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Bar fixed at both ends (in series)

Gives the reactions, axial forces, stresses and extensions for a bar fixed to rigid walls at both ends and loaded axially at an intermediate point C. Length, sectional area and Young's modulus can be set for each segment, so stepped bars and bars made of two materials are covered as well.

Diagram: Tension and compression Bar fixed at both ends (in series)

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Input

Load
PP
Section 1Length
L1L_1
Section 1Cross-sectional area
A1A_1
Section 1Young's modulus
E1E_1
Section 2Length
L2L_2
Section 2Cross-sectional area
A2A_2
Section 2Young's modulus
E2E_2

Result

End AReaction force
RAR_A
End BReaction force
RBR_B
Section 1Axial force
N1N_1
Section 2Axial force
N2N_2
Section 1Stress
σ1\sigma_1
Section 2Stress
σ2\sigma_2
Section 1Extension
λ1\lambda_1
Section 2Extension
λ2\lambda_2
CheckTotal extension
λ1+λ2\lambda_1 + \lambda_2
Point CDisplacement
δC\delta_C

Related pages

Bar fixed at both ends (in series) | Updraft - Mechanical Engineering Calculators