(Solved): A beam has an I-joist cross section with dimensions shown below. - What is the distance (in inches) ...

A beam has an I-joist cross section with dimensions shown below. - What is the distance (in inches) from the reference \( x \)-axis (ie. bottom of the \( \mathrm{I} \)-joist) to the centroidal x-axis? Do not include units. Answer: For the same beam, find the Moment of Inertia about the centroidal \( x \)-axis using the negative area method. Do this calculation on your own sheet and then answer the questions that follow, starting with this one: - Which of the following equations is correct for calculating Moment of Inertia about the centroidal \( x \)-axis for a rectangle? What is the Moment of Inertia (in units of in \( { }^{4} \) ) for the positive area component about its own centroidal x-axis? Do not include units. Answer: What is the Moment of Inertia (in units of \( \mathrm{in}^{4} \) ) for the left negative area component about its own centroidal \( x \)-axis? Include whether it is positive number or a negative number in your answer. Do not include units. What is the distance \( d_{y} \) for the left negative area component? Do not include units. What is the Moment of Inertia \( \left(I_{x}\right) \) for the cross section about the overall centroidal \( x \) axis? Do not include units. Answer;