📘 structural engineering

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

1. The problem is to understand and apply the method of joints to analyze trusses. 2. The method of joints involves isolating each joint in a truss and applying the equilibrium equ

1. **Problem Statement:** Calculate the support reactions, draw the shear force diagram, and draw the bending moment diagram for a beam with the following data:

1. مسئله: ترسیم دیاگرام شکل پذیری ستون AB و تعیین معیار پذیرش برای حد ایمنی جانبی در صورت‌زیه با توجه به بار محوری 120 تن و مشخصات داده شده. 2. داده‌ها و پارامترها:

1. **Problem Statement:** Determine the axial force on member DE in kiloNewtons using the cantilever method.

1. **Stating the problem:** We have a rectangular frame with vertical height $h=4$ m and horizontal length $b=a=6$ m.

1. **State the problem:** We need to draw the shear force and bending moment diagrams for a beam with the following loads and supports:

1. **Problem Statement:** Calculate the vertical deflection at point U on a simply supported beam with two downward point loads each of magnitude $\frac{P}{2}$ applied at points T

1. **Problem Statement:** We need to draw the shear and moment diagrams for a compound beam ABC with a pin at B.

1. **Problem Statement:** Determine the end shear forces and end moments for a beam subjected to a distributed load of 540 lb/ft along the hypotenuse of a right triangle with legs

1. **Problem Statement:** Using the method of sections, determine the forces in members DE, DH, and IH of the given truss.

1. **Problem Statement:** Calculate the nominal axial load strength $P_n$ and nominal shear capacities along x and y directions for a rectangular column with given dimensions and m

1. **Problem Statement:** Calculate the nominal axial load strength $P_n$ of a rectangular column with dimensions $W=400$ mm and $L=600$ mm, concrete compressive strength $f'_c=28$

1. **Problem Statement:** Calculate the nominal axial load strength $P_n$ and nominal shear capacities along the x- and y-directions for a rectangular reinforced concrete column wi