📘 structural engineering

1. **Problem Statement:** We need to construct load, shear, and moment diagrams for three beams with given loads and spans using the semigraphical approach.

1. **Problem Statement:** Design the critical slab panel using the ACI moment-coefficient method according to BNBC 2020 loading requirements with material properties $f'_{c} = 4$ k

1. **State the problem:** Determine the force in member BF of the truss using the method of joints and verify it using the method of sections.

1. **State the problem:** We have a vertical truss with horizontal forces applied at points B (23 kN left), C (63 kN left), and D (63 kN right). The truss has vertical segments of

1. **State the problem:** We have a vertical truss structure with horizontal forces of 23 kN at B, 63 kN at C, and 63 kN at D acting to the right. The vertical segments between poi

1. **Problem Statement:** We have a simply supported beam of length 10 m with two downward forces: a 10 kN force at 3 m from the left support acting at an angle downward-left, and

1. **State the problem:** Calculate the reaction forces at the fixed support (left vertical side) and the hinge support (right bottom corner) for a right-angled triangular beam wit

1. **Stating the problem:** We have a right triangle with a distributed load of 5 kN/m acting along the hypotenuse, which has length calculated from the base 2.3 m and height 1.2 m

1. **Problem statement:** A three-hinged parabolic arch with a span of 50 m and a central rise of 4 m is subjected to a uniformly distributed load (UDL) of 20 KN/m over half the sp

1. **Problem Statement:** Calculate the neutral axis depth $x$, moment of inertia $I$, and safe moment capacity $M_c$ for a reinforced concrete section with width $b=300$ mm, effec

1. **State the problem:** We need to design member AB of a truss subjected to various loads and reactions. Given loads are vertical forces at points A, B, C, D, F, and G, with angl

1. مسئله را بیان می کنیم: هدف حل نیروها و ممان ها بر روی تیر تحت بارگذاری‌های داده شده است. 2. ابتدا بارگذاری های داده شده را تفکیک می کنیم:

1. **State the problem:** We need to design a compression member 3m long using a pair of angles with long legs back to back, connected by a 10 mm gusset plate at each end. The memb

1. **State the problem:** Design a W-shape column subjected to a load of 600 kN, unbraced about both major (9 m) and minor (3.5 m) axes, with allowable stress given by $$F = 119 -

1. **Stating the problem:** We need to design a compression member 3 m long using a pair of back-to-back angles with a 10 mm gusset plate at each end. 2. **Given:** Length $L=3$ m,

1. **State the problem:** We need to design a W shape column subjected to a load of 600 kN and check its bending stress using the formula $$F_b = 119 - 0.0034 \left(\frac{L}{r}\rig

1. **State the problem:** We need to design a W-shape column subject to a load of 600 kN with given unbraced lengths about major and minor axes and check the allowable stress using

1. **Problem statement:** We have a beam with supports A, B, and C, spans AB = 5 m, BC = 6 m (4 m + 2 m), with distributed load 40 kN/m on AB and a 45 kN point load at B-C start. M

1. **State the problem:** Given a beam with a uniformly distributed load (UDL) of 3 kN/m over 5 m from point A to B, a clockwise moment of 15 kN·m applied at point C, and supports

1. The problem: Find the ultimate moment capacity of an irregular beam. 2. Step 1: Understand that the ultimate moment capacity ($M_u$) of a beam is the maximum moment that the bea

1. **Problem statement:** We need to compute the depth of the compressive stress block in a beam with a stepped cross-section. 2. **Given data:**