Determine the maximum value of P (kN) without exceeding stress
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Q: 40 kN
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- A compression member s built up from a W14 x 90 and a W10 x 49, both of A992 steel with Fy = 50 ksi and E = 29000 ksi. Determine the moment of Inertia along the centroidal x-axis of this built up section,in in^4.Determine the concentrated load at midspan that can be added if theuniformly distributed load ω is 58 N/m that can beloaded for the beam shown if the allowable bending stress fortension is 80 MPa;, for compression is 130 MPa , for shearing stressis 48 MPa without exceeding deflection limit of L/360. E for steel is200 GPa.F=16 kN single load, M=22 kN.m moment and w=4 kN/m distributed load are acting on the beam whose loading condition is given in the figure. The length L is also given as L=2 m. The cross-sectional properties of the beam are; body height yg=244 mm, body thickness xg=10 mm, flange width xf=173 mm, flange height yf=18 mm. Point E on the section is located just below the flange-body junction. It is desired to determine the stress state in the section taken from the B level of the beam. According to this; Question1-A) Find the support response (Dy) at point D. (Write your result in kN.) Question1-B) Find the support response (Ay) at point A. (Write your result in kN.) Question1-C) Find the shear force (VB) at point B. (Write your result in kN.) Question1-D) Find the bending moment (MB) at point B. (Write your result in kN.m.) Question 1-E) Find the y distance of the center of the section with respect to the axis passing through the base of the section (Write your result in mm.) Question 1-F)…
- F=16 kN single load, M=22 kN.m moment and w=4 kN/m distributed load are acting on the beam whose loading condition is given in the figure. The length L is also given as L=2 m. The cross-sectional properties of the beam are; body height yg=244 mm, body thickness xg=10 mm, flange width xf=173 mm, flange height yf=18 mm. Point E on the section is located just below the flange-body junction. It is desired to determine the stress state in the section taken from the B level of the beam. According to this; Question1-A) Find the support response (Dy) at point D. (Write your result in kN.) Question1-B) Find the support response (Ay) at point A. (Write your result in kN.) Question1-C) Find the shear force (VB) at point B. (Write your result in kN.) Question1-D) Find the bending moment (MB) at point B. (Write your result in kN.m.A beam is subjected to equal bending moments of Mz = 55kipft The cross-sectional dimensions are b1= 6.3 in.. d1 = 1.5in b2 = 0.6in d2 = 6.2in b3 = 2.8in and d3= 2.2in Determine: (a) the centroid location (measured with respect to the bottom of the cross-section), the moment of inertia about the z axis, and the controlling section modulus about the z axis. (b) the bending stress at point H. Tensile stress is positive, while compressive stress is negative. (c) the bending stress at point K. Tensile stress is positive, while compressive stress is negative. (d) the maximum bending stress produced in the cross section. Tensile stress is positive. while compressive stress is negative.An I beam whose flange width is 357mm, flange thickness is 15mm, web thickness is 20mm, total depth of 450mm and Fy of 248MPa is to be used to carry a uniform load all throughout its length, 3m. 1. What is the allowable bending stress? a. 153.69 MPa b. 161.75 MPa c. 192.69 MPa d. 168.23 MPa 2. Determine the moment of inertia of the section. a. 0.732 x 10⁹ mm⁴ b. 0.517 x 10⁹ mm⁴ c. 0.630 x 10⁹ mm⁴ d. 0.810 x 10⁹ mm⁴ 3. What is the maximum safe uniform load that the beam could carry? a. 402.58 kN/m b. 164.6 kN/m c. 476.56 kN/m d. 541.6 kN/m
- The simply supported beam consists of a W21 × 44 structural steel wide-flange shape [E = 29,000 ksi; I = 843 in.4]. Assume d = 5 ft, w = 3 kips/ft, P = 48 kips. For the loading shown, determine (a) the beam deflection at point A. (b) the beam deflection at point C.The rigid beam hidden in the figure is fixed at the top by two posts (dext = 50mm), one in AISI 4340 steel and the other in 6063-T6 aluminum. The posts are 500 mm long when no load is applied to the beam, and the temperature is T1 = 20°C. Calculate the longitudinal displacements (δAl, and δFe) and half stresses (σAl, and σFe) in the posts when a homogeneously distributed load of 400 kN/m is applied, and the temperature is raised to T2 = 70°C. Calculate the factors of safety. Use EFe = 200 Gpa , and EAl = 70 Gpa. Elastic limit AISI 4340 (Sy = 786 MPa), and AA6063-T6 (Sy = 214 MPa). R:/ δAl= -0.15 mm; σAl=-21.4 Mpa; δFe= +0.05 mm σFe = +18.1 Mpa;A simple beam 50 mm wide x 250 mm deep is 7.5 m long has E = 12 411 MPa. The beam has a maximum deflection of 102 mm due to a uniform load over the entire span. A third support is to be placed at the midspan to eliminate the deflection. Which of the ff. gives the maximum bending moment of the beam in N-m.
- The rigid beam embedded in the Figure is fixed at the top by two posts, one in AISI 4340 steel (dext = 40mm) and the other in 6063-T6 aluminum. If it is desired that the beam appears horizontal after applying a homogeneously distributed load of 400 kN/m; Determine the diameter of the aluminum pole that felt this condition. The posts are 500 mm long when no load is applied to the beam. Calculate the longitudinal displacements (δAl , and δFe) and the half stresses (σAl , and σFe) in the posts. Calculate the factors of safety. Use EFe = 200 Gpa , and Eal = 70 Gpa. Elastic limit AISI 4340 (Sy = 786 MPa), and AA6063-T6 (Sy = 214 MPa) (answer :dAl = 67.6 mm δAl = -0.40 mm ; δFe = -0.40 mm σAl = -55.7 Mpa ; σFe = -159 Mpa ; FSAL = 3.8 FSFE = 4.9)Q/Choose the right choice 1-Deflection at mid span for simply supported beam of length (L) under concentrated moment (M) at mid span equals : * (ML²/48EI/ML²/24EI/ML²/36EI/ 0)F=11 kN single load, M=22 kN.m moment and w=5 kN/m distributed load act on the beam whose loading condition is given in the figure. The length L is also given as L=5 m. The cross-sectional properties of the beam are; body height yg=218 mm, body thickness xg=18 mm, flange width xf=190 mm, flange height yf=13 mm. Point E on the section is located just below the flange-body junction. It is desired to determine the stress state in the section taken from the B level of the beam. According to this;