For the superstructure of the bridge shown below, calculate the influence line function for moment in a section located 20 m from end A. Based on that function, calculate the bending moment in that section for the load train shown below

For the superstructure of the bridge shown below, calculate the influence line function for moment in a section located 20 m from end A. Based on that function, calculate the bending moment in that section for the load train shown below

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Related questions

Q: Calculate the value and directions of the reactions Calculate and draw the shear force diagram…

A: ∑ MA=0, 6×3.5×3.52-10×5.5×20×5.5-VF×4.5=0 VF=24.28 KN ↑ ∑ V=0;…

Q: 1. For the beam shown in the figure below, draw the influence lines for R, Re, Re, Va and Ma and…

A: NOTE: As per our guideline, we are advised to solve only three subparts of a question. Kindly repost…

Q: An 8-meter long horizontal beam is supported to the left end by a fixed support and supported to the…

Q: 30kN 6kN/m 5kN/m 1m 3m 3m 3m G2 3m 4m D А

Q: A 6 meter propped beam is loaded with triangular load which varies from zero at the fixed to 40 kN/m…

Q: 1/4 A 31/4 B

Q: SITUATION 4: The beam shown in the figure carries a triangular load of 12 kN per meter at A to zero…

Q: Using the equilibrium method (write equations), draw the influence lines for the following response…

Q: A simply supported beam has a span length of 17 meters. It carries a uniformly distributed load of…

Q: A continuous beam ABC carries concentrated moments at D and E as shown below. The moment produced at…

Q: A bridge truss shown in Figure Q1(b) is subjected to a vertical unit load moving trom points D to L.…

A: Answer:-

Q: D 2m

A: Sign convention used for ILD:Influence line for reaction is positive if the reaction acts upwards.…

Q: (c). A uniformly distributed load of 2000 kg/m, 6 m long cross over a simply supported girder of…

Q: 5kN/m 6m 2m

Q: A girder of a highway bridge has a total span length of 15 meters, overhangs 2.5 meters from the…

Q: B 2m 2m

A: Sign convention used for ILD:Influence line for reaction is positive if the reaction acts upwards.…

Q: C D 6 m 1.5 m 7.5 m Figure 1 I TITT 89 kN 133.5 133.5 133.5 133.5 3 m 1.5 m, 1.5 mL1.5 m

Q: Cross-sectional influence diagrams (N, T, M) of the carrier system whose loading status is given in…

A: As per the question we need to draw the cross sectional influence line diagram. so for drawing the…

Q: For the overhanging beam shown in figure, the magnitude or maximum bending moment (in kN-m) is_ 10…

A: Calculate the maximum bending moment of beam???

Q: The barrier shown between two water tanks of unit width (I m) into the plane of the screen is…

A: Given: The figure is given below, The density of water is 1000 kg/m3. The acceleration due to…

Q: An aluminum pole for a street light weighs 4,500 N and supports an arm that weighs 620 N (see…

Q: prising of a single point load of : on the influence line for maxim. nitude of the maximum absolute

Q: Draw the Influence Line Diagrams for Shear at point C for the beam shown below. Plot the values at 1…

A: Influence Line diagrams represents the changing value of the reactions, shear force and bending…

Q: An 8-meter long horizontal beam is supported to the left end by a fixed support and supported to the…

A: To find the maximum bending moment in the beam

Q: 1200 N 800 N/m 8m The vertical support reaction at fixed support 1:7600 N 2:5000 N 3:4000 N 4:0 N

Q: 100 kN 100 kN 25 kN B 18 3 5 m 6 m Z m

Q: The 18m long simply supported beam support the distributed load as shown in the image. Use the…

A: Calculate the reaction supports and moments at the supprts.

Q: For each beam, sketch the influence line for the vertical reaction at A. A 1. 2. 3. B 4.

A: i have used here muller Breslaw principle to draw ild for easy calculations

Q: The bar system given in the figure above, (between AB: 1m / BC between: 3m / CD: 2m) a) Show the…

Q: Two loads of 15 kN and 32 kN (leading) spaced 6 m apart moving left to right on an over hanging beam…

Q: An 8-meter long horizontal beam is supported to the left end by a fixed support and supported to the…

Q: 3. Construct the influence line for the shear at point C of the beam: 4 m 10 m

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

A
12.5 m
7.5 m
P₁=20 T
5m
P₂=15 T
35 m
P3=5 T
B

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1: Introduction and given data

VIEW

Step 2: Calculation

VIEW

Step 3: Final answer

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, civil-engineering and related others by exploring similar questions and additional content below.

Similar questions

Use Müller-Breslau's principle to construct the following influence lines. Calculate and label the ordinates of the influence lines. 1) Vertical reaction force at supports A 2) Vertical reaction force at support B 3) Internal moment at location E Determine the maximum negative moments at point E due to a set of combined loading, which includes a concentrated live load of 35 kN, a uniformly distributed live load of 6 kN/m, and a uniformly distributed dead load of 15 kN/m. A 12 m B 6 m hinge 6m D E 6m-6m F
The railway crossing gate consists of the 100 kg gate arm having a center of mass at Ga and the 250 kg counterweight having a center of mass at Gw. Ga 2.5 m 0.75 m Determine the magnitude and directional sense of the resultant moment produced by the weights about point A. Gw 1 m 0.5 m H 0.25 m
A simply supported beam is 10m long. It has an overhang of 2m at the right end. A highway load comprising of a single point load of 150kN and a uniform load of 80 kN/m passes over the beam. Based on the influence line for maximum bending moment at the midspan, calculate for the magnitude of the maximum absolute bending moment produced on the beam, in kN-m. No need to input the sign and units. Just the numerical value of your answer to the nearest whole number.
Draw the Influence Line Diagrams for Moment at point D for the beam shownin Figure. Plot the values at 1 m interval.
Draw the influence line diagrams for vertical reactions at supports B and C of the indeterminate beam as shown in Figure 4. El is constant. Plot numerical values at every 2 m. A + 2 m B 6 m с
Draw the Influence Line Diagrams for Shear at point C for the beam shown below. Plot the values at 1 m interval.
A fixed beam of constant section carries a load transferred from a rigid bracket as shown in figure. Find the bending moment and reactions at the fixed ends and plot S.F.D. and B.M.D. 60 KN 9m 1 12m- H 0.6 m
For the beam shown below, construct the Influence diagrams of the following functions: reaction at F, reaction at D and the moment at E. Also calculate the value of the maximum moment at C due to a concentrated load with a magnitude of P (your assigned P). A 1.0 78 minim 3.0 3.0 с D mm E All distances are in meters 2.0 the 4.0 3.0 F M mum
Problem 5.2