A simply supported beam has a uniform load of 5 kN/m over a span of 6 m. What is
Practice Questions
Q1
A simply supported beam has a uniform load of 5 kN/m over a span of 6 m. What is the maximum bending moment in the beam?
7.5 kNm
15 kNm
18 kNm
30 kNm
Questions & Step-by-Step Solutions
A simply supported beam has a uniform load of 5 kN/m over a span of 6 m. What is the maximum bending moment in the beam?
Step 1: Identify the uniform load (w) on the beam, which is given as 5 kN/m.
Step 2: Identify the length of the beam (L), which is given as 6 m.
Step 3: Use the formula for maximum bending moment in a simply supported beam with a uniform load: Maximum Bending Moment = wL²/8.
Step 4: Substitute the values into the formula: Maximum Bending Moment = (5 kN/m) * (6 m)² / 8.
Step 5: Calculate (6 m)², which equals 36 m².
Step 6: Multiply 5 kN/m by 36 m² to get 180 kN*m.
Step 7: Divide 180 kN*m by 8 to find the maximum bending moment: 180 kN*m / 8 = 22.5 kN*m.
Step 8: Convert kN*m to kNm if necessary, but the units remain the same in this case.
Bending Moment Calculation – Understanding how to calculate the maximum bending moment in a simply supported beam under uniform load using the formula M = wL²/8.
Beam Support Conditions – Recognizing the implications of a simply supported beam and how it affects load distribution and moment calculations.
