Question

for 1D element the shape function is​

Answer 1

Answer: Shape functions are used to determine the value of state variable at any point of element based on values of state variable on three nodes. From: Finite Element Analysis Applications.

Answer 2

• The form function interpolates the solution between the discrete values collected at the mesh nodes.
• As a result, proper functions must be utilized, and, as previously stated, low-order polynomials are commonly used as form functions.
• In the i-th node, the i-th shape function equals one; in the other nodes, it equals zero.
• The Sum of all shape functions is always unity.