Which of the following structures is statically indeterminate?
Practice Questions
Q1
Which of the following structures is statically indeterminate?
Simply supported beam
Cantilever beam
Fixed beam
Truss
Questions & Step-by-Step Solutions
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.