3) A load of 2,700 N acts on the machine part shown below. The machine part has a uniform thickness of 12 mm. Note: Point H will not be used in this problem and may be disregarded. a) Draw an FBD at showing the internal forces present at K. You may choose which side of the part to cut off. One method means you must find reactions at A and B. Choose the method that seems easier to you. b) Calculate the normal and shear stresses at point K (in MPa). [Ans. to check: = 0; ay = -10.89 MPa; Txy=-6.85 MPa] c) Draw the stress element at the point located at K. d) Calculate the normal and shear stresses if you rotate the element -20°. Draw a properly oriented stress element. 2,700 N 135 mm 60° C 50 mm 75 mm 50 mm X 40 mm 15 mm # 12 mm PH 40 mm OK y

Residential Construction Academy: House Wiring (MindTap Course List)
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### Problem Statement

3) A load of 2,700 N acts on the machine part shown below. The machine part has a uniform thickness of 12 mm. **Note:** Point H will not be used in this problem and may be disregarded.

a) Draw a Free Body Diagram (FBD) showing the internal forces present at K. You may choose which side of the part to cut off. One method means you must find reactions at A and B. Choose the method that seems easier to you.

b) Calculate the normal and shear stresses at point K (in MPa). 
   - **[Answers to check: \( \sigma_x = 0; \, \sigma_y = -10.89 \, \text{MPa}; \, \tau_{xy} = -6.85 \, \text{MPa}]**

c) Draw the stress element at the point located at K.

d) Calculate the normal and shear stresses if you rotate the element -20°. Draw a properly oriented stress element.

### Diagram Description

- The first part of the diagram is a side view showing a machine component subjected to a 2,700 N force at a 60° angle.
- The structure has several key points and dimensions:
  - Point K is located 75 mm above the base point B along the y-axis.
  - Point B is 50 mm to the right of the starting edge along the x-axis.
  - A horizontal segment from point A to point B measures 135 mm, with point A being the base support on the left.
  - The corner top part is 15 mm wide and 40 mm high.
- A close-up view shows the width of the material as 40 mm at the corner where point K is located.
- The width of the entire structure is uniformly 12 mm.
Transcribed Image Text:### Problem Statement 3) A load of 2,700 N acts on the machine part shown below. The machine part has a uniform thickness of 12 mm. **Note:** Point H will not be used in this problem and may be disregarded. a) Draw a Free Body Diagram (FBD) showing the internal forces present at K. You may choose which side of the part to cut off. One method means you must find reactions at A and B. Choose the method that seems easier to you. b) Calculate the normal and shear stresses at point K (in MPa). - **[Answers to check: \( \sigma_x = 0; \, \sigma_y = -10.89 \, \text{MPa}; \, \tau_{xy} = -6.85 \, \text{MPa}]** c) Draw the stress element at the point located at K. d) Calculate the normal and shear stresses if you rotate the element -20°. Draw a properly oriented stress element. ### Diagram Description - The first part of the diagram is a side view showing a machine component subjected to a 2,700 N force at a 60° angle. - The structure has several key points and dimensions: - Point K is located 75 mm above the base point B along the y-axis. - Point B is 50 mm to the right of the starting edge along the x-axis. - A horizontal segment from point A to point B measures 135 mm, with point A being the base support on the left. - The corner top part is 15 mm wide and 40 mm high. - A close-up view shows the width of the material as 40 mm at the corner where point K is located. - The width of the entire structure is uniformly 12 mm.
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