📘 structural engineering

1. **Problem Statement:** Determine the shear force $V_{3,3}$ and bending moment $M_{3,3}$ at section 3-3 of the cantilever beam subjected to a uniform load $F=15.3$ kN/m and point

1. **Problem Statement:** Calculate the reactions and internal forces in the truss members given the external loads and geometry.

1. **Stating the problem:** We have a portal frame with a trapezoidal distributed load on the top beam CD, a horizontal point load of 5 TON at mid-height of vertical member BD, and

1. **Problem Statement:** Design a welded steel frame using an I-beam to support a 2000 kg machine placed at the center of the frame. The frame is simply supported at both ends and

1. **Problem Statement:** Determine the end moments and reactions of the given frame using the Slope Deflection Method.

1. **Stating the problem:** Calculate the moments $M_0$, $M_a$, $M_b$, $M_c$, $M_d$, and the maximum moment $M_{max}$ for a beam with given loads and distances.

1. **Problem statement:** Calculate and plot the internal force diagrams (shear force and bending moment) of the given beam structures using the force method (Phương pháp PTHH) wit

1. **Problem Statement:** Determine the forces in all truss members of the given structure using the method of joints.

1. **Problem Statement:** Determine the forces in all truss members of the given structure using the method of joints.

1. **Problem Statement:** We have a beam with a uniformly distributed load (UDL) $w = 10$ kN/m over the first 2 meters from the left support A, and a point load of 50 kN downward a

1. **Problem Statement:** Calculate the reactions at supports A and B for a simply supported beam with a uniformly distributed load $w=10$ kN/m over 2 m and a point load of 50 kN a

1. **Problem Statement:** Solve the given statically indeterminate beam using the moment distribution method. Then, draw the shear force and bending moment diagrams.

1. **State the problem:** We have a simply supported beam with a concentrated load of 82 kN at 1.6 m from point A and a uniformly distributed load (UDL) of 45 kN/m extending 5 m fr

1. **Problem Statement:** Calculate the reaction forces $R_a$ and $R_b$ at the beam supports, then determine the shear force $V(x)$ and bending moment $M(x)$ diagrams for the beam

1. **Problem Statement:** We have a beam AB with a total length of 3 meters, divided into two segments: 2 meters from A to the midpoint, and 1 meter from the midpoint to B. A clock

1. **مشكلة:** لدينا كمره أفقية AB مدعومة بدعامتين: دعم مثلثي عند A ودعم متدحرج عند B. 2. هناك عزم دوران مقداره 3 KN·m مؤثر في منتصف الكمره، بين A و B.

1. **Problem Statement:** Draw the shear force and bending moment diagrams for the first beam: a simply supported beam of length 3m with a moment of 3 KN.m applied at 2m from the l

1. **Stating the problem:** Calculate the moment resistance $M_p$ of a rectangular cross-section given the area $A = 8000$ cm$^2$, allowable stress $S_e = 250$ MPa, and dimensions

1. **Problem Statement:** Calculate the Shear Force Diagram (SFD) and Bending Moment Diagram (BMD) for a beam with:

1. **Problem Statement:** Draw the axial force diagram for the member shown in Figure 4 with forces: 5 kN left at left end, 3 kN left in the middle, 5 kN right near middle-right, a

1. **Problem Statement:** Calculate the magnitude of the reaction at point A for the given truss loaded with 660 KN at B and 966 KN at I, where $a=1.6$ m, $b=0.6$ m, and $\tan(\the