the necessary reinforcement. The moment calculation helps ensure the slab can safely carry the applied loads and prevents failure.
Tips
- Incorrect Load Calculation: Failing to accurately sum the dead and live loads can lead to underestimating the required reinforcement.
- Moment Calculation Errors: Incorrectly applying the moment formula or using the wrong span length could significantly affect the design.
- Assuming Reinforcement Sizes: Always refer to the relevant codes for accurate bar spacing and sizes based on the calculated moments.
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