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Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
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Question
For the beam shown,
(1) derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.)
(2) use the derived functions to plot the shear-force and bending-moment diagrams for the beam. Specify the values for key points on the diagrams.
Let a=7.0 ft, b=8.7 ft, wa=13 kips/ft, and wb=7 kips/ft.
- What is the shear force and bending moment (in kips rounded to the nearest whole number) at x = 6.0 ft?
- What is the maximum bending moment? Express your answer in kip-ft rounded to three significant figures.
- Determine the bending stress at point H (positive if tensile and negative if compressive). Express your answer in MPa rounded to the nearest hundredths
- Determine the maximum bending stress (positive if tensile and negative if compressive) produced in the cross section. Express your answer in MPa rounded to the nearest tenths.
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