Example - Equation approach

Example - Equation approach

example - equation approach

Draw the shear force and bending moment diagrams for beam AB using the equation approach.

Draw the shear force and bending moment diagrams for beam AB using the equation approach.

Click below to show answer. X

Step 1:
Draw FBD of beam and solve for reaction forces

Step 1:
Draw FBD of beam and solve for reaction forces

Shear Force and Bending Moment Diagrams solution step - equation approach 1

Step 2:
Determine the number of section cuts required to draw the SF and BM diagrams

Step 2:
Determine the number of section cuts required to draw the SF and BM diagrams

Shear Force and Bending Moment Diagrams solution step - equation approach 2

Step 3:
Draw FBD for each section cut and solve for SF & BM equations

Step 3:
Draw FBD for each section cut and solve for SF & BM equations

Shear Force and Bending Moment Diagrams solution step - equation approach 3

Step 4:
Construct SF & BM diagrams

Step 4:
Construct SF & BM diagrams

Shear Force and Bending Moment Diagrams solution step - equation approach 4

Useful formula:

Useful formula:

Shear Force and Bending Moment Diagrams formula

Now that you've mastered this question, you can try Example - Direct method.