Homework Help is Here – Start Your Trial Now!
Engineering
Civil Engineering
A simply supported beam AD made of steel is 7 m long and has a short bracket bolted at F. The beam is supported by pin at A and roller at D as illustrated in Figure 3. A linearly distributed load with intensity of 24 kN/m and 32 kN/m is applied along the segments AB and BD, respectively. The bracket also holds an inclined point load of 20 kN at the end of the bracket. Figure 4 shows the shear force diagram (SFD) for the beam under the loadings given. The beam also has unsymmetrical cross-section area as presented in Figure 5 and the moment of inertia for the cross-section is 898.227 x 10“ m. i) Draw the free-body diagram for the beam. ii) Determine the magnitude of bending moment at each point by using Moment – Equation Method. iii) Construct the bending moment diagram for the beam. State all the important values.

A simply supported beam AD made of steel is 7 m long and has a short bracket bolted at F. The beam is supported by pin at A and roller at D as illustrated in Figure 3. A linearly distributed load with intensity of 24 kN/m and 32 kN/m is applied along the segments AB and BD, respectively. The bracket also holds an inclined point load of 20 kN at the end of the bracket. Figure 4 shows the shear force diagram (SFD) for the beam under the loadings given. The beam also has unsymmetrical cross-section area as presented in Figure 5 and the moment of inertia for the cross-section is 898.227 x 10“ m. i) Draw the free-body diagram for the beam. ii) Determine the magnitude of bending moment at each point by using Moment – Equation Method. iii) Construct the bending moment diagram for the beam. State all the important values.

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
Question

need help...thanks

A simply supported beam AD made of steel is 7 m long and has a short bracket bolted at F. The beam is supported by pin at A and roller at D as illustrated in Figure 3. A linearly distributed load with intensity of 24 kN/m and 32 kN/m is applied along the segments AB and BD, respectively. The bracket also holds an inclined point load of 20 kN at the end of the bracket. Figure 4 shows the shear force diagram (SFD) for the beam under the loadings given. The beam also has unsymmetrical cross-section area as presented in Figure 5 and the moment of inertia for the cross-section is 898.227 x 10“ m*. i) Draw the free-body diagram for the beam. ii) Determine the magnitude of bending moment at each point by using Moment – Equation Method. iii) Construct the bending moment diagram for the beam. State all the important values. iv) Determine the maximum bending stress in the beam when the bending moment is located at the inflection point. v) Calculate the shear stress in the beam at point X and neutral axis (N.A) when the shear force located at the mid-span of the beam. Note: Show ALL the assumptions and diagrams. 32 kN/m 24 kN/m 0.4 m 20 kN 5m 1.4 m To.6 ml в с A. D Figure 3
Transcribed Image Text:A simply supported beam AD made of steel is 7 m long and has a short bracket bolted at F. The beam is supported by pin at A and roller at D as illustrated in Figure 3. A linearly distributed load with intensity of 24 kN/m and 32 kN/m is applied along the segments AB and BD, respectively. The bracket also holds an inclined point load of 20 kN at the end of the bracket. Figure 4 shows the shear force diagram (SFD) for the beam under the loadings given. The beam also has unsymmetrical cross-section area as presented in Figure 5 and the moment of inertia for the cross-section is 898.227 x 10“ m*. i) Draw the free-body diagram for the beam. ii) Determine the magnitude of bending moment at each point by using Moment – Equation Method. iii) Construct the bending moment diagram for the beam. State all the important values. iv) Determine the maximum bending stress in the beam when the bending moment is located at the inflection point. v) Calculate the shear stress in the beam at point X and neutral axis (N.A) when the shear force located at the mid-span of the beam. Note: Show ALL the assumptions and diagrams. 32 kN/m 24 kN/m 0.4 m 20 kN 5m 1.4 m To.6 ml в с A. D Figure 3
41.46 в с D A 18.54 39.94 66.94 SFD (kN) Figure 4 457 mm 38 mm 38 mm 508 mm N.A 399.80 mm 38 mm 257 mm Figure 5
Transcribed Image Text:41.46 в с D A 18.54 39.94 66.94 SFD (kN) Figure 4 457 mm 38 mm 38 mm 508 mm N.A 399.80 mm 38 mm 257 mm Figure 5
Expert Solution
steps

Step by step

Solved in 3 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Knowledge Booster
Engineering economics principles
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.
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