A cantilever beam with rectangular cross section is loaded as shown in figure. Plot the maximum bending stress and maximum transverse shear stress as function of L/h within range 0.01 ≤ L/h ≤ 10. Assume other parameters remain constant. -L +b+ h

What is required to relate the stress distribution to the resultant bending moment?

Case Study Calculate the Tensile Toughness Tensile toughness measures the total energy absorbed prior to fracture and is different from fracture toughness and impact toughness. Fracture toughness measures the resistance to fracture when a flaw (i.e. crack) is present in the material. Since it is nearly impossible and costly to manufacture materials with zero or near zero defects, fracture toughness is a major consideration for all structural materials. Impact toughness measures a materials ability to withstand an impact blow (i.e. high strain rates) and is particularly important in assessing the ductile-to-brittle transition behavior (more details later). Impact toughness is also commonly referred to as notch toughness. The tensile toughness can be estimated using the stress-strain curve by measuring the area under the curve (both the elastic and plastic regions). Tensile Toughness = f Stress, σ Ty- Ey Efracture ETS Ur Ey Efracture o de = U₁ + SETS o de + Sefracture o de Ey Ey o de =…

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