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3. Draw a schematic of the standard convention for the meaning of positive shears and bending moments (see Section 8.2). Use your diagram to help you answer 4 And 5. 4. Determine the internal shear at a section passing through point D. 5. Determine the internal bending moment at a section passing through point. The answers should be according to the answer key-  4. VD = 2000 lb (up) 5. MD = 1556 N-m (clockwise)

3. Draw a schematic of the standard convention for the meaning of positive shears and bending moments (see Section 8.2). Use your diagram to help you answer 4 And 5. 4. Determine the internal shear at a section passing through point D. 5. Determine the internal bending moment at a section passing through point. The answers should be according to the answer key-  4. VD = 2000 lb (up) 5. MD = 1556 N-m (clockwise)

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
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3. Draw a schematic of the standard convention for the meaning of positive shears and bending moments (see Section 8.2). Use your diagram to help you answer 4 And 5.

4. Determine the internal shear at a section passing through point D.

5. Determine the internal bending moment at a section passing through point.

The answers should be according to the answer key- 

4. VD = 2000 lb (up)

5. MD = 1556 N-m (clockwise)

### Analyzing Beam Load Variations The diagram above represents a beam subjected to a linearly varying load. This load increases from 100 Newton per meter (N/m) at the left end (point A) to 200 N/m at the right end (point B). The beam itself is divided into three segments, marked by different supports and lengths. #### Beam Segmentation and Lengths - **Segment 1 (d1)**: The length of this segment is 12 meters. - **Segment 2 (d2)**: The length of this segment is 8 meters. - **Segment 3 (d3)**: The length of this segment is 4 meters. #### Load Distribution - The load varies uniformly across the length of the beam. - The load intensity starts at 100 N/m at point A and linearly increases to 200 N/m at point B. - The load distribution is depicted by red arrows pointing downward, indicating the direction of the applied load. These arrows increase in size from left to right, visually representing the increase in load magnitude. #### Supporting Points - **Point A**: The fixed end at the left, typically represented as a roller or pinned support. - **Point B**: The supported end at the right, indicating another form of support such as a roller or pinned support. - **Point D**: An intermediate point along the beam, possibly a point of interest for measuring internal reactions or deflections. #### Analytical Applications - The diagram can be used to determine bending moments, shear forces, and deflections at any point along the beam. The varying load introduces the necessity to integrate the load function to obtain these values. - This analysis is crucial for structural engineering applications to ensure that the beam can safely support the given loads without failing. By understanding how the load distribution and beam segmentation influence the structural integrity, students and engineers can design safer and more efficient structural elements.
Transcribed Image Text:### Analyzing Beam Load Variations The diagram above represents a beam subjected to a linearly varying load. This load increases from 100 Newton per meter (N/m) at the left end (point A) to 200 N/m at the right end (point B). The beam itself is divided into three segments, marked by different supports and lengths. #### Beam Segmentation and Lengths - **Segment 1 (d1)**: The length of this segment is 12 meters. - **Segment 2 (d2)**: The length of this segment is 8 meters. - **Segment 3 (d3)**: The length of this segment is 4 meters. #### Load Distribution - The load varies uniformly across the length of the beam. - The load intensity starts at 100 N/m at point A and linearly increases to 200 N/m at point B. - The load distribution is depicted by red arrows pointing downward, indicating the direction of the applied load. These arrows increase in size from left to right, visually representing the increase in load magnitude. #### Supporting Points - **Point A**: The fixed end at the left, typically represented as a roller or pinned support. - **Point B**: The supported end at the right, indicating another form of support such as a roller or pinned support. - **Point D**: An intermediate point along the beam, possibly a point of interest for measuring internal reactions or deflections. #### Analytical Applications - The diagram can be used to determine bending moments, shear forces, and deflections at any point along the beam. The varying load introduces the necessity to integrate the load function to obtain these values. - This analysis is crucial for structural engineering applications to ensure that the beam can safely support the given loads without failing. By understanding how the load distribution and beam segmentation influence the structural integrity, students and engineers can design safer and more efficient structural elements.
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