Problem 5: A beam with simple supports is subjected to a trapezoidally distributed load (see figure). The intensity of the load varies from $1.0 kN / m$ at support $A$ to $2.5 kN / m$ at support $B$ . Determine: a. The location and value of the maximum shearforce in the beam. Assume that $M_{?}$ at $B$ is zero. b. The location and value of the maximum bendingmoment in the beam. Assume that $M_{0}$ at $B$ is zero. c. The required moment $M_{?}$ at $B$ so that the maximum moment in the beam does not exceed $1.0 kN ? m$ .

Question

Problem 5: A beam with simple supports is subjected to a trapezoidally distributed load (see figure). The intensity of the load varies from

1.0 kN / m

at support

A

to

2.5 kN / m

at support

B

. Determine: a. The location and value of the maximum shearforce in the beam. Assume that

M_{?}

at

B

is zero. b. The location and value of the maximum bendingmoment in the beam. Assume that

M_{0}

at

B

is zero. c. The required moment

M_{?}

at

B

so that the maximum moment in the beam does not exceed

1.0 kN ? m

.

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Solution for -  Problem 5: A beam with simple supports is subjected to a trapezoidally distributed load (see figure

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