SHAPE FORMULAS 1. RECTANGLE Perimeter = 2a + 20 Area =axb 2. PARALLELOGRAM Perimeter - 2a + 2b =axh Area 3. TRAPEZOID Perimeter = a + b+c+d Area = (a + bxh 2 b 4. TRIANGLE Perimeter = a +b+c Area =axh Perimeter = a +b+c+d = (divide into triangles) 5. TRAPEZIUM Area 6. CIRCLE Circumference = 2xr Area FIGURE 3.5 Perimeters and Areas of Plane Shapes (Delmar/Cengage Learring)

Q: Q1. Figure shows a cross section view of a structure. All dimensions are in mm. (a). Determine the…

A: Solution: Given:

Q: Calculate the y-coordinate of the centroid of the shaded area. The triangle is equilateral. 69 49 49…

A: A composite section is given as followsy-coordinate of centroid =?

Q: calculate Q for transverse shear stress. the rectangle cross-section is hollow with dimensions…

A: Area Above the Neutral axis = 0.5 (6.5x3.5-6x3) =2.375 in2

Q: y 40 mm 8 mm 50 mm 10 mm 8 mm

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Q: Please calculate the centroid x and y bar, and Ixx for the following shapes. Show all work with neat…

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Q: Find the centroid of the profile in the figure shown with respect to the origin of coordinates…

A: Given:Required:Location of centroid

Q: Determine the coordinates of the centroid of the lines shown with respect to the indicated X and Y…

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Q: 4" 12" 9 2" 6 (a)

A: Given  Figure with dimensions in  inches .

Q: Please solve the following problem wtih step by step solutions with neat hand writing.

A: Step 1:Step 2:The centroid of the figure is (x,y)=(5in, 8.32in.)Step 3: Step 4:

Q: From the figure below, locate the centroid from x and y axes as shown. y2 y1 x1 x2 y1 y2 y3 4 5 5 3…

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Q: Locate the centroid X of the plane area shown in mm from the coordinate axes. r = 80 mm. Write…

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Q: Define: First Moment of Area Sketch Or Drawing: Equation: Units:

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Q: Determine the x coordinate of the centroid of shaded area, all dimensions are in mm

A: The given diagram can be split as shown:

Q: 500 50 60 400 500 50 80 - 340 80

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Q: Locate the centroid of the plate area shown below: (All units are in mm). Ø200 Ø150- 300 300 Ø50- 50…

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Q: Please find the centroid x and y bar, and Ixx for the following shapes. Show all work with neat…

A: Step 1:

Q: Cross-Section A (Channel Cross-Section) The first cross-section is what is often referred to as an…

A: Find:, , Imax and Imin

Q: Locate the centroid of the plate area shown below: (All units are in mm).

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Length and Length related Variables

Length can de defined as the measurement or extent of physical quantities or objects from one terminal to another terminal. Stone age humans used finger length, step length, and so on to measure the size or displacement of an object. Nowadays, depending on how precise the measurement requires to be and the object’s size is measured, we use measuring devices for measurements like rulers and steel tape. Most people have used a ruler or tape measure to measure a particular distance or the size of an object. For more precise measurements of tiny objects, the development of measurement tools such as the Vernier caliper, which permits us to measure dimensions within 1/1000 of an inch. In the last few decades, electronic distance measuring instruments (EDMI) have been implemented that permit us to measure distances from a few feet to many miles with reasonable accuracy.