A beam is loaded with a uniformly distributed load between the two roller supports and a single load at the overhang.It also has two internal hinges - one midway between the fixed support and the first roller support and the othermidway between the two roller supports. Refer to the figure below for the magnitude of the loadings and dimensions.a) Draw the FBD of the beam and determine if the beam is statically determinate or indeterminate.75 kN/m100 KN12.5 m12.5 m7.5 m 7.5 m10 mb) If the beam is statically determinate, analyse it using the equilibrium equations. If the beam is staticallyindeterminate, analyse it using structural indeterminate methodologies such as setting up and solving the equationsof equilibrium, equations of compatibility, and force-displacement relations.1. Draw the FBD for each element of the beam and determine the axial forces, shear forces, and bendingmoments for each element.2. Once all forces and moments are calculated, draw the FBD of the whole beam with the calculated forces andmoments.3. Draw the shear force diagram for the beam. Ensure that you show all your calculations for the diagram,including the location of zero shear (uniformly distributed load).4. Draw the bending moment diagram for the beam. Ensure that you show all your calculations for the diagram.

Given:- To find:- 1. FBD and degree of determinacy 2. Shear forces and Bending Moment for each…

A beam is loaded with a uniformly distributed load between the two roller supports and a single load at the overhang. It also has two internal hinges - one midway between the fixed support and the first roller support and the other midway between the two roller supports. Refer to the figure below for the magnitude of the loadings and dimensions. a) Draw the FBD of the beam and determine if the beam is statically determinate or indeterminate.

A beam is loaded with a uniformly distributed load between the two roller supports and a single load at the overhang. It also has two internal hinges - one midway between the fixed support and the first roller support and the other midway between the two roller supports. Refer to the figure below for the magnitude of the loadings and dimensions. a) Draw the FBD of the beam and determine if the beam is statically determinate or indeterminate.

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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Concept explainers

System of Forces

A force is an external influence or agent that changes the state of a system. According to Newton's second law, the force applied to a body is proportional to the change in momentum of a body. Hence, whenever a force is applied to a body, its momentum changes. If the body is at rest, under the action of force, its state of rest changes to motion. In other words, the magnitude of the momentum of the body changes from zero to a measurable value. Similarly, if the body possesses some initial velocity, it has some associated momentum, the effect of force can cause the body to halt or come to rest, that is, the momentum reduces to zero.

Question

A beam is loaded with a uniformly distributed load between the two roller supports and a single load at the overhang.
It also has two internal hinges - one midway between the fixed support and the first roller support and the other
midway between the two roller supports. Refer to the figure below for the magnitude of the loadings and dimensions.
a) Draw the FBD of the beam and determine if the beam is statically determinate or indeterminate.
75 kN/m
100 KN
12.5 m
12.5 m
7.5 m 7.5 m
10 m
b) If the beam is statically determinate, analyse it using the equilibrium equations. If the beam is statically
indeterminate, analyse it using structural indeterminate methodologies such as setting up and solving the equations
of equilibrium, equations of compatibility, and force-displacement relations.
1. Draw the FBD for each element of the beam and determine the axial forces, shear forces, and bending
moments for each element.
2. Once all forces and moments are calculated, draw the FBD of the whole beam with the calculated forces and
moments.
3. Draw the shear force diagram for the beam. Ensure that you show all your calculations for the diagram,
including the location of zero shear (uniformly distributed load).
4. Draw the bending moment diagram for the beam. Ensure that you show all your calculations for the diagram.

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