11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation.The simple beam DE is a rectanglular wood beam (100 mm300 mm in cross section) withEbeam=10GPa. A steel rod AC (Erod=200GPa) of diameter 6mmand length 3m serves as a hanger to strengthen the beam DE. Thehanger fits snugly between the beams before the uniform load (qis 6kN/m) applied to beam DE. Using the superposition method,determine the tensile force F in the hanger and the maximumbending moments Mmax in beam DE. 11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation.The simple beam DE is a rectanglular wood beam (100 mmx300 mm in cross section) withEbeam 10GPa. A steel rod AC (Erod-200GPa) of diameter 6mmand length 3m serves as a hanger to strengthen the beam DE. Thehanger fits snugly between the beams before the uniform load (qis 6kN/m) applied to beam DE. Using the superposition method,determine the tensile force F in the hanger and the maximumbending moments Mmax in beam DE.D6 kN/mWood beam3 m-Steel rod3 mE3m

11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation. The simple beam DE is a rectanglular wood beam (100 mm×300 mm in cross section) with Ebeam 10GPa. A steel rod AC (Erod-200GPa) of diameter 6mm and length 3m serves as a hanger to strengthen the beam DE. The hanger fits snugly between the beams before the uniform load (q is 6kN/m) applied to beam DE. Using the superposition method, determine the tensile force F in the hanger and the maximum bending moments Mmax in beam DE. 6 kN/m Wood beam 3m -Steel rod 3 m 3 m

11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation. The simple beam DE is a rectanglular wood beam (100 mm×300 mm in cross section) with Ebeam 10GPa. A steel rod AC (Erod-200GPa) of diameter 6mm and length 3m serves as a hanger to strengthen the beam DE. The hanger fits snugly between the beams before the uniform load (q is 6kN/m) applied to beam DE. Using the superposition method, determine the tensile force F in the hanger and the maximum bending moments Mmax in beam DE. 6 kN/m Wood beam 3m -Steel rod 3 m 3 m

Mechanics of Materials (MindTap Course List)

9th Edition

ISBN:9781337093347

Author:Barry J. Goodno, James M. Gere

Publisher:Barry J. Goodno, James M. Gere

Chapter10: Statically Indeterminate Beams

Section: Chapter Questions

Problem 10.3.1P: A propped cantilever steel beam is constructed from a W12 × 35 section. The beam is loaded by its...

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Concept explainers

Slope and Deflection

The slope in a deflected beam is described as an angle in radians made by the tangent of the section with the original axis of the beam. The deflection at any point on the axis of the beam is defined as the lateral displacement of the point before and after loading.

Question

11-5 The beam AB shown in the figure is considered as a rigid structure without any deformation. The simple beam DE is a rectanglular wood beam (100 mm300 mm in cross section) with Ebeam=10GPa. A steel rod AC (Erod=200GPa) of diameter 6mm and length 3m serves as a hanger to strengthen the beam DE. The hanger fits snugly between the beams before the uniform load (q is 6kN/m) applied to beam DE. Using the superposition method, determine the tensile force F in the hanger and the maximum bending moments Mmax in beam DE.

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Step 1: determine the tensile force in the hanger, the maximum bending moment in the beam DE.

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Step 2: calculate the tensile force in the hanger.

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Step 3: Calculate the maximum bending moment.

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Step 4: Calculate the stress in the hanger.

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