Search
- Filter Results
- Location
- There are no locations to filter by
- Classification
- Include attachments
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/zz%3A_Back_Matter/10%3A_Index
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/06%3A_Applications_of_Castiglianos_Theorems/6.01%3A_Castiglianos_second_theoremPage created for new attachment
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/08%3A_Laminated_bars_of_fiber-reinforced_polymer_composites/8.04%3A_Principle_of_complementary_virtual_workPage created for new attachment
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/00%3A_Front_Matter/07%3A_21%3A_Untitled_Page_03The important topic of work and energy is covered in chapter 5, and chapter 6 is devoted to the application of Castigliano’s theorems to trusses, beams, and frames. The response of closed and open sec...The important topic of work and energy is covered in chapter 5, and chapter 6 is devoted to the application of Castigliano’s theorems to trusses, beams, and frames. The response of closed and open section bars fabricated from a fiber-reinforced polymer composite (FRP) is presented in chapter 8, and failure initiation of FRP bars is presented in chapter 9.
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/00%3A_Front_Matter/02%3A_InfoPageThe LibreTexts libraries are Powered by NICE CXOne and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the Californi...The LibreTexts libraries are Powered by NICE CXOne and are supported by the Department of Education Open Textbook Pilot Project, the UC Davis Office of the Provost, the UC Davis Library, the California State University Affordable Learning Solutions Program, and Merlot.
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/05%3A_Work_and_energy_methods/5.01%3A_Strain_energy_density_in_shearPage created for new attachment
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/00%3A_Front_Matter/05%3A_21%3A_Features_of_This_Open_TextbookYou are free to copy, share, adapt, remix, transform, and build upon the material for any not primarily commercial purpose, as long as you follow the terms of the license: https://creativecommons.org/...You are free to copy, share, adapt, remix, transform, and build upon the material for any not primarily commercial purpose, as long as you follow the terms of the license: https://creativecommons.org/licenses/by-nc-sa/4.0. You may do so in any reasonable matter, but not in any way that the licensor endorse you or your use. ShareAlike—If you remix, transform, or build on the material, you must distribute your contributions under the same license as the original.
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/16%3A_Applications_of_the_direct_stiffness_methodThe distributions of the shear force ([eq16.32]) and the bending moment ([eq16.30]) for the boundary value problem ([eq16.28]) are \[\begin{aligned} \label{eq16.43} \left[\begin{array}{@{}l@{}}V_{y}^{...The distributions of the shear force ([eq16.32]) and the bending moment ([eq16.30]) for the boundary value problem ([eq16.28]) are \[\begin{aligned} \label{eq16.43} \left[V1y(z)M1x(z)\right]=E I\left[−v′′′1−v′′1\right]=E I\left[\begin{array}{@{}cccc@{}}-\eta_{1}{ }^{\prime \prime \prime} & -\eta_{2}^{\prime \prime \prime} & -\eta_{3}^{\prime \prime \prime} & -\e…
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/03%3A_Elements_of_a_thin-walled_bar_theoryTo locate the shear center relative to the centroid, substitute the expression for the normal coordinate rn(s) from eq. ([eq3.10]) into the preceding geometric properties of the shear center to...To locate the shear center relative to the centroid, substitute the expression for the normal coordinate rn(s) from eq. ([eq3.10]) into the preceding geometric properties of the shear center to get \[\begin{gathered} \int_{c} r_{n}(s) \bar{Q}_{y}(s) d s=\int_{c} r_{n c}(s) \bar{Q}_{y}(s) d s-x_{s c} \int_{c} \bar{Q}_{y}(s) \frac{d y}{d s} d s+y_{s c} \int_{c} \bar{Q}_{y}(s) \frac{d x}{d s} d s=0\mbox{, and}\label{eq3.103}\\ \int_{c} r_{n}(s) \bar{Q}_{x}(s) d s=\int_{c} r_{n c}(s) \bar{Q}…
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/05%3A_Work_and_energy_methodsTo account for the torque, evaluate the second integral on the right-hand side of eq. ([eq5.56]) for torsion of the open section with the straight contour presented in article [sec3.9] on page . From ...To account for the torque, evaluate the second integral on the right-hand side of eq. ([eq5.56]) for torsion of the open section with the straight contour presented in article [sec3.9] on page . From eq. ([eq3.119]) on page these stress resultants are mzs=t36J(1−coshkscoshλ)Mzqz=−2Gtsinhkskcoshλ(dϕzdz)−b/2≤s≤b/2, wh…
- https://eng.libretexts.org/Under_Construction/Aerospace_Structures_(Johnson)/18%3A_Introduction_to_flexible_body_dynamics/18.08%3A_Dynamic_bending_of_a_bar_with_two_axes_of_symmetryT . The virtual generalized displacements b 1 ( k ) , b 2 ( k ) , and b 3 ( k ) correspond to the internal degrees of freedom u 1 ( k ) ( t ) , u 2 ( k ) ( t ) , and u 3 ( k ) ( t ) , respectively. At...T . The virtual generalized displacements b 1 ( k ) , b 2 ( k ) , and b 3 ( k ) correspond to the internal degrees of freedom u 1 ( k ) ( t ) , u 2 ( k ) ( t ) , and u 3 ( k ) ( t ) , respectively. At the common node z k between elements Ω k − 1 and Ω k there is an equilibrium relation between the externally applied force Q 2k − 1 and the externally applied moment Q 2k and the internal actions at the end of element Ω k − 1 and the beginning of element Ω k . Refer figure 18.17.
