Question 1

On your first assignment as a graduate engineer you are tasked to determine the loading capacity of the cantilevered beam above. What is the maximum force P that can be applied before the beam fails? Consider both the Tresca and von-Mises criteria.

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Step 1:
Calculate the stresses acting at the critical location

Step 1:
Calculate the stresses acting at the critical location

Step 2:
Use Mohr's circle to get σ₁, σ₂

Step 2:
Use Mohr's circle to get σ₁, σ₂

Step 3:
Apply the Tresca and von-Mises failure criteria, find P_max

Step 3:
Apply the Tresca and von-Mises failure criteria, find P_max

Useful formula:

Useful formula:

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

Question 1

Question 1

Step 1: Calculate the stresses acting at the critical location Step 1: Calculate the stresses acting at the critical location

Step 2: Use Mohr's circle to get σ1, σ2 Step 2: Use Mohr's circle to get σ1, σ2

Step 3: Apply the Tresca and von-Mises failure criteria, find Pmax Step 3: Apply the Tresca and von-Mises failure criteria, find Pmax

Useful formula: Useful formula:

Step 1:
Calculate the stresses acting at the critical location

Step 1:
Calculate the stresses acting at the critical location

Step 2:
Use Mohr's circle to get σ₁, σ₂

Step 2:
Use Mohr's circle to get σ₁, σ₂

Step 3:
Apply the Tresca and von-Mises failure criteria, find P_max

Step 3:
Apply the Tresca and von-Mises failure criteria, find P_max

Useful formula:

Useful formula: