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For beams with constant stiffness

𝑀 𝑛 - 1 𝑙 𝑛 + 2 𝑀 𝑛 (𝑙 𝑛 + 𝑙 𝑛 + 1) + 𝑀 𝑛 + 1 𝑙 𝑛 + 1 = - 6 (𝑅 𝑁 𝑙 + 𝑅 𝑁 𝑝)

For beams with variable stiffness

𝑐 𝑀 𝑛 - 1 𝑙 𝑛 + 2 𝑀 𝑛 (𝑐 𝑙 𝑛 + 𝑙 𝑛 + 1) + 𝑀 𝑛 + 1 𝑙 𝑛 + 1 = - 6 (𝑐 𝑅 𝑁 𝑙 + 𝑅 𝑁 𝑝)

You can also find the equation in the following form

𝑐 𝑀 𝑛 - 1 𝑙 𝑛 + 2 𝑀 𝑛 (𝑐 𝑙 𝑛 + 𝑙 𝑛 + 1) + 𝑀 𝑛 + 1 𝑙 𝑛 + 1 = - 6 𝑐 Ω 𝑛 𝑎 𝑛 𝑙 𝑛 - 6 Ω 𝑛 + 1 𝑏 𝑛 + 1 𝑙 𝑛 + 1