Engineering Mechanics: Statics
8th Edition
ISBN: 9781118807330
Author: James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher: WILEY
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Give the following problem a try. If you get stuck, here is one way to work it: Essential Solution Video.
For the shape shown, a = 4 in., b = 28 in., and d = 16 in. Calculate the vertical distance from point H to the z centroidal axis.
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Answer:
y = i
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Calculate the centroid for the shaded portion of the figure as shown. Take b = 100 mm, b1=60 mm, b2 = 30 mm, h= 85 mm,
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h1=42.5 mm and R= 12 mm
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Radius R
( Solve the problem in a paper and upload the file in a separate link provided. Also Enter only the values in the boxes below.)
The Centroid X in mm is
The Centroid Y in mm is
Calculate the centroid for the shaded portion of the figure as shown . Take b = 115 mm,
b1=75 mm, b2 = 37.5 mm, h= 85 mm, h1=42.5 mm and R= 18 mm
-b1
hi
b2
Radius R
( Solve the problem in a paper and upload the file in a separate link provided. Also Enter
only the values in the boxes below.)
The Centroid X in mm is
The Centroid Y in mm is
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- Problems 5-117 through 5-122 Figures P5-117 through P5–122 show completed bending moment diagrams for beams. Develop the shearing force dia- gram and the loading diagram for each beamarrow_forwardCalculate the centroid for the shaded portion of the figure as shown. Take b = 100 mm, b,=60 mm, bz = 30 mm, h= 75 mm, h=37.5 mm and R= 10 mm Radius R b. (Solve the problem in a paper and upload the file in a separate link provided. Also Enter only the va ues in the boxes below) The Centroid X in mm is The Centroid Y in mm isarrow_forwardA triangular plate is supported by a ball and socketat point A, a roller at point B, and a rope at point C. Thedimensions are given along the line of AB. Determine thereactions at all supports and report your answers in cartesianvector form. Free Body Diagram.arrow_forward
- The composite shape in Question5 consists of a (1) square, (2) isoscelestriangle. The shape also has a hole in the form of (3) circle.a. Determine the x and y centroids of each shape based on the given axis.b. Determine the x and y centroids of the composite shape based on the given axis.c. Determine the first moment of area with respect to x axis of the composite shapearrow_forwardConsider the triangle formed by the connect- ing rod and the crank of an IC engine as the two sides of the triangle. If the maximum area of this triangle occurs when the crank angle is 80°, the ratio of connecting rod length to crank radius isarrow_forwardQ5: Find the centroid of shaded part which is given in the figure below. 7:1 B=0 C = 2 D=5 3D.B m (2D.C)/2 m (2D.C)/2 m (2D.C)/2 m (2D.C)/2 m Radius of Circle: 4D.A m 1A.D marrow_forward
- Find the z coordinate of the centroid for the given figure. 3 in. 3 in. 1; in. radius 2 in. radius 7 in. 2 inarrow_forwardFind the position of centroid with respect to given X and Y axis of shaded portion in the following figure:arrow_forwardQ2: A triangular pyramid of side 15 mm and axis height of 24mm is resting on the top of a pentagonal prism of base edge 28mm and height of 50mm centrally. Draw the Isometric view of these solids? Q3: A cube of edge 24mm is resting on the top of a frustum of cone of base diameter 60mm and top diameter of 4Omm with axis height of 72mm. Draw the isometric view of these solids?arrow_forward
- The composite shape in Question 5 consists of a (1) square, (2) isosceles triangle. The shape also has a hole in the form of (3) circle.a. Determine the x and y centroids of each shape based on the given axis.b. Determine the x and y centroids of the composite shape based on the given axis.c. Determine the first moment of area with respect to x axis of the composite shaped. Determine the first moment of area with respect to y axis of the composite shapee. Determine the polar moment of inertia of each shape with respect to the origin.f. Determine the polar moment of inertia of composite shape with respect to the origin.arrow_forwardFind the location of centroid for the plane area shown in the figure with respect to x-y coordinate system Hint: you can construct table.arrow_forwardFor the beam I-section below, calculate the second moment of area about its centroidal x-axis (Ixxcentroid), where b1 = 10.50 mm, b2 = 2.50 mm, b3 = 38.50 mm, d1 = 1.50 mm, d2 = 36.50 mm and d3 = 12.50 mm. Give your answer in mm4 to two decimal places.arrow_forward
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