📘 statics

1. **Problem Statement:** Determine the reactions at supports A and F, and find the forces in all members of the truss subjected to three vertical downward loads of 560 N each at p

1. **Stating the problem:** We are given forces and moments acting on a rod fixed at a clamp, with known values $M_y=4$ Nm, $M_z=2$ Nm, $F=3$ N, $F_G=1$ N, $a=1$ m, and angle $\alp

1. **Problem Statement:** Determine the value of force $P$ required to push the wedge given that the angle of friction $\phi$ for all surfaces in contact is 15° and the weight $W_B

1. **Énoncé du problème :** Calculer le moment résultant des deux forces de $F=30$ N par rapport au point $O$, avec les distances $a=0{,}7$ m et $b=1{,}7$ m.

1. **Problem Statement:** Given lengths $L_1=2$ in, $L_2=3$ in, $L_3=6$ in, and $L_4=4$ in, and a downward force $F$ applied at point C, find the reactions at supports A and D for

1. **Problem Statement:** Determine the tension in ropes AB, AC, and AD when a balloon at point A (0,0,6) m is subjected to a net uplift force $F = 800$ N upward along the z-axis.

1. Let's start by stating the problem: You need help with a statics problem, which typically involves analyzing forces and moments to ensure a system is in equilibrium. 2. The fund

1. **Problem Statement:** Solve for the reactions and internal member forces of the nine-member truss shown with external loads of 1,000 lb at joint B and 500 lb at joint A.

1. **Problem Statement:** Determine the reactions at the supports for the beam ABCD with point loads 150 kN at B, 60 kN at D, and a uniformly distributed load (UDL) of 12 kN/m over

1. Énonçons le problème : Nous devons recalculer les forces $F_M$ et $R_A$ dans un système mécanique donné. 2. Formules utilisées : Pour un système en équilibre, la somme des force

1. **Problem Statement:** We have three forces acting on a structure: $F_1 = 4$ kN directed along the positive x-axis, $F_3 = 5$ kN directed downward along the negative y-axis, and

1. **Problem Statement:** Determine the force in each member of the truss and state whether each member is in tension (T) or compression (C).

1. **Problem Statement:** Calculate the centroid, moments of inertia about the x and y axes, and centroidal moments of inertia parallel to the x and y axes for the given composite

1. **State the problem:** We have a vertical truss with forces applied at joints D (23 kN upward), F (20 kN right), and G (20 kN right). Supports are at A (left fixed) and A (right

1. **Stating the problem:** We have a right triangle with a vertical side of 1.2 m, a horizontal base of 2.3 m, and a hypotenuse with a distributed load of 5 kN/m acting downward.

1. **State the problem:** We have a right triangle with base $2.3$ m and height $1.2$ m, fixed support on the left, pinned support on the right, a horizontal force of $6$ kN to the

1. **State the problem:** We have a beam with a distributed load of 30 N/m over 40 cm on the left side and a point force of 10 N acting to the left at the left end. The beam length

1. **State the problem:** We need to find the length of cord AC so that an 8-kg lamp is suspended in equilibrium at point A. The spring AB has an undeformed length $l_{AB} = 0.4$ m

1. **State the problem:** We have two pipes weighing 43 kg and 28 kg supported at points A and B by two cords AB and AD and a spring CB. The system is in equilibrium with angles \(

1. **Problem statement:** A light ladder leans against a smooth vertical wall at an angle of 30° to the horizontal. A load of 800 N is placed three-quarters of the way up the ladde

1. **State the problem:** We have a beam AB of length 10 ft with a trapezoidal distributed load starting at 120 lb/ft at A and increasing linearly to 280 lb/ft at B. We need to fin