Question

A beam of uniform cross-section (20 cm x 40 cm) is embedded in a rigid wall and loaded by a symmetric, triangular distributed load as shown in the following figure. (1) Draw the FBD of the loaded beam. Show all the forces and moments (do not calculate the unknow support forces). (2) Using force and moment equilibrium, determine the end reactions at point A, show your steps. (3) What is the total applied force on the beam? (4) Using method of sectioning, determine the internal shear force and moment at section a-a, 0.5 m from end A. (5) Using results of part (1) and (2), construct the shear force and moment diagrams for the loaded beam. (If you don't know how to do this, leave it) (6) Determine the area moment of inertia of the cross-section of the beam about its centroidal line x-x.

          A beam of uniform cross-section (20 cm x 40 cm) is embedded in a rigid wall and loaded by a
symmetric, triangular distributed load as shown in the following figure.
(1) Draw the FBD of the loaded beam. Show all the forces and moments (do not calculate
the unknow support forces).
(2) Using force and moment equilibrium, determine the end reactions at point A, show
your steps.
(3) What is the total applied force on the beam?
(4) Using method of sectioning, determine the internal shear force and moment at
section a-a, 0.5 m from end A.
(5) Using results of part (1) and (2), construct the shear force and moment diagrams for
the loaded beam. (If you don't know how to do this, leave it)
(6) Determine the area moment of inertia of the cross-section of the beam about its
centroidal line x-x.

A beam of uniform cross-section (20 cm x 40 cm) is embedded in a rigid wall and loaded by a
symmetric, triangular distributed load as shown in the following figure.
(1) Draw the FBD of the loaded beam. Show all the forces and moments (do not calculate
the unknow support forces).
(2) Using force and moment equilibrium, determine the end reactions at point A, show
your steps.
(3) What is the total applied force on the beam?
(4) Using method of sectioning, determine the internal shear force and moment at
section a-a, 0.5 m from end A.
(5) Using results of part (1) and (2), construct the shear force and moment diagrams for
the loaded beam. (If you don't know how to do this, leave it)
(6) Determine the area moment of inertia of the cross-section of the beam about its
centroidal line x-x.

Added by Natalia C.

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