1. Problem Solving: Solve the following situations as completely as possible, use any method that you deem easier/appropriate to use. Roundoff your answer to Deflections, locations, forces & Moments 2 decimal places 5 decimal places round up to whole number The cantilever beam is loaded with Pupward concentrated load acting at distance s from the free-end and the distributed load intensity is defined by the equation W = -7x + 81 in kN per meter is loaded from x = 0m (free end) to x = 8m (fixed end) as shown. The beam has the following properties: E = 200 GPa, I = 2x10² mm¹ Slopes Diameters W 5m B 3m C fixed A.) If the load 250 kN and s= 2.00 m., 1. What will be the shear at the fixed end? 2. What will be the moment at the fixed end? 3. What will be the complete equation for Ely" in kNm (use fractions for the coefficients)? 4. What will be the complete equation for Ely (use fractions for the coefficients)? 5. What will be the complete equation for Ely (use fractions for the coefficients)? 6. What will be the maximum deflection? 7. What will be the maximum slope? 8. What will be the deflection at point B? 9. What will be the slope at point B? 10. What value of load P is needed in order to produce a zero shear at the fixed support? 11. What value of load P is needed in order to produce a zero moment at the fixed support? 12. If the maximum deflection is to be limited at 10 mm, what diameter of circular beam is required? 13. If the maximum slope is to be limited to 0.20 degrees, what diameter of circular beam is required? 14. If the bending stress at the fixed support is to be limited to 40 MPa, what diameter of circular beam is required? B.) If the load P is removed and s = 2.00m, 15. What will be the maximum deflection? 16. What will be the maximum slope? 17. If the maximum deflection is to be limited at 10 mm, what diameter of circular beam is required? 18. If the maximum slope is to be limited to 0.20 degrees, what diameter of circular beam is required? 19. If the bending stress at the fixed support is to be limited to 30 MPa, what diameter of circular beam is required? C.) If the load P = 200 kN and the distance s = 0 m, 20. What will be the maximum deflection? 21. What will be the maximum positive slope? 22. What will be the maximum negative slope? 23. What will be the location of the maximum negative slope from the free-end? 24. What will be the deflection at the free-end? 25. If the maximum shear stress is limited to 2 MPa, what diameter of circular beam is required?