calculus

posted by .

The bending moment (BM) along a beam BM = 30x -5x2 kNm where x is the distance in metres from the left hand end.



Find the position and value of the maximum bending moment.

  • calculus -

    dBM/dx=30-10x=0
    x=3m
    BM(max)=f(x)=30*3-5(9)=35kNm

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Materials Science

    A 3m long balance beam is simply supported with an overhang at each end of a=0.5m. A gymnast weighing 50kg is standing a distance c to the right of support A and a distance b to the left of support B. How does the maximum bending moment …
  2. Materials Science

    A 3-point bending test is performed on a simply supported beam of length L=4m and of rectangular cross-section, with width b and height h. For a central load of 10kN, draw the bending moment and shear force diagrams for the beam. Then …
  3. Materials Science

    A 4-point bending test is performed on the same beam, with symmetric loads of 5kN separated by 2m. Draw the bending moment and shear force diagrams for the beam. Then answer the following questions about the shear force V and bending …
  4. Materials Science

    A hollow cylinder with outer radius r0 and inner radius ri is loaded by a uniformly distributed load q across its length L. The beam is supported by a roller at its left end and a pin L5 from its right end. What is the maximum bending …
  5. mechanics

    A 3m long balance beam is simply supported with an overhang at each end of a=0.5m. A gymnast weighing 50kg is standing a distance c to the right of support A and a distance b to the left of support B. How does the maximum bending moment …
  6. math

    A hollow cylinder with outer radius r0 and inner radius ri is loaded by a uniformly distributed load q across its length L. The beam is supported by a roller at its left end and a pin L5 from its right end. What is the maximum bending …
  7. mechanics

    A 3m long balance beam is simply supported with an overhang at each end of a=0.5m. A gymnast weighing 50kg is standing a distance c to the right of support A and a distance b to the left of support B. How does the maximum bending moment …
  8. Mechanical engineering

    An I section beam of 4m length with end supports is required to carry a point load of 50 KN at its mid pint. The maximum bending stress is limited to 85 MPa, and Modulus of Elasticity of the steel s 200 GPa. Evaluate maximum bending …
  9. Calculus applications

    6. The bending moment (M) along a beam is M = WLx/2 -Wx2/2 kNm where x is the distance of a beam length L from the left hand end. W is the weight per unit length. (a) Shear force is calculated as the differential of bending moment. …
  10. Calculus applications

    The bending moment (M) along a beam is M = WLx/2 -Wx2/2 kNm where x is the distance of a beam length L from the left hand end. W is the weight per unit length. (a) Shear force is calculated as the differential of bending moment. Find …

More Similar Questions