Homework Help is Here – Start Your Trial Now!
Engineering
Mechanical Engineering
Bridges are usually modeled as simply supported beams. Your role in a building and construct company is to analyse and design the bridge based on simply supported beam theory. Your mana asked you to perform a stress analysis for bridge element modelled as simply supported beam show the Figure. 1(a), this task is best achieved by performing the following required steps:

Bridges are usually modeled as simply supported beams. Your role in a building and construct company is to analyse and design the bridge based on simply supported beam theory. Your mana asked you to perform a stress analysis for bridge element modelled as simply supported beam show the Figure. 1(a), this task is best achieved by performing the following required steps:

Elements Of Electromagnetics
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
See similar textbooks
icon
Related questions
Question
Bridges are usually modeled as simply supported beams. Your role in a building and construction company is to analyse and design the bridge based on simply supported beam theory. Your manager asked you to perform a stress analysis for bridge element modelled as simply supported beam shown in the Figure.1(a), this task is best achieved by performing the following required steps: 2 kN 3 kN/m 3 kN/m 3kN.m A 0.5 kN 4.5 kN kN 2 m 1 т+1m- 2 m R| -2 m (а) (b) Figure.1: (a) Bridge element modelled as simply supported beam (b) Beam section
Transcribed Image Text:Bridges are usually modeled as simply supported beams. Your role in a building and construction company is to analyse and design the bridge based on simply supported beam theory. Your manager asked you to perform a stress analysis for bridge element modelled as simply supported beam shown in the Figure.1(a), this task is best achieved by performing the following required steps: 2 kN 3 kN/m 3 kN/m 3kN.m A 0.5 kN 4.5 kN kN 2 m 1 т+1m- 2 m R| -2 m (а) (b) Figure.1: (a) Bridge element modelled as simply supported beam (b) Beam section
1. By hand, construct diagrams for the shear force and bending moment distributions. (P1) 2. Construct the equations for shear force and bending moment and deflection in the beam using singularity functions. (M1, D3) 3. For the beam section in Figure.1(b), determine the equations (in terms of the variable x, after evaluating the internal shear force R) for the slope and deflection using the analytical solution. (P4) 4. For the beam section in Figure.1(b), use the method of superposition to evaluate the deflection equation. (P5) 5. For section A - A, calculate the maximum shear stress if the beam's cross section is shown in Figure.2(a). (D1) 6. If the stress element in Figure.2(b) has the following normal stress values: (ox, 0y, Oz)=(-2, 1, 1.5) kN, and the following shear stress values: (txy, Txz, Tyz)= (0.5, 0, 0) kN.m. Find the principal stresses for all 3 dimensions and draw the Mohr's circle for this 3D element. (P1) 5 cm 15 cm 5 cm 15 cm Figure.2(a): The beam's cross-section. zx Figure.2(b): 3D stress element from the simply supported beam.
Transcribed Image Text:1. By hand, construct diagrams for the shear force and bending moment distributions. (P1) 2. Construct the equations for shear force and bending moment and deflection in the beam using singularity functions. (M1, D3) 3. For the beam section in Figure.1(b), determine the equations (in terms of the variable x, after evaluating the internal shear force R) for the slope and deflection using the analytical solution. (P4) 4. For the beam section in Figure.1(b), use the method of superposition to evaluate the deflection equation. (P5) 5. For section A - A, calculate the maximum shear stress if the beam's cross section is shown in Figure.2(a). (D1) 6. If the stress element in Figure.2(b) has the following normal stress values: (ox, 0y, Oz)=(-2, 1, 1.5) kN, and the following shear stress values: (txy, Txz, Tyz)= (0.5, 0, 0) kN.m. Find the principal stresses for all 3 dimensions and draw the Mohr's circle for this 3D element. (P1) 5 cm 15 cm 5 cm 15 cm Figure.2(a): The beam's cross-section. zx Figure.2(b): 3D stress element from the simply supported beam.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Strain
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.
Similar questions
Recommended textbooks for you
Elements Of Electromagnetics
Elements Of Electromagnetics
Mechanical Engineering
ISBN:
9780190698614
Author:
Sadiku, Matthew N. O.
Publisher:
Oxford University Press
Mechanics of Materials (10th Edition)
Mechanics of Materials (10th Edition)
Mechanical Engineering
ISBN:
9780134319650
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Thermodynamics: An Engineering Approach
Thermodynamics: An Engineering Approach
Mechanical Engineering
ISBN:
9781259822674
Author:
Yunus A. Cengel Dr., Michael A. Boles
Publisher:
McGraw-Hill Education
Control Systems Engineering
Control Systems Engineering
Mechanical Engineering
ISBN:
9781118170519
Author:
Norman S. Nise
Publisher:
WILEY
Mechanics of Materials (MindTap Course List)
Mechanics of Materials (MindTap Course List)
Mechanical Engineering
ISBN:
9781337093347
Author:
Barry J. Goodno, James M. Gere
Publisher:
Cengage Learning
Engineering Mechanics: Statics
Engineering Mechanics: Statics
Mechanical Engineering
ISBN:
9781118807330
Author:
James L. Meriam, L. G. Kraige, J. N. Bolton
Publisher:
WILEY
SEE MORE TEXTBOOKS