1. For the beam and loading shown and knowing that the distributed load w can be expressed as a function of x, w=kx2, determine: a) The value of k so that the distributed load at point A is 400 lb/ft and at point B is 100 lb/ft. (Hint: x axis along beam ACB with the origin at C) b) The magnitude and location of the resultant of the distributed load using the integration approach. d) The reactions at the beam supports. 400 lb/ft A 12 ft Parabola -6 ft- 100 lb/ft B

1. For the beam and loading shown and knowing that the distributed load w can be expressed as a function of x, w=kx2, determine: a) The value of k so that the distributed load at point A is 400 lb/ft and at point B is 100 lb/ft. (Hint: x axis along beam ACB with the origin at C) b) The magnitude and location of the resultant of the distributed load using the integration approach. d) The reactions at the beam supports. 400 lb/ft A 12 ft Parabola -6 ft- 100 lb/ft B

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

Equilibrium and Support Reactions

Civil engineers deal with structures that are composed of several members connected or with individual members such as beams and columns. To analyze such structures, the condition of statics must be applied. Under the static condition, the members are considered to be in equilibrium under the action of forces, that is, the members are assumed to be having negligible velocity.

Question

Please solve a) b) nd d)

1.
For the beam and loading shown and knowing that the distributed load w can
be expressed as a function of x, w=kx², determine:
a) The value of k so that the distributed load at point A is 400 lb/ft and at point B is 100
lb/ft. (Hint: x axis along beam ACB with the origin at C)
b) The magnitude and location of the resultant of the distributed load using the integration
approach.
d) The reactions at the beam supports.
400 lb/ft
A
Parabola
in A4
B
12 ft
-6 ft-
100 lb/ft

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