Propped Beam

Support Added at the Midspan of Simple Beam to Prevent Excessive Deflection

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 = 4 m
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?

A.   26.7 C.   15.0
B.   17.8 D.   35.6

 

Problem 870 | Beam Deflection by Three-Moment Equation

Problem 870
Compute the value of EIδ at the overhanging end of the beam in Figure P-870 if it is known that the wall moment is +1.1 kN·m.
 

870-propped-beam-with-overhang.gif

 

Problem 844 | Continuous Beams with Fixed Ends

Problem 844
In the propped beam shown in Fig. P-844, determine the prop reaction.
 

844-overhanging-propped-beam.gif

 

Problem 843 | Continuous Beams with Fixed Ends

Problem 843
Use the three-moment equation to determine the wall moment and solve for the prop reaction for the beam in Fig. P-843.
 

843-propped-beam-triangle-load.gif

 

Problem 842 | Continuous Beams with Fixed Ends

Problem 842
For the propped beam shown in Fig. P-842, determine the wall moment and the reaction at the prop support.
 

842-overhanging-propped-beam.gif

 

Problem 841 | Continuous Beams with Fixed Ends

Problem 841
Determine the wall moment and prop reaction for the beam shown in Fig. P-841.
 

841-overhanging-propped-beam.gif

 

Problem 840 | Continuous Beams with Fixed Ends

Problem 840
For the propped beam shown in Fig. P-840, determine the prop reaction and the maximum positive bending moment.
 

840-propped-beam-with-overhang.gif

 

Continuous Beams with Fixed Ends

Problem 839
Determine the prop reaction for the beam in Fig. P-839.
 

839-propped-beam-with-overhang.gif

 

Problem 725 | Propped beam with partially restrained wall and settling simple support

Problem 725
If the support under the propped beam in Problem 724 settles an amount $\delta$, show that the propped reaction decreases by $3EI\delta / L^3$.
 

Problem 724 | Propped beam with partially restrained wall support

Problem 724
The beam shown in Fig. P-724 is only partially restrained at the wall so that, after the uniformly distributed load is applied, the slope at the wall is $w_oL^3 / 48EI$ upward to the right. If the supports remain at the same level, determine $R$.
 

724-propped-beam-uniform-load.gif

 

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