MODULAR PROGRAMME COURSEWORK ASSESSMENT SPECIFICATION
Problem: The concrete beam in question has been randomly reinforced with steel rebars as shown in Figure 7, and we need to calculate its second moment of area and neutral axis using code.
Methodology: Under tension, ignore the contribution of concrete and calculate the equivalent area of steel rebars according to the Theory; Under compression, both the contribution of concrete and steel rebars would need to be considered which means the Theory needs to be slightly revised if the steel rebars are also under compression.
Inputs: The Young’s modulus of steel Es = 200GPa, and the Young’s modulus of concrete Ec = 25GPa. It is assumed that Es is the same for tension and compression, but Ec can be ignored under tension. The overall cross-sectional dimensions of the reinforced concrete beam are 600mm in width and 140mm in height. A total of 5 steel rebars with a diameter of 16mm are evenly spaced (150mm) horizontally but each of their vertical position through the depth is a random integer between 0 and 140. The direction of the moment My has been given.
Expected outputs:
1. Plot the distribution of 5 steel rebars.
2. Calculate the neutral axis by solving the equation according to the Theory.
3. Calculate the second moment of area Iyy.
4. Calculate the maximum tensile stress in the steel rebars and maximum compressive
stress in the concrete under a constant moment of My = 9 kNm
MATLAB Code
25 EUR
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