📘 structural engineering

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

1. **Problem Statement:** A simply supported beam AB of length 5 m has a uniformly distributed load (UDL) of 10 kN/m over a 2 m length starting 1 m from support A.

1. **Problem Statement:** A simply supported beam AB of length 5 m has a uniformly distributed load (UDL) of 10 kN/m applied from 1 m to 3 m from point A (i.e., over 2 m length).

1. The problem is to understand and draw the shear force and bending moment diagrams for a beam under given loads. 2. The shear force at a section of a beam is the algebraic sum of

1. **Problem Statement:** We have a simply supported beam with a uniform distributed load (UDL) of 1.5 kN/m over its entire length of 3 m.

1. مسئله: در خرپای شکل داده شده، قسمت الف: محاسبه عکس العمل‌های تکیه‌گاهی با بار $P=10$ کیلو نیوتن و طول افقی $AC=0.8$ متر. 2. فرمول‌ها و قوانین مهم:

1. مسئله: محاسبه عکس‌العمل‌های تکیه‌گاهی و نیروهای داخلی اعضای خرپاهای داده شده. 2. برای محاسبه عکس‌العمل‌های تکیه‌گاهی از قوانین تعادل استفاده می‌کنیم:

1. **Stating the problem:** Calculate the axial forces in members S1, S2, S3, S4, and S5 of the given truss using the Ritter Method.

1. **Problem statement:** Given a beam with supports at A and B, a point load $P=20$ at D, a uniformly distributed load $q=5$ over segment AD (4m), and a moment $M=20$ at B. The be