Situation
A simply supported beam has a span of 12 m. The beam carries a total uniformly distributed load of 21.5 kN/m. 1. To prevent excessive deflection, a support is added at midspan. Calculate the resulting moment (kN·m) at the added support.
A. 64.5
C. 258.0
B. 96.8
D. 86.0
2. Calculate the resulting maximum positive moment (kN·m) when a support is added at midspan.
A. 96.75
C. 108.84
B. 54.42
D. 77.40
3. Calculate the reaction (kN) at the added support.
Situation
A simply supported steel beam spans 9 m. It carries a uniformly distributed load of 10 kN/m, beam weight already included.
Given Beam Properties:
Area = 8,530 mm2
Depth = 306 mm
Flange Width = 204 mm
Flange Thickness = 14.6 mm
Moment of Inertia, Ix = 145 × 106 mm4
Modulus of Elasticity, E = 200 GPa
1. What is the maximum flexural stress (MPa) in the beam?
A. 107
C. 142
B. 54
D. 71
2. To prevent excessive deflection, the beam is propped at midspan using a pipe column. Find the resulting axial stress (MPa) in the column
Given Column Properties:
Outside Diameter = 200 mm
Thickness = 10 mm
Height, H = 4 m
Modulus of Elasticity, E = 200 GPa
A. 4.7
C. 18.8
B. 9.4
D. 2.8
3. How much is the maximum bending stress (MPa) in the propped beam?
Situation
A beam of uniform cross section whose flexural rigidity EI = 2.8 × 1011 N·mm2, is placed on three supports as shown. Support B is at small gap Δ so that the moment at B is zero.
Problem 869
Find the value of EIδ at the center of the first span of the continuous beam in Figure P-869 if it is known that M2 = -980 lb·ft and M3 = -1082 lb·ft.