Which of the following structures is statically indeterminate?

₹0.0

Question: Which of the following structures is statically indeterminate?

Options:

Correct Answer: Fixed beam

Solution:

A fixed beam is statically indeterminate because it has more supports than necessary to maintain equilibrium.

Which of the following structures is statically indeterminate?

Which of the following structures is statically indeterminate?

Step 1: Understand what 'statically indeterminate' means. It refers to a structure that has more supports or reactions than are necessary to keep it in equilibrium.
Step 2: Identify the types of supports in the structure. Common supports include pinned supports, roller supports, and fixed supports.
Step 3: Count the number of supports in the structure. A fixed beam typically has a fixed support at one end and a roller or pinned support at the other end.
Step 4: Determine the number of reactions. A fixed support can provide three reactions (vertical, horizontal, and moment), while a roller provides one vertical reaction and a pinned support provides two reactions (vertical and horizontal).
Step 5: Compare the number of reactions to the number of equations of equilibrium available (which are typically three: sum of vertical forces, sum of horizontal forces, and sum of moments).
Step 6: If the number of reactions exceeds the number of equilibrium equations, the structure is statically indeterminate.

No concepts available.