The beam is used to support a dead load of 2 k/ft, a live load of 2 k/ft, and a concentrated live load of 52 k. 1. Draw the influence lines for reaction at A. Use analytical method (tabulated values or influence line equation method) in solving for the coordinates of the influence lines. 2. Determine the maximum positive (upward) reaction at A. 3. Draw the influence lines for the moment at C. Use analytical method (tabulated values or influence line equation method) in solving for the coordinates of the influence lines.

The beam is used to support a dead load of 2 k/ft, a live load of 2 k/ft, and a concentrated live load of 52 k. 1. Draw the influence lines for reaction at A. Use analytical method (tabulated values or influence line equation method) in solving for the coordinates of the influence lines. 2. Determine the maximum positive (upward) reaction at A. 3. Draw the influence lines for the moment at C. Use analytical method (tabulated values or influence line equation method) in solving for the coordinates of the influence lines.

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

Influence Lines

The graphs that show the variation of a function at a specific point on a beam or truss due to a unit load placed at any point along the structure are known as influence lines in engineering. Some common functions that are studied with influence lines are shear, moment, and deflection. In designing beams and trusses, it is important to use influence lines in structures where loads would move along their span such as bridges, crane rails, conveyor belts, floor girders, etc. The influence lines help to study where a load will create the maximum effect for any of the functions.

Question

The beam is used to support a dead load of 2 k/ft, a live load of 2 k/ft, and a
concentrated live load of 52 k.
1. Draw the influence lines for reaction at A. Use analytical method (tabulated values or
influence line equation method) in solving for the coordinates of the influence lines.
2. Determine the maximum positive (upward) reaction at A.
3. Draw the influence lines for the moment at C. Use analytical method (tabulated
values or influence line equation method) in solving for the coordinates of the influence
lines.
4. Determine the maximum positive moment at C
5. Draw the influence lines for the shear just to the right of the support at A. Use
analytical method (tabulated values or influence line equation method) in solving for the
coordinates of the influence lines.
6. Determine the maximum positive shear just to the right of the support at A.
Assume the support at A is a pin and B is a roller.
10 ft-
A
10 ft
C
10 ft-
B
3 ft

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