- #1
MMCS
- 151
- 0
A uniform simply supported beam, 5 m long and having a cross-section as shown, is to support a load which varies linearly from zero at the left hand support to a magnitude of 20 kN/m at the right hand support. Determine the position and magnitude of the maximum bending stress.
ANS : 140 MPa, 2.89 m from left
Total load w*L/2 = 50,000
Load at distance x (w*x)/L
I know that distance of maximum load = L/sqrt3 = 2.89
So the maximum bending moment = (20,000*2.89)/5 = 11560
I have out this into the formula M*Y/I =σ but get an incorrect answer
Unfortunately the picture with dimensions is unable to upload but it is an I beam with a second moment of area as 0.00003813 and a distance from the neutral axis as 0.1
Thanks
ANS : 140 MPa, 2.89 m from left
Total load w*L/2 = 50,000
Load at distance x (w*x)/L
I know that distance of maximum load = L/sqrt3 = 2.89
So the maximum bending moment = (20,000*2.89)/5 = 11560
I have out this into the formula M*Y/I =σ but get an incorrect answer
Unfortunately the picture with dimensions is unable to upload but it is an I beam with a second moment of area as 0.00003813 and a distance from the neutral axis as 0.1
Thanks