2. Area moment of inertia of the beam (I [mm]) about its neutral axis 3. Modulus of elasticity of the material (E [GPa]) 4. Maximum stress that the material can support before there is a permanent deformation of the beam (σy [MPa]) 5. Plot the Free-body diagram of the beam and calculate the support reactions if P = 100 [N] 6. Plot the shear and bending moment diagrams (P = 100 [N]). 7. Determine the maximum bending moment at the beam (P = 100 [N]) 8. Calculate the theoretical values of the normal stress at each gauge location in relation to the neutral axis (i.e., 26.25 mm, 18.25 mm, 3.25 mm, -5.45 mm, -11.85 mm) 9. Calculate the strain (ε[-]) in each gauge. 10. Calculate the maximum load Pmax [N] that can be applied to the beam given an allowable bending stress of 70 MPa (for a safe load). Calculate the safety factor in that case (SF) 300 mm Р P2 P 2 300 mm 6.4 mm 31.7 mm 6.4 mm 1 4 Calculations Calculate the following: 735 mm Figure 3: Beam and cross-section area of the T-beam 1. Neutral axis of the beam (with respect to the bottom of the beam - Figure 3) 6 38.1 mm

2. Area moment of inertia of the beam (I [mm]) about its neutral axis 3. Modulus of elasticity of the material (E [GPa]) 4. Maximum stress that the material can support before there is a permanent deformation of the beam (σy [MPa]) 5. Plot the Free-body diagram of the beam and calculate the support reactions if P = 100 [N] 6. Plot the shear and bending moment diagrams (P = 100 [N]). 7. Determine the maximum bending moment at the beam (P = 100 [N]) 8. Calculate the theoretical values of the normal stress at each gauge location in relation to the neutral axis (i.e., 26.25 mm, 18.25 mm, 3.25 mm, -5.45 mm, -11.85 mm) 9. Calculate the strain (ε[-]) in each gauge. 10. Calculate the maximum load Pmax [N] that can be applied to the beam given an allowable bending stress of 70 MPa (for a safe load). Calculate the safety factor in that case (SF) 300 mm Р P2 P 2 300 mm 6.4 mm 31.7 mm 6.4 mm 1 4 Calculations Calculate the following: 735 mm Figure 3: Beam and cross-section area of the T-beam 1. Neutral axis of the beam (with respect to the bottom of the beam - Figure 3) 6 38.1 mm

International Edition---engineering Mechanics: Statics, 4th Edition

4th Edition

ISBN:9781305501607

Author:Andrew Pytel And Jaan Kiusalaas

Publisher:Andrew Pytel And Jaan Kiusalaas

Chapter9: Moments And Products Of Inertia Of Areas

Section: Chapter Questions

Problem 9.13P: Figure (a) shows the cross section of a column that uses a structural shape known as W867...

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