Complete the solution with figures. Please follow the proper format.Express your intermediate answers with at least FOUR decimal places and simplify your FINAL answers up to TWO DECIMAL PLACES. BOX your FINAL ANSWERS 1. The beam is loaded as shown below:a. Draw the influence lines for the reaction at A, moment reaction at A, shear and momentat B. Place all important ordinates and dimensions in the sketch.b. Assuming that the span can be loaded with a moving unform load of 8.5 kN/m andmoving concentrated load of 56 kN, find the maximum shear at D and maximumbending moment at D due to these loads.3mABD25 kN/m5 m2 m2. The beam is loaded as shown below:a. Sketch the influence lines for reactions at B, D, and F of the beam and the shear andmoment at E.b. Assuming that the span can be loaded with a moving unform load of 1.2 kips/ft,determine the maximum positive and negative values of the reactions.AF8'сhinge●)B2 mBDE|--4--4' +4²- 4' A 4'3. Using the influence lines, draw the detailed influence lines of shear and moment at themidpoint of the beam. Determine the shear and moment magnitudes at the midpoint as well.EO2m5 mG12 kN/m.......

Answered: 2. The beam is loaded as shown below:…

2. The beam is loaded as shown below: a. Sketch the influence lines for reactions at B, D, and F of the beam and the shear and moment at E. ZCL

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

Complete the solution with figures. Please follow the proper format.
Express your intermediate answers with at least FOUR decimal places and simplify your FINAL answers up to TWO DECIMAL PLACES. BOX your FINAL ANSWERS

1. The beam is loaded as shown below:
a. Draw the influence lines for the reaction at A, moment reaction at A, shear and moment
at B. Place all important ordinates and dimensions in the sketch.
b. Assuming that the span can be loaded with a moving unform load of 8.5 kN/m and
moving concentrated load of 56 kN, find the maximum shear at D and maximum
bending moment at D due to these loads.
3m
A
B
D
25 kN/m
5 m
2 m
2. The beam is loaded as shown below:
a. Sketch the influence lines for reactions at B, D, and F of the beam and the shear and
moment at E.
b. Assuming that the span can be loaded with a moving unform load of 1.2 kips/ft,
determine the maximum positive and negative values of the reactions.
A
F
8'
с
hinge
●)
B
2 m
B
DE
|--4--
4' +4²- 4' A 4'
3. Using the influence lines, draw the detailed influence lines of shear and moment at the
midpoint of the beam. Determine the shear and moment magnitudes at the midpoint as well.
E
O
2m
5 m
G
12 kN/m
.......

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