8/12/2019 ENSC 11 Problem Set 4 Summer 2014

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PROBLEM SET 4

1. Draw the shear and bending moment diagrams for the beam and loadings shown. Indicate thevalues at all change of loading positions and at all points of zero shear. Also indicate the

degree of each curve and determine the absolute maximum values of the shear and bending

moment. Use the METHOD OF SECTIONS.

(ANSWER: Vmax= 30.5781 kN , Mmax= 112.8374 kNm)

(ANSWER: Vmax= 30.5781 kN , Mmax= 112.8374 kNm)

2. Use the Method of Sections to draw the shear and bending moment diagram of beamABCDEF. Indicate the degree of each curve. Identify the value of absolute maximum shear

and bending moment. Note that Cis an internal pin andFis a roller support.

(ANSWER: kNV 30max = Mmax = 109.7321 kNm)

8/12/2019 ENSC 11 Problem Set 4 Summer 2014

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10N/m

30N/m

5N/m

10N/m

15Nm

P12

5

A

B C

ED F

G

1m

1m

4m 2m 1.5m 3.5m 2m 6m

3. Draw the shear and bending moment diagrams for problems 1 and 2. Indicate the values at allchange of loading positions and at all points of zero shear. Also indicate the degree of each

curve and determine the absolute maximum values of the shear and bending moment. Use the

method specified for each problem.

(ANSWER: Vmax = 31.67 kN, Mmax = 92.5 kNm)

4. The beam shown below is supported by a pin at A and a roller at G. Use the method of area todraw the shear and bending moment diagram of the beam ABCDEFG. Indicate the degree of

each curve. Identify the value of absolute maximum shear and bending moment. Also

calculate the value of force P if the horizontal force acting on pin A is

N.

100 N