📘 statics

1. **Stating the problem:** We have a truss structure with vertical downward forces of 10 kN applied at points F, G, and E. Supports are at points A (triangular support) and D (rol

1. **State the problem:** We need to find the reaction forces at supports D (pinned) and B (roller) for the given truss with external loads: 800 lb downward at A and 200 lb rightwa

1. **Problem Statement:** Find the centroid of the first composite L-shaped figure with given dimensions in mm: vertical height 60 mm, horizontal top width 80 mm, vertical lower in

1. **Problem Statement:** Calculate the tension in cables AE and AD, and the components of the reaction force at the ball-and-socket joint C for a 2.4-m boom subjected to forces at

1. **Masalah:** Sebuah balok cantilever dengan panjang $L=4$ m dijepit pada ujung kiri dan diberi beban titik $P=600$ N ke bawah pada ujung kanan. 2. **Reaksi tumpuan pada ujung je

1. **Problem Statement:** Determine the tension $T$ in the cable and the reaction at point A for the given structure with a 500 N force applied at point C.

1. **Problem Statement:** Determine the tension in each segment of the cable ($F_{BA}$, $F_{BC}$, $F_{CD}$) and the total length of the cable.

1. **Problem statement:** Calculate the reaction force at pin A in a static system. 2. **Understanding the problem:** The reaction force at a pin is the force exerted by the suppor

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