4. The beam shown in the figure is a cantilever beam supported at the left end by a fixed support and loaded as shown. The load P = 20 kN. (a) Draw the shear and bending moment diagrams and determine their maximum absolute values. On the diagram show all the critical values of V and M. Show max and min values, slopes and locations where they cross the x axis. If you just draw a diagram without justification, you will get no credit. (b) For 0 < z< 2 m, derive equations for V and M as functions of z where r is measured from the left hand support. D -2 m *-15m 1.5m

4. The beam shown in the figure is a cantilever beam supported at the left end by a fixed support and loaded as shown. The load P = 20 kN. (a) Draw the shear and bending moment diagrams and determine their maximum absolute values. On the diagram show all the critical values of V and M. Show max and min values, slopes and locations where they cross the x axis. If you just draw a diagram without justification, you will get no credit. (b) For 0 < z< 2 m, derive equations for V and M as functions of z where r is measured from the left hand support. D -2 m *-15m 1.5m

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

4. The beam shown in the figure is a cantilever beam supported at the left end by a fixed
support and loaded as shown. The load P = 20 kN.
(a) Draw the shear and bending moment diagrams and determine their maximum
absolute values. On the diagram show all the critical values of V and M. Show
max and min values, slopes and locations where they cross the x axis. If you
just draw a diagram without justification, you will get no credit.
(b) For 0 < r < 2m, derive equations for V and M as functions of ¤ where ¤ is
measured from the left hand support.
Ile
.D
2 m
-1-5m-
1.5m->

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