{[ promptMessage ]}

Bookmark it

{[ promptMessage ]}

S_-_Internal_Forces_in_Structural_Member

S_-_Internal_Forces_in_Structural_Member - INTERNAL FORCES...

Info icon This preview shows pages 1–14. Sign up to view the full content.

View Full Document Right Arrow Icon
INTERNAL FORCES INTERNAL FORCES Internal Forces Developed in Structural Internal Forces Developed in Structural Members Members
Image of page 1

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
LEARNING OBJECTIVES LEARNING OBJECTIVES Be able to use the method of sections for Be able to use the method of sections for determining internal forces in 2-D load case determining internal forces in 2-D load case
Image of page 2
PRE-REQUISITE KNOWLEDGE PRE-REQUISITE KNOWLEDGE Units of measurement Units of measurement Trigonometry concepts Trigonometry concepts Rectangular component concepts Rectangular component concepts Equilibrium of forces in 2-D Equilibrium of forces in 2-D
Image of page 3

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
STRESSES AND STRAINS STRESSES AND STRAINS Stress is defined as load divided by the Stress is defined as load divided by the cross-sectional area on which it acts. cross-sectional area on which it acts. Strain is defined as the change in length divided by the original length. Stress = σ = Q/A Strain = ε = ΔL/L
Image of page 4
STRESSES AND STRAINS STRESSES AND STRAINS Stress = σ = Q/A Q Q A = πr 2 L ΔL Strain = ε = ΔL/L
Image of page 5

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
STRESSES AND STRAINS STRESSES AND STRAINS Stress = σ = Q/A Q Q A = πr 2 L ΔL Strain = ε = ΔL/L
Image of page 6
CALCULATION OF INTERNAL FORCES The internal forces developed in the beam at any section such as C can be determined using the following steps:
Image of page 7

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
CALCULATION OF INTERNAL FORCES Step 1 – Draw FBD of the structure (beam) and calculate the reactions at the support.
Image of page 8
CALCULATION OF INTERNAL FORCES Step 2 – Draw FBD of either the left or the right section of the structure (beam), this is similar to the method of sections.
Image of page 9

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
CALCULATION OF INTERNAL FORCES Step 3 – Calculate the internal forces (shear = V C , Normal = N C and moment = M C ) using the equations of equilibrium
Image of page 10
TYPE OF INTERNAL FORCES
Image of page 11

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
SIGN CONVENTION FOR SHEAR FORCES The internal shear force is considered positive if it causes clockwise rotation of the structural member under consideration and negative otherwise as shown below. Positive Negative
Image of page 12
SIGN CONVENTION FOR BENDING MOMENT The internal bending moment is considered positive if it causes compression in the top fiber of the structural member under consideration as shown below.
Image of page 13

Info icon This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 14
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern