1. Construct a composite shape using at least 4 commonly used shapes. Each shape can be additive or subtractive to the total area. Then, determine the following: a.Area of each shape b.X and Y measurements of the centroid of each shape c.Total area of the composite shape d.X and Y measurements of the centroid of the composite shape 2. Construct a distributed load using at least 3 commonly used shapes. Each shape can be additive or subtractive to the total load. The distributed load is supported by a beam with a pin and a roller. Then, determine the following: a.Equivalent concentrated load of each shape b.X and Y measurements of the centroid of each shape c.Determine the reaction (magnitude and direction) on the supports (pin and roller).
1. Construct a composite shape using at least 4 commonly used shapes. Each shape can be additive or subtractive to the total area. Then, determine the following: a.Area of each shape b.X and Y measurements of the centroid of each shape c.Total area of the composite shape d.X and Y measurements of the centroid of the composite shape 2. Construct a distributed load using at least 3 commonly used shapes. Each shape can be additive or subtractive to the total load. The distributed load is supported by a beam with a pin and a roller. Then, determine the following: a.Equivalent concentrated load of each shape b.X and Y measurements of the centroid of each shape c.Determine the reaction (magnitude and direction) on the supports (pin and roller).
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter61: Areas Of Circles, Sectors, And Segments
Section: Chapter Questions
Problem 50A
Question
1. Construct a composite shape using at least 4 commonly used shapes. Each shape can be additive or subtractive to the total area. Then, determine the following:
a.Area of each shape
b.X and Y measurements of the centroid of each shape
c.Total area of the composite shape
d.X and Y measurements of the centroid of the composite shape
2. Construct a distributed load using at least 3 commonly used shapes. Each shape can be additive or subtractive to the total load. The distributed load is supported by a beam with a pin and a roller. Then, determine the following:
a.Equivalent concentrated load of each shape
b.X and Y measurements of the centroid of each shape
c.Determine the reaction (magnitude and direction) on the supports (pin and roller).
Expert Solution
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