No, katanas are not typically floppy. When properly crafted, katanas are known for their strength, rigidity, and resilience. A well-made katana should have a certain level of stiffness and stability, allowing it to withstand the forces generated during strikes without excessive bending or flexing.

The blade of a katana is typically constructed with a combination of hard and soft steel layers, a technique known as differential hardening. This construction method gives the katana its characteristic strength and flexibility. The blade's hardness comes from the high-carbon steel edge, while the softer steel core provides resilience and flexibility. This combination of hardness and flexibility is essential for the katana's cutting performance and overall durability.

While katanas are designed to have a certain degree of flexibility to absorb and distribute forces during strikes, they should not be excessively floppy or lack sufficient rigidity. If a katana is too flexible or exhibits excessive bending, it could indicate a quality issue, such as a poorly constructed blade or inadequate heat treatment.

It's important to note that the flexibility of a katana's blade can vary depending on factors such as the specific design, craftsmanship, and materials used in its construction. Additionally, different types of swords within the katana family, such as tachi or nagamaki, may have slightly different flex characteristics.

When considering the purchase of a katana, it's advisable to consult reputable sources, experienced sword dealers, or knowledgeable experts who can guide you in selecting a well-crafted and properly constructed sword.

Always prioritize safety and familiarize yourself with the laws and regulations regarding sword ownership and usage in your jurisdiction.