Qa) a) Determine the 2nd moment of area? ? = ..... ??4 ? Write down the formula to calculate the final 2nd moment of area: Qb) b) Calculate support reactions in A and C, only type the magnitude values. Reaction force at point A: x-direction: ?? =.....N, y-direction: ?? = .......N? Reaction force at point B: x-direction: ??=....... N, y-direction: ??= .......N? Qc) c) Calculate the equations of shear force ?(?) and bending moment ?(?). Type the mathematical expressions or constants. Section AB: Shear force equation ?(?)=.....N Bending moment equation ?(?)=:.....N*mm Section BC: Shear force equation ?(?)=:.... N Bending moment equation ?(?)=:......N*mm
Qa)
a) Determine the 2nd moment of area?
? = ..... ??4 ?
Write down the formula to calculate the final 2nd moment of area:
Qb)
b) Calculate support reactions in A and C, only type the magnitude values.
Reaction force at point A:
x-direction: ?? =.....N, y-direction: ?? = .......N?
Reaction force at point B:
x-direction: ??=....... N, y-direction: ??= .......N?
Qc)
c) Calculate the equations of shear force ?(?) and bending moment ?(?). Type the mathematical expressions or constants.
Section AB:
Shear force equation ?(?)=.....N
Bending moment equation ?(?)=:.....N*mm
Section BC:
Shear force equation ?(?)=:.... N
Bending moment equation ?(?)=:......N*mm
Qd) Attached below.
Qe)
e) What is the maximum magnitude of shear force and bending moment, neglecting the sign?
Maximum magnitude of shear force, positive value: .........N
Maximum magnitude of bending moment, positive value: .......N*mm
f) Determine the maximum bending stress and shear stress that occurs in the beam, considering the sign.
Maximum bending stress: .....MPa
Maximum shear stress:..... MPa
Bending stress equation
Write down equation to calculate the maximum bending stress:
Definition of variables: maximum moment is ??, 2nd moment of area ?0, maxium distance from the netural plane ??
Shear stress equation
Write down the shear stress equation:
The definition of the variables are: Shear force ?, 1st moment of Area ?, 2nd moment of area ?0, width of cross-section feature ?t.
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