For the following beams:
- Find the reactions
- Draw the shear diagram
- Draw the moment diagram
Beam 1: (P = 20 KN - L = 3.9 metres - a = 1.8 metres)
For the given cross section of the beam, find the maximum bending stress
Beam 2:
For the given cross section of the beam, the maximum allowable bending stress is ?? = 180 ?????? Find the minimum required depth ‘d' for a safe design
Beam 3: (w = 4 KN/m - L = 3.2 metres - a = 1.3 metres)
For the given cross section of the beam, the maximum allowable bending stress is ?? = 180 ?????? Find the minimum required width ‘w' for a safe design
Beam 4: (w = 5 KN/m - a = 1.8 metres - b = 2.2 metres)
For the given cross section of the beam, find the maximum bending stress at mid-span
Beam 5: (w = 4.5 KN/m - a = 1.6 metres - L = 6.7 metres)
For the given cross section of the beam, find the magnitude of the maximum bending stress at support B
Beam 6: (Note the hinge at B and the fixed support at C)
For the given cross section of the beam, find the magnitude of the bending stress 2.5 metres to the right of support A
Beam 7:
For the given cross section of the beam, find the magnitude of the maximum bending stress 2 metres to the left of support B
Beam 8: (P = 22 KN - L = 1.6 metres)
What dimensions of a rectangular cross section with a shape ratio of ½ are adequate if the maximum allowable bending stress in the beam is 120 MPa?
Beam 9: (P = 26 KN - L = 2.0 metres)
For the given cross section of the beam, find the magnitude of the maximum compressive bending stress and also the magnitude of the maximum tensile bending stress
