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1) Determine the internal normal force at point E in the overhang beam. Point D is
located just to the left of the roller support at B, where the couple moment acts.

2) Determine the internal shear force at point E in the overhang beam shown above.

3) Determine the internal bending moment at point E in the overhang beam shown a

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To determine the internal normal force, shear force, and bending moment at point E in the overhang beam, you will need to analyze the beam using the principles of statics. Here are the steps to follow:

Step 1: Draw a free-body diagram of the beam
Begin by creating a diagram that shows all the external forces acting on the beam. This includes any applied loads, reactions at supports, and any distributed loads. Make sure to label each force and indicate their direction.

Step 2: Establish equilibrium equations
Write the equations for static equilibrium based on the free-body diagram. The equilibrium equations are ΣFx = 0, ΣFy = 0, and ΣM = 0, where ΣFx represents the sum of forces in the x direction, ΣFy represents the sum of forces in the y direction, and ΣM represents the sum of moments about a point.

Step 3: Calculate reactions at supports
Using the equilibrium equations, determine the reactions at the supports. In this specific case, you mentioned there is a roller support at B and a couple moment acting just to the left of it at point D. Determine the reaction forces at B caused by these external forces.

Step 4: Determine the internal forces at point E
To find the internal normal force, shear force, and bending moment at point E, you will need to use the equilibrium equations and the concept of static equilibrium. The internal normal force can be obtained by taking a section cut just to the left or right of point E and applying equilibrium equations on that section. The internal shear force can be found by summing up the external vertical forces to the left or right of point E. The internal bending moment can be found by summing up the external moments to the left or right of point E.

Note: Depending on the specific loading and support conditions, the equations and methods used to analyze the beam may vary. It's important to carefully consider the problem statement and apply the appropriate theory and equations.