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(Solved): An I-beam is supported with a roller at A and a pin at B. The cross-section of the I-beam is shown. ...



An I-beam is supported with a roller at A and a pin at B. The cross-section of the I-beam is shown. Values for the figure are given in the following table. Note the figure may not be to scale. Dimensions for whole beam. Dimensions for the cross-section. Analyzing the beam at the cross-section

a-a

and at point

P

, a. Determine the reaction force at point A,

A_(y)

. b. Determine the reaction force at point

B,B_(y)

. c. Determine the magnitude of the internal normal force at a-a,

N_(aa)

. d. Determine the magnitude of the internal shear force at a-a,

V_(aa)

. e. Determine magnitude of the internal bending moment at

a-a,M_(aa)

. f. Determine the Area moment of inertia of the I-beam,

I

. g. Determine the

Q

at point

P,Q_(P)

. h. Determine

\sigma _(\times )

at point

P

. Include negative if applicable. i. Determine

\tau _(xy)

magnitude at point

P

. Round your final answers to 3 significant digits/figures.

Ay=,kN By=,kN N_(aa)=,kN V_(aa)=,kN M_(aa)=,kNm I=,mm^(4) Q_(A)=,MPa^(3) \tau _(xy)=,MPa^(2)


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