Question 1

Question 1

Integration Method question 1

Calculate the deflection ν of the beam at x = 3m and the slope dν/dx at x = 0m.

Calculate the deflection ν of the beam at x = 3m and the slope dν/dx at x = 0m.

Click below to show answer. X

Step 1:
Section cut to get moment equation

Step 1:
Section cut to get moment equation

Integration Method solution step 1

Step 2:
Integrate twice

Step 2:
Integrate twice

Integration Method solution step 2

Step 3:
Apply boundary conditions (BCs) to get C₁ and C₂

Step 3:
Apply boundary conditions (BCs) to get C₁ and C₂

Integration Method solution step 3

Step 4:
Final elastic curve equation, calculate ν and θ

Step 4:
Final elastic curve equation, calculate ν and θ

Integration Method solution step 4

Useful formula:

Useful formula:

Integration Method formula

Now that you've mastered this question, you can try Question 2.