Part B $-$ Maximum shear at $C$

Determine the maximum positive shear that can be developed at point $C.$

Express your answer in kN to three significant figures.

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$(V_C{)}_{\text{m}\text{a}\text{x}}=$

X Incorrect; Try Again; $5$ attempts remaining

The live load does not need to be applied over the entire length of the beam.

You may want to review Hint $4.$ Location of the live load.

Part C $-$ Maximum moment at $C$

Determine the maximum moment in the beam at point $C.$

Express your answer in $kN*m$ to three significant figures.

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Figure

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Provide Feedback The beam shown in $($Figure $1)$ is used to support a hoist that transfers large items to various points underneath it$.$ The max load the hoist can move is $P=35kN.$ The beam has a weight of $1\mathrm{.}3k\frac{N}{m}$ and is subjected to a

uniform live load of $11\mathrm{.}3k\frac{N}{m}.$ Assume the hoist has negligible size and weight, and can travel the entire length of the beam. Also, assume $B$ is a pin and $D$ is a roller. Use this information to answer Parts A though C below.

Learning Goal:

To find the maximum reaction, shear, and moment at specified points in a beam that is

subjected to moving loads. This tutorial will use influence lines to find these maximum values

Influence lines are constructed using a dimensionless unit load. Therefore, the value of the

function for any concentrated force $F$ can be found by multiplying the ordinate of the influence

line at the position $x$ by the magnitude of $F.$ The location of a concentrated load that will

produce a maximum value of a function $($reaction$,$ shear, or moment$)$ corresponds to the

maximum influence ordinate.

Influence lines can also be used to find values of a beam that is subjected to a distributed

loading. The value of a function caused by a uniform distributed load is equal to the area

under the influence line multiplied by the intensity of the uniform load. For maximum positive

$($or negative$)$ reaction, shear, or moment, a distributed live load should cover the regions of the

beam where the sign of the influence is positive $($or negative$).$ Furthermore, from the influence

line, one can determine the location of a live load that will produce the maximum value of a

function.

Part A $-$ Maximum reaction at $D$

Determine the maximum positive vertical reaction at support $D.$

Express your answer in kN to three significant figures.

$>$ View Available Hint$($s$)$

$(D_y{)}_{\text{m}\text{a}\text{x}}=222\mathrm{.}11kN$

Part B $-$ Maximum shear at $C$

Determine the maximum positive shear that can be developed at point $C.$

Express your answer in kN to three significant figures.

View Available Hint$($s$)$

Previous Answers

X Incorrect; Try Again; One attempt remaining

Part C $-$ Maximum moment at $C$

Determine the maximum moment in the beam at point $C.$

Express your answer in $kN*m$ to three significant figures.

View Available Hint$($s$)$