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1 a.) V 3 Tiok A 9' B Find the reactions. Draw and label the V and M diagrams. Fill in the blanks. Write the equations for q, V, and M in the ak region 6

1 a.) V 3 Tiok A 9' B Find the reactions. Draw and label the V and M diagrams. Fill in the blanks. Write the equations for q, V, and M in the ak region 6

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Please fill in the blanks and answer what Ay by wean vean newborn and mmax are please
### Problem 1a: Beam Analysis **Objective:** Find the reactions at supports, draw and label the Shear Force (V) and Bending Moment (M) diagrams. Fill in the blanks and write the equations for \(q\), \(V\), and \(M\) in the region \(6 < x < 15\). Also, find the maximum positive bending moment in that same region. **Given:** - A simply supported beam with a length of 28 feet. - A triangular distributed load of 5 kips over the first 6 feet. - A uniform distributed load of 2 kips/ft over the next 6 feet. - A point load of 12 kips at the right end of the beam. - Reaction forces at the supports A and B at both ends of the beam are unknown. ### Step-by-Step Solution: 1. **Determination of Reaction Forces:** Using equilibrium equations: - Equilibrium of forces in the vertical direction. - Summation of moments around one of the supports to solve for the unknown reactions. 2. **Shear Force (V) Diagram:** - Plotting the shear force along the length of the beam. - The shear force changes its value at points where loads are applied or where the type of load changes. 3. **Bending Moment (M) Diagram:** - Plotting the internal moment along the length of the beam. - The moment diagram will show the bending moments induced by the loads. 4. **Equations for \(q\), \(V\), and \(M\) in the region \(6 < x < 15\):** - \(q_{eqn}\): Equation for distributed load, if applicable in the specified region. - \(V_{eqn}\): Shear force equation along the length of the beam. - \(M_{eqn}\): Bending moment equation along the length of the beam. 5. **Maximum Positive Bending Moment:** - Determining the maximum value of the bending moment in the specified region. ### Calculation Template: - Find: - \(A_y =\) - \(B_y =\) - \(6 < x < 15\) - \(q_{eqn} =\) - \(V_{eqn} =\) - \(M_{eqn} =
Transcribed Image Text:### Problem 1a: Beam Analysis **Objective:** Find the reactions at supports, draw and label the Shear Force (V) and Bending Moment (M) diagrams. Fill in the blanks and write the equations for \(q\), \(V\), and \(M\) in the region \(6 < x < 15\). Also, find the maximum positive bending moment in that same region. **Given:** - A simply supported beam with a length of 28 feet. - A triangular distributed load of 5 kips over the first 6 feet. - A uniform distributed load of 2 kips/ft over the next 6 feet. - A point load of 12 kips at the right end of the beam. - Reaction forces at the supports A and B at both ends of the beam are unknown. ### Step-by-Step Solution: 1. **Determination of Reaction Forces:** Using equilibrium equations: - Equilibrium of forces in the vertical direction. - Summation of moments around one of the supports to solve for the unknown reactions. 2. **Shear Force (V) Diagram:** - Plotting the shear force along the length of the beam. - The shear force changes its value at points where loads are applied or where the type of load changes. 3. **Bending Moment (M) Diagram:** - Plotting the internal moment along the length of the beam. - The moment diagram will show the bending moments induced by the loads. 4. **Equations for \(q\), \(V\), and \(M\) in the region \(6 < x < 15\):** - \(q_{eqn}\): Equation for distributed load, if applicable in the specified region. - \(V_{eqn}\): Shear force equation along the length of the beam. - \(M_{eqn}\): Bending moment equation along the length of the beam. 5. **Maximum Positive Bending Moment:** - Determining the maximum value of the bending moment in the specified region. ### Calculation Template: - Find: - \(A_y =\) - \(B_y =\) - \(6 < x < 15\) - \(q_{eqn} =\) - \(V_{eqn} =\) - \(M_{eqn} =
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