Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
1) Several loads are applied to a cantilevered beam as shown. A WT305 X 70 standard steel shape is used for the beam and the dimensions are shown below. a) Plot the shear force and bending moment diagram of the beam using the graphical method. Be sure to track calculations and clearly specify the maximum positive and negative values for shear and moment. [Ans. to Check: Vmax-positive = 40 kN; Mmax-negative = -70 kN-m] b) Locate the neutral axis of the cross-section relative to the bottom of the shape in mm. [Ans. to Check: y = 233 mm from bottom] c) d) Compute the moment of inertia in mm* about the z-axis. [Ans. to Check: I₂ = 78,338,100 mm¹] Calculate the bending stress in the top and bottom of the beam at the point of maximum positive moment (in MPa). Be sure to specify which fiber is in tension and which fiber is in compression. Plot the normal stress distribution for this location using the rules we learned in class. [Ans. to Check: Otop=49.15 MPa (C)] e) Calculate the bending stress in the top and bottom of the beam at the point of maximum negative moment (in MPa). Be sure to specify which fiber is in tension and which fiber is in compression. Plot the normal stress distribution for this location using the rules we learned in class. [Ans. to Check: 0 top = 68.8 MPa (T)] f) Use your answers from parts (d) and (e) to determine the location, magnitude, and sign of the maximum normal tensile and compressive stresses due to bending (in MPa). Note: Specify where these stresses happen along the beam (e.g. x = 2m) and where in the section (e.g. top or bottom). 50 kN-m 20 kN 2 m 60 KN 287.8 mm B Beam loading along its length 230 mm An 3 m 1 40 kN/m -13.1 mm 22.2 mm 1 m. D Cross-section of the beam (view looking down the beam from A to D)

1) Several loads are applied to a cantilevered beam as shown. A WT305 X 70 standard steel shape is used for the beam and the dimensions are shown below. a) Plot the shear force and bending moment diagram of the beam using the graphical method. Be sure to track calculations and clearly specify the maximum positive and negative values for shear and moment. [Ans. to Check: Vmax-positive = 40 kN; Mmax-negative = -70 kN-m] b) Locate the neutral axis of the cross-section relative to the bottom of the shape in mm. [Ans. to Check: y = 233 mm from bottom] c) d) Compute the moment of inertia in mm* about the z-axis. [Ans. to Check: I₂ = 78,338,100 mm¹] Calculate the bending stress in the top and bottom of the beam at the point of maximum positive moment (in MPa). Be sure to specify which fiber is in tension and which fiber is in compression. Plot the normal stress distribution for this location using the rules we learned in class. [Ans. to Check: Otop=49.15 MPa (C)] e) Calculate the bending stress in the top and bottom of the beam at the point of maximum negative moment (in MPa). Be sure to specify which fiber is in tension and which fiber is in compression. Plot the normal stress distribution for this location using the rules we learned in class. [Ans. to Check: 0 top = 68.8 MPa (T)] f) Use your answers from parts (d) and (e) to determine the location, magnitude, and sign of the maximum normal tensile and compressive stresses due to bending (in MPa). Note: Specify where these stresses happen along the beam (e.g. x = 2m) and where in the section (e.g. top or bottom). 50 kN-m 20 kN 2 m 60 KN 287.8 mm B Beam loading along its length 230 mm An 3 m 1 40 kN/m -13.1 mm 22.2 mm 1 m. D Cross-section of the beam (view looking down the beam from A to D)

Structural Analysis
Structural Analysis
6th Edition
ISBN:9781337630931
Author:KASSIMALI, Aslam.
