The beam is loaded as shown in the figure. The supporta at A is pin, and B is roller. Determine the following: A a. Determine the support and pin reactions of the beam shown below. b. Sketch its shear and moment diagrams. c. Determine the value and location of maximum shear and moment of the beam. Hinge -10 m D B --5 m- C 25 kN/m -15 m- D E -+-5m-+-+- Hinge -10 m-

The beam is loaded as shown in the figure. The supporta at A is pin, and B is roller. Determine the following: A a. Determine the support and pin reactions of the beam shown below. b. Sketch its shear and moment diagrams. c. Determine the value and location of maximum shear and moment of the beam. Hinge -10 m D B --5 m- C 25 kN/m -15 m- D E -+-5m-+-+- Hinge -10 m-

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

provide solutions using the two methods (shear & moment functions and using beam loads)

Instruction: Express your intermediate answers with at least FOUR decimal places and simplify your
FINAL answers up to TWO DECIMAL PLACES. BOX your FINAL ANSWERS.
The beam is loaded as shown in the figure. The supporta at A is pin, and B is roller. Determine the
following:
a. Determine the support and pin reactions of the beam shown below.
b. Sketch its shear and moment diagrams.
c. Determine the value and location of maximum shear and moment of the beam.
Hinge
-10 m
B
-+-+-5m-+-
25 kN/m
-15 m
D
E
-+-5m--+-+-
Hinge
-10 m-
F

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