8/10/2019 Probset 4 (Shear and Bending)

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8/10/2019 Probset 4 (Shear and Bending)

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ESDepartment of Engineering Science

College of Engineering and Agro-Industrial Technology

University of the Philippines Los Baos

PROBLEM 2

Draw the shear and bending moment diagram of the given beam using the method of sections. Indicate the

degree of curve in each section. Identify the absolute maximum value of shear and bending moment and

indicate their locations with respect to point A. The beam is supported by internal hinges at points C and D.

Ans: Vmax= 54.4 kips, x = 18 ft and 23 ft from A

Mmax= 183.15 kips-ft, x = 26.63 ft from A

8/10/2019 Probset 4 (Shear and Bending)

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ESDepartment of Engineering Science

College of Engineering and Agro-Industrial Technology

University of the Philippines Los Baos

PROBLEM 3

The beam shown below is supported by a roller at A and a pin at F. Use the method of area to draw

the shear and bending moment diagram of the beam ABCDEF. 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 F is 25 kN.

Ans: Vmax= 38.5631 kips

Mmax= 102.4986 kips-ft

8/10/2019 Probset 4 (Shear and Bending)

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ESDepartment of Engineering Science

College of Engineering and Agro-Industrial Technology

University of the Philippines Los Baos

PROBLEM 4

The beam shown below is supported by a roller at A and a pin at G. Use the method of area to draw 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 G is 48.91 N.

Ans: Vmax= 90.4246 N

Mmax= 163.5385 N-m