Bar Stiffness Force Three-Row Scan - Elasticity: Stress, Strain, and Material Response Step by Step

Geometry sets bar stiffness before extension sets force. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Bar stiffness comes before extension force

Area 2 square meters and length 4 m give stiffness 8 newtons per meter; extension 1 m then gives force 8 N.

k=\frac{EA}{L}=8\ \text{N/m},\quad F=k\Delta L=8\ \text{N}

Bar stiffness comes before extension force

Area 4 square meters and length 8 m give stiffness 8 newtons per meter; extension 1 m then gives force 8 N.

k=\frac{EA}{L}=8\ \text{N/m},\quad F=k\Delta L=8\ \text{N}

Bar stiffness comes before extension force

Area 4 square meters and length 8 m give stiffness 8 newtons per meter; extension 2 m then gives force 16 N.

k=\frac{EA}{L}=8\ \text{N/m},\quad F=k\Delta L=16\ \text{N}