All Exams Test series for 1 year @ ₹349 only
Question

Consider the loaded beam as shown in the figure below.

Choose the CORRECT option for the bending moment diagram of the beam above.
 

The correct answer is

The question involves determining the correct bending moment diagram for the given beam under loading conditions.

To solve this problem, we need to analyze the beam and the loading on it. The beam is simply supported with both point loads and uniformly distributed loads (UDL).

Here are the steps to find the bending moment diagram:

  1. Identify the type of beam and loads: This is a simply supported beam with a combination of point loads and a UDL.
  2. Calculate reactions at supports: Use the equilibrium equations to calculate the reactions at the supports (taking moments about one support to find the reaction at the other support and vice versa).
  3. Draw the Shear Force Diagram (SFD): Start from one side of the beam, and calculate the shear force at each point of interest (usually at the point loads and at the ends of the UDL).
  4. Draw the Bending Moment Diagram (BMD): The bending moment at any section can be calculated by integrating the shear diagram. BMD is typically a linear function under point loads and a parabolic function under a UDL.

For a simply supported beam with a UDL in the middle, the bending moment diagram will typically have a triangular shape with the maximum moment located at the center of the beam.

Based on these calculations and understanding, we choose the appropriate bending moment diagram from the options provided. The correct option is shown below:

The chosen diagram correctly represents the bending moment characteristics of the loaded beam. The maximum bending moment occurs at the center, and the moments at the supports are zero, consistent with a simply supported beam.

Was this answer helpful?

Important Questions from Bending Moment

  1. Slope and deflection of a cantilever beam carrying a moment M at the free end is given by:

  2. Which of the following beams is likely to have the point of contraflexure?

  3. The point of contraflexure is the point at which ___________ changes its sign.

  4. The maximum bending moment of the center of laminated spring of span L due to load W is given by-

  5. If a simply supported beam is loaded with point load W at the centre then what is the ratio of bending moment at the support to the bending moment at the centre?

Need Expert Advice?

Start Your Preparation with Prepp Mobile App

Download the app from Google Play & App Store
Download the app from Google Play & App Store
Prepp Mobile App