**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.
**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.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
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)
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