**Problem Statement:** Consider the beam illustrated in the figure below. You are required to draw the influence lines for \( R_a \), \( R_c \), \( R_e \), \( V_b \), and \( M_b \), and determine the following maximum responses due to: - A concentrated live load of \( "a" \) kN, - A uniformly distributed live load of \( "b" \) kN/m, - A uniformly distributed dead load of \( "c" \) kN/m. **Tasks:** a. Calculate the maximum upward reaction at point A in kN. If there is no upward reaction, indicate with "0". b. Calculate the maximum upward reaction at point C in kN. If there is no upward reaction, indicate with "0". c. Calculate the maximum upward reaction at point E in kN. If there is no upward reaction, indicate with "0". d. Determine the maximum negative shear at point B in kN. If no negative shear occurs, indicate with "0". e. Determine the maximum positive moment at point B in kN-m. If there is no positive moment, indicate with "0". **Beam Diagram Explanation:** - The beam is supported at three points: A, C, and E, with intermediate points B and D marked. - The beam extends horizontally with the following segment lengths: - \( AB = 2 \) m - \( BC = 4.5 \) m - \( CD = 2 \) m - \( DE = 3 \) m - \( EF = 1.5 \) m Support symbols indicate that points A, C, and E provide vertical reactions to loads applied to the beam. The dot at point D indicates a hinge or a point of interest but not a support. Ensure proper calculations and clear graphical representation of influence lines for precise analysis and understanding.

Structural Analysis
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ISBN:9781337630931
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Chapter2: Loads On Structures
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Determine the maximum upward reaction at E in kN a= 45 kN (concentrated load) b= 50 kN/m (uniformly distributed live load) c= 23 kN/m (uniformly distributed dead load)
**Problem Statement:**

Consider the beam illustrated in the figure below. You are required to draw the influence lines for \( R_a \), \( R_c \), \( R_e \), \( V_b \), and \( M_b \), and determine the following maximum responses due to:
- A concentrated live load of \( "a" \) kN,
- A uniformly distributed live load of \( "b" \) kN/m,
- A uniformly distributed dead load of \( "c" \) kN/m.

**Tasks:**

a. Calculate the maximum upward reaction at point A in kN. If there is no upward reaction, indicate with "0".

b. Calculate the maximum upward reaction at point C in kN. If there is no upward reaction, indicate with "0".

c. Calculate the maximum upward reaction at point E in kN. If there is no upward reaction, indicate with "0".

d. Determine the maximum negative shear at point B in kN. If no negative shear occurs, indicate with "0".

e. Determine the maximum positive moment at point B in kN-m. If there is no positive moment, indicate with "0".

**Beam Diagram Explanation:**

- The beam is supported at three points: A, C, and E, with intermediate points B and D marked.
- The beam extends horizontally with the following segment lengths:
  - \( AB = 2 \) m
  - \( BC = 4.5 \) m
  - \( CD = 2 \) m
  - \( DE = 3 \) m
  - \( EF = 1.5 \) m

Support symbols indicate that points A, C, and E provide vertical reactions to loads applied to the beam. The dot at point D indicates a hinge or a point of interest but not a support. 

Ensure proper calculations and clear graphical representation of influence lines for precise analysis and understanding.
Transcribed Image Text:**Problem Statement:** Consider the beam illustrated in the figure below. You are required to draw the influence lines for \( R_a \), \( R_c \), \( R_e \), \( V_b \), and \( M_b \), and determine the following maximum responses due to: - A concentrated live load of \( "a" \) kN, - A uniformly distributed live load of \( "b" \) kN/m, - A uniformly distributed dead load of \( "c" \) kN/m. **Tasks:** a. Calculate the maximum upward reaction at point A in kN. If there is no upward reaction, indicate with "0". b. Calculate the maximum upward reaction at point C in kN. If there is no upward reaction, indicate with "0". c. Calculate the maximum upward reaction at point E in kN. If there is no upward reaction, indicate with "0". d. Determine the maximum negative shear at point B in kN. If no negative shear occurs, indicate with "0". e. Determine the maximum positive moment at point B in kN-m. If there is no positive moment, indicate with "0". **Beam Diagram Explanation:** - The beam is supported at three points: A, C, and E, with intermediate points B and D marked. - The beam extends horizontally with the following segment lengths: - \( AB = 2 \) m - \( BC = 4.5 \) m - \( CD = 2 \) m - \( DE = 3 \) m - \( EF = 1.5 \) m Support symbols indicate that points A, C, and E provide vertical reactions to loads applied to the beam. The dot at point D indicates a hinge or a point of interest but not a support. Ensure proper calculations and clear graphical representation of influence lines for precise analysis and understanding.
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