The amount of weight required to bend a ski depends on various factors such as the length, width, thickness, and material of the ski, as well as the distance between the blocks on which the ski is supported. Therefore, it is difficult to provide an accurate estimate without additional information.
However, we can make some assumptions and use a simplified model to estimate the weight required to bend the ski.
Let’s assume that the ski is a typical downhill ski with a length of 170 cm and a width of 70 mm at the waist 1.
Let’s also assume that the ski is supported at each end on blocks that are 150 cm apart 1.
Using these assumptions, we can estimate the amount of force required to bend the ski by 5 cm. The formula for the deflection of a beam under a load is given by:
�=��348��δ=48EIFL3
where �δ is the deflection of the beam, �F is the force applied to the beam, �L is the length of the beam, �E is the modulus of elasticity of the beam material, and �I
is the moment of inertia of the beam cross-section 2.
Assuming that the ski is made of wood and has a modulus of elasticity of 11 GPa 3, and that the cross-section of the ski is rectangular with a height of
20 mm and a width of
70 mm, we can calculate the moment of inertia as:
�=�ℎ312=(70×203)12=4.67×105��4I=12bh3=12(70×203)=4.67×105mm4
Substituting these values into the formula, we get:
�=�48���3=(50��)48(11×109��)(4.67×105��4)(1.5�)3=1,000 NF=L3δ48EI=(1.5m)3(50mm)48(11×109Pa)(4.67×105mm4)=1,000 N
Therefore, an estimated 1,000 Newtons of force would be required to bend the ski by 5 cm 2.
Please note that this is a simplified estimate and the actual force required may be different depending on the actual dimensions and material of the ski.