In Figure Q6, a simply supported 3.50 m long beam (L) has a concentrated point load (F) of 150 kN acting at the mid-point of the beam. The beam has a solid and homogeneous L-shaped cross-section with the following dimensions: h= 125 mm, t= 15 mm and w 90 mm Load Support Figure Q6 a) Determine the centroid coordinates (&,9) for the beam section shown in Figure Q6. Give your answer relative to the origin (0) in millimetres (mm) and to two decimal places. b) Calculate the second moment of area about its centroidal x-axis for the L-shaped section shown in Figure Q6. Assume the beam section is the solid and homogeneous. Give your answer in mm'to two decimal places. c) Calculate the maximum tensile stress (Onsie ma] and the maximum compressive stress (dcomgresse_n] for the beam in Figure Q6. 'Assume that the weight of the beam is zero and that the beam section is solid and uniform along its entire length. Give your answer in Nimm2 to 2 decimal places.

In Figure Q6, a simply supported 3.50 m long beam (L) has a concentrated point load (F) of 150 kN acting at the mid-point of the beam. The beam has a solid and homogeneous L-shaped cross-section with the following dimensions: h= 125 mm, t= 15 mm and w 90 mm Load Support Figure Q6 a) Determine the centroid coordinates (&,9) for the beam section shown in Figure Q6. Give your answer relative to the origin (0) in millimetres (mm) and to two decimal places. b) Calculate the second moment of area about its centroidal x-axis for the L-shaped section shown in Figure Q6. Assume the beam section is the solid and homogeneous. Give your answer in mm'to two decimal places. c) Calculate the maximum tensile stress (Onsie ma] and the maximum compressive stress (dcomgresse_n] for the beam in Figure Q6. 'Assume that the weight of the beam is zero and that the beam section is solid and uniform along its entire length. Give your answer in Nimm2 to 2 decimal places.

Structural Analysis

6th Edition

ISBN:9781337630931

Author:KASSIMALI, Aslam.

Publisher:KASSIMALI, Aslam.

Chapter2: Loads On Structures

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

W₂ = 30 kN/m W₁ = 10 kN/m B A L=12 m Given: E-200x10³ MPa, I-120x106 mm² For the beam shown, you are at liberty to choose any of the two methods (DIM or MAM) to determine the following: Upward reaction at support B. Re kN Upward reaction at support A RA KN 8m C
7. A steel bar of 25 mm diameter is acted upon by forces as shown in Fig-2. What is the elongation of the bar? Take E - 190 GPa. 60 kN4 A A ا 20KN B C 30 kN B C -2m-1m 3m 2* Figure-2 D D 50 KN
Q1: Compute the value of Elð at the distance 3m from A for the beam shown below: - 1 kN/m M-2 kN-m 3m R
Homework H.W1: Determine the design moment strength for each of the following A) f = 25 MPa fy = 420 MPa %3D 70 mm 520 mm 540 mm S425 300 mm 2 m 2 m
The beam in the figure below is fabricated by attaching a C180x14.6 channel to a W250x17.9 shape with 15-mm-dia rivets at uniform spacing "s". The maximum shear force in the beam is 65 kN. Given properties: CI80x14.6: A- 1850 mm^2; d- 178 mm; Kg 13.8 mm I, -0.405x106 mm^4; t. - 5.3 mm; t- 9.3 mm W250x17.9: A - 2270 mm 2; d - 251 mm; I, – 22.4x10°6 mm^4 ty - 4.8 mm; t- 5.3 mm CI80 x 14.6 W250 x 17.9 1. Calculate the moment of inertia of the built up section about the horizontal axis located 78.26 mm from the top. The answer is in x10°6 mm^4. A. 36,76 В. 22.80 C. 27.46 D. 31.06 2. Determine the strength (kN) of the connection within spacing "s" based on rivet shear if the working stress for a rivet is 100 MPa. A. 140 В. 35.34 C. 180 D. 200 3. Determine the shear flow "q" (N/mm) that must be sustained by the rivets A. 243.72 В. 172.39 C. 191.02 D. 211.84 Find the maximum allowable spacing (mm) of the rivets if the working. A. 140 4. В. 160 C. 180 D. 200 5. What is the corresponding…
For the given properties of the beam below, determine the safest wu that the beam will carry. bf = 850mm bw = 400mm tf = 100mm %3D d = 400mm d' = 100mm fc' = 34MPA fy = 400MPA As = 8-32mm bars %3D The answer is kN/m Pu bf キ 50 KN (Factore d) load Wu As t. A 5m + bw +
The beam is subjected to the distributed load and the couple shown. If M is slowly increased starting from zero, at what value Mo will contact at B change from the lower surface to the upper surface? y 240 Ib/ft L-- x M A 3.2' 3.2' 3.2' 3.2' [4997.12 Answer: Mo = Ib-ft
PLATE # 3 CALCULATE Oo AND Yo OF THE BEAM LOADED AS SHOWN USING CONJU GATE BEAM METHOD 5KN/m 20KN 30 KN M 2m 2m 2m 2m Im 21 E CONSTANT
Q4/ determine the design moment capacity of the beam shown in figure use fy=400 N/mm2 Fc = 25 N/mm2 60mm As' = 400mm? 450mm Dr. Ali A As = 1550mm 6Smm 300mm
Obtain an expression for the deflection curve of the simply supported beam of Fig. 8-7 subject to the uniformly distributed load w. W mmmmm Fig. 8-7 Determine the maximum deflection of above beam if E=100GPa ● W=200N/m L=4m Rectangular beam section 2cmx8cm (W x D) In addition, you are asked to, W ● Evaluate the types of connection that will be needed to provide the simply supported design ● Discuss the relationship between bending shear, and deflection. • Evaluate steel and reinforced concrete and their structural efficiency in managing bending shear, and deflection. Answer All Questions.
Ql: Compute the value of Eld at the distance 3m from A for the beam shown below: 1 kN/m M-2 kN-m 3 m 1 m B I m
Yo 3.5 3/4 1. The cross section shown in the figure is a structural member known as a z- section.Compute the following: (1) cross sectional area, (2) centroidal moment of inertia,lxo. And (3) centroidal moment of inertia, lyo. 2.625 6-4.5- 3/4 3/4 3/4 '1.375 3.5