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Exercise No. 1: Draw the shear and bending moment diagrams for girder AB. Also determine the maximum bending-moment. 2m P₁ ↓ 2m P₂ 4m P3 x 4th to the last digit 3rd to the last digit 2nd to the last digit Last digit 6m 4m P3 L=20 m Parameter = a + (b-a)x/10 where : x = student's ID digit number Parameter P₁ P₂ P3 P₁ 4m a 45 55 65 75 6m Pa b 50 60 70 80 P₁ 4m Units kN KN KN KN 2m P₂ 2m B d

Exercise No. 1: Draw the shear and bending moment diagrams for girder AB. Also determine the maximum bending-moment. 2m P₁ ↓ 2m P₂ 4m P3 x 4th to the last digit 3rd to the last digit 2nd to the last digit Last digit 6m 4m P3 L=20 m Parameter = a + (b-a)x/10 where : x = student's ID digit number Parameter P₁ P₂ P3 P₁ 4m a 45 55 65 75 6m Pa b 50 60 70 80 P₁ 4m Units kN KN KN KN 2m P₂ 2m B d

Structural Analysis
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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Exercise 1: Draw the shear and bending-moment diagram for girder AB. Also determine the maximum bending-moment.

Where x = 2020100214

Note: Solve the exercise #1 problem with the same way and steps on how the sample problem #3 was solved.

Exercise No. 1: Draw the shear and bending moment diagrams for girder AB. Also determine the maximum bending-moment. 2m P₁ Į 2m P₂ 4m P3 X 4th to the last digit 3rd to the last digit 2nd to the last digit Last digit 6m 4m P3 L=20 m Parameter = a + (b-a)x/10 where : x = student's ID digit number Parameter P₁ P₂ P3 P4 4m a 45 55 65 75 6m Pa b 50 60 70 80 P₁ 4m Units KN KN kN KN 2m P₂ 2m B d
Transcribed Image Text:Exercise No. 1: Draw the shear and bending moment diagrams for girder AB. Also determine the maximum bending-moment. 2m P₁ Į 2m P₂ 4m P3 X 4th to the last digit 3rd to the last digit 2nd to the last digit Last digit 6m 4m P3 L=20 m Parameter = a + (b-a)x/10 where : x = student's ID digit number Parameter P₁ P₂ P3 P4 4m a 45 55 65 75 6m Pa b 50 60 70 80 P₁ 4m Units KN KN kN KN 2m P₂ 2m B d
SHEAR and MOMENT DIAGRAMS in BEAMS Sample Problem No. 3: Draw the shear and bending moment diagrams for beam AB. Also determine the maximum bending-moment. All pulleys have a 600 mm diameter. Ax Step 1: Draw the free body diagram A Ax = 50 Ay 50 kN 3m 45.78 Ay = 45.78 50 kN Step 3: Forces Diagram 3m 3m 1ml -4.22 C 7m 187.34 50 137.34 7m Step 4: Shear and moment diagrams 50 Step 2: Compute the reactions at the support ΣΕ= 0 ; - Ax + 50 = 0; Ax= 50 kN ΣM₁ = 0; 50(3-.300)-50(1+. 300) - By(16.6) = 0 ; By = 4.22 kN 78 KN↑ ΣF, = 0; Ay+By-50=0; Ay= 45.78 KN 7m -54.22 0.6m 50 0.6m 0.6m 1m !1m 157.8 1m Ý... 75.3 25.3 1m 1m 6m 50 kN Step 5: Determine the maximum bending moment: Therefore: Max. Moment=187.34 kN-m occur at point b. 6m There are moments at c, d and e. M = 50 kN (1m) = 50 kN -m Mc = 50 kN-m clockwise ; Md and Me = 50 kN-m counter clockwise 6m 50 By B B -4.22 By = 4.22
Transcribed Image Text:SHEAR and MOMENT DIAGRAMS in BEAMS Sample Problem No. 3: Draw the shear and bending moment diagrams for beam AB. Also determine the maximum bending-moment. All pulleys have a 600 mm diameter. Ax Step 1: Draw the free body diagram A Ax = 50 Ay 50 kN 3m 45.78 Ay = 45.78 50 kN Step 3: Forces Diagram 3m 3m 1ml -4.22 C 7m 187.34 50 137.34 7m Step 4: Shear and moment diagrams 50 Step 2: Compute the reactions at the support ΣΕ= 0 ; - Ax + 50 = 0; Ax= 50 kN ΣM₁ = 0; 50(3-.300)-50(1+. 300) - By(16.6) = 0 ; By = 4.22 kN 78 KN↑ ΣF, = 0; Ay+By-50=0; Ay= 45.78 KN 7m -54.22 0.6m 50 0.6m 0.6m 1m !1m 157.8 1m Ý... 75.3 25.3 1m 1m 6m 50 kN Step 5: Determine the maximum bending moment: Therefore: Max. Moment=187.34 kN-m occur at point b. 6m There are moments at c, d and e. M = 50 kN (1m) = 50 kN -m Mc = 50 kN-m clockwise ; Md and Me = 50 kN-m counter clockwise 6m 50 By B B -4.22 By = 4.22
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