Publisher:KASSIMALI, Aslam.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
See similar textbooks
icon
Related questions
icon
Concept explainers
Question
1) Several loads are applied to a cantilevered beam as shown. A WT305 X 70 standard steel shape is used for the beam and the dimensions are shown below. a) Plot the shear force and bending moment diagram of the beam using the graphical method. Be sure to track calculations and clearly specify the maximum positive and negative values for shear and moment. [Ans. to Check: Vmax-positive = 40 kN; Mmax-negative = -70 kN-m] b) Locate the neutral axis of the cross-section relative to the bottom of the shape in mm. [Ans. to Check: y = 233 mm from bottom] c) d) Compute the moment of inertia in mm* about the z-axis. [Ans. to Check: I₂ = 78,338,100 mm¹] Calculate the bending stress in the top and bottom of the beam at the point of maximum positive moment (in MPa). Be sure to specify which fiber is in tension and which fiber is in compression. Plot the normal stress distribution for this location using the rules we learned in class. [Ans. to Check: Otop=49.15 MPa (C)] e) Calculate the bending stress in the top and bottom of the beam at the point of maximum negative moment (in MPa). Be sure to specify which fiber is in tension and which fiber is in compression. Plot the normal stress distribution for this location using the rules we learned in class. [Ans. to Check: 0 top = 68.8 MPa (T)] f) Use your answers from parts (d) and (e) to determine the location, magnitude, and sign of the maximum normal tensile and compressive stresses due to bending (in MPa). Note: Specify where these stresses happen along the beam (e.g. x = 2m) and where in the section (e.g. top or bottom). 50 kN-m 20 kN 2 m 60 kN 287.8 mm B Beam loading along its length 230 mm 3 m 1 40 kN/m -13.1 mm 22.2 mm 1 m. D Cross-section of the beam (view looking down the beam from A to D)
Transcribed Image Text:1) Several loads are applied to a cantilevered beam as shown. A WT305 X 70 standard steel shape is used for the beam and the dimensions are shown below. a) Plot the shear force and bending moment diagram of the beam using the graphical method. Be sure to track calculations and clearly specify the maximum positive and negative values for shear and moment. [Ans. to Check: Vmax-positive = 40 kN; Mmax-negative = -70 kN-m] b) Locate the neutral axis of the cross-section relative to the bottom of the shape in mm. [Ans. to Check: y = 233 mm from bottom] c) d) Compute the moment of inertia in mm* about the z-axis. [Ans. to Check: I₂ = 78,338,100 mm¹] Calculate the bending stress in the top and bottom of the beam at the point of maximum positive moment (in MPa). Be sure to specify which fiber is in tension and which fiber is in compression. Plot the normal stress distribution for this location using the rules we learned in class. [Ans. to Check: Otop=49.15 MPa (C)] e) Calculate the bending stress in the top and bottom of the beam at the point of maximum negative moment (in MPa). Be sure to specify which fiber is in tension and which fiber is in compression. Plot the normal stress distribution for this location using the rules we learned in class. [Ans. to Check: 0 top = 68.8 MPa (T)] f) Use your answers from parts (d) and (e) to determine the location, magnitude, and sign of the maximum normal tensile and compressive stresses due to bending (in MPa). Note: Specify where these stresses happen along the beam (e.g. x = 2m) and where in the section (e.g. top or bottom). 50 kN-m 20 kN 2 m 60 kN 287.8 mm B Beam loading along its length 230 mm 3 m 1 40 kN/m -13.1 mm 22.2 mm 1 m. D Cross-section of the beam (view looking down the beam from A to D)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Design criteria for structural loading
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
  • SEE MORE QUESTIONS
Recommended textbooks for you
Structural Analysis
Structural Analysis
Civil Engineering
ISBN:
9781337630931
Author:
KASSIMALI, Aslam.
Publisher:
Cengage,
Structural Analysis (10th Edition)
Structural Analysis (10th Edition)
Civil Engineering
ISBN:
9780134610672
Author:
Russell C. Hibbeler
Publisher:
PEARSON
Principles of Foundation Engineering (MindTap Cou…
Principles of Foundation Engineering (MindTap Cou…
Civil Engineering
ISBN:
9781337705028
Author:
Braja M. Das, Nagaratnam Sivakugan
Publisher:
Cengage Learning
Fundamentals of Structural Analysis
Fundamentals of Structural Analysis
Civil Engineering
ISBN:
9780073398006
Author:
Kenneth M. Leet Emeritus, Chia-Ming Uang, Joel Lanning
Publisher:
McGraw-Hill Education
Sustainable Energy
Sustainable Energy
Civil Engineering
ISBN:
9781337551663
Author:
DUNLAP, Richard A.
Publisher:
Cengage,
Traffic and Highway Engineering
Traffic and Highway Engineering
Civil Engineering
ISBN:
9781305156241
Author:
Garber, Nicholas J.
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS