A two-member truss $ PQR $ is supporting a load $ W $. The axial forces in members $ PQ $ and $ QR $ are respectively
Consider Joint Q and apply equilibrium equations
$ \begin{array}{l}\xrightarrow+{\mathrm{ΣF}}_\mathrm x=0\;;\;\;\;\;\;\;-{\mathrm F}_\mathrm{QR}\;\cos30^\circ-{\mathrm F}_\mathrm{PQ}=0......(1)\\\downarrow{\mathrm{ΣF}}_\mathrm x=0\;;\;\;\;\;\;\;\;\mathrm W+{\mathrm F}_\mathrm{QR}\;\cos60^\circ=0........(2)\\{\mathrm F}_\mathrm{QR}=-\mathrm W\times2=-2\mathrm W\\\mathrm{Using}\;(1)\Rightarrow\mathrm{FQR}=2\mathrm\omega\;(\mathrm{compressive})\\{\mathrm F}_\mathrm{PQ}=-{\mathrm F}_\mathrm{QR}\;\cos30^\circ=2\mathrm W\;\cos30^\circ=\sqrt3\mathrm W\\\mathrm{PQ}=\sqrt3\mathrm W\;(\mathrm{Tensile})\\\end{array} $
For the turss shown in figure, the magnitude of the force in member PR and the support reaction at R are respectively
@ Q moment is zero
$100\;\cos60^\circ\times4=Rr\times4$
Rr = 50 kN
Now,
Rr = $F_{PR}$ sin45
$F_{PR}$ = Rr / sin45
=70.71 kN .
For the truss shown in figure , the magnitude of the force (in kN) in the member SR is
A two member truss ABC is shown in the figure. The force (in kN) transmitted in member AB is _______
In a statically determinate plane truss, the number of joints (j) and the number of members (m) are related by
For the truss shown in the figure, the forces F_{1} and F_{2} are 9 kN and 3 kN, respectively. The force (in kN) in the member QS is
A frame is subjected to a load P as shown in the figure. The frame has a constant flexural rigidity EI. The effect of axial load is neglected. The deflection at point A due to the applied load P is
Two steel truss members, AC and BC, each having cross sectional area of 100 mm^{2}, are subjected to a horizontal force F as shown in figure. All the joints are hinged.
If F = 1 kN, the magnitude of the vertical reaction force developed at the point B in kN is
The maximum force F in kN that can be applied at C such that the axial stress in any of the truss members DOES NOT exceed 100 MPa is
Consider a truss PQR loaded at P with a force F as shown in the figure
The tension in the member QR is