The wide flange beam is subjected to a vertical shear force of 40 kN. The cross-section of the beam is shown in the figure below. O is the centroid of the cross-section and the moment of inertia is INA 246 x (106) m². Determine the shear stress at point B (considered located at the flange part). 200 mm A 40 mm B 200 mm 0 20 mm C 40 mm Select one: O 20 Mpa 0.78 Mpa O 4.3 Mpa 43 Mpa O 3.9 Mpal Clear my choice D 200 mm Web
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- Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure, с - 12.5 B A y I 50 100 75 12.5- 12.5 25 D 100 The area is determined to be 3750 mm² The distances from the neutral axis to the top and bottom surfaces are determined to be 57.292 The second moment of area is determined to be 4.293 x 106 mm4. mm and 42.708 ✪ mm.Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces. Consider that the section is transmitting a positive bending moment about the z axis, Mz, where M₂ = 10 kip-in if the dimensions of the section are given in ips units, or M₂ = 1.13 kN·m if the dimensions are in Sl units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. From the figure Z 1 in 112 in y in → ← ¹ in 12 in D C B A ++ in The area is determined to be 2.0625 in². The distances from the neutral axis to the top and bottom surfaces are determined to be 0.858 x in and The second moment of area is determined to be 0.447 in 4. 1.017 xin.The cross section of a reinforced concrete beam is shown below. It has a modular ratio of 15. If the allowable compressive stress in the concrete is 6 MPa and the allowable tensile stress in the steel is 120 MPa, determine diameter of the three reinforcing steel rods to make the beam an economic section.
- What is the solution!The book is subjected to the force of 60 lb Determine the state of stress at point A at section a-a. The cross section is circular and has a diameter of 0.5 in. Use the curved-beam formula to compute the bending stress (Figure 1) Figure 1.5 in. 13 45° B 1 of 1 > ▾ Part A Determine the normal stress. Express your answer using three significant figures and include the appropriate units. Enter negative value in the case of compression and positive value in the case of tension. g= Value Submit Part B ← A psi Previous Answers Request Answer X Incorrect; Try Again; 4 attempts remaining ✓ Correct < Return to Assignment Ċ 129 ? Determine the shear stress Express your answer using three significant figures and include the appropriate units. T= 0 psi Previous Answers Provide FeedbackDetermine the average shear stress developed in the nails within region AB of the beam. The nails are located on each side of the beam and are space 100 mm apart. Each nail has a diameter of 4 mm. Take P = 2kN. = Hint: Think carefully about the number of nails transferring shear stress from board-to-board. 2 kN/m A B -1.5 m 1.5 m 100 mm + 20 mm 40 mm 200 mm 20 mm 200 mm
- A member having the dimensions shown is used to resist an internal bending moment of M kNm. Determine the maximum stress in the member if the moment is applied (a) about the z axis (as shown) (b) about the y axis. Sketch the stress distribution for each case. Take: M= 90 kNm A mm A= 200 mm B= 150 mm B mm Solution: The moment of inertia of the cross-section about z and y axes are I;-4 1 - AB³ 12 (10) m* I BA = (10) m*1. The solid shaft is loaded (two point loads) and supported (fixed at left end) as shown. For the xyz directions shown, determine a) 手 B The normal stress at point B; The shear stress at point B; Show results on a differential volume element located at B. 4 in. 19 in. 4 in. 1.5 kips 12 kips 8 in. Section Properties of the shaft: A = 12.566 in.² II 12.566 in.4 (QB)V₂ = 0 in.³ (QB)V, = 5.333 in.³ J= 25.133 in.4Consider that the section is transmitting a positive bending moment about the z axis,Mz, where Mz=10 kip*in if the dimensions of the section are given in ips units, or Mz=1.13kN*m if the dimensions are in SI units. Determine the resulting stresses at the top and bottom surfaces and at every abrupt change in the cross section. Find the second moment of area, the location of the neutral axis, and the distances from the neutral axis to the top and bottom surfaces.
- of on If the I-flange beam is subjected to a shear force V= 20 kN, calculate the transverse shear stress at the point A (considered located on the web part). The area moment of inertia of that section about its neutral axis N.A. is INA = 44.167 x (10) m². Flange Web. Select one: O 10 Mpa O 4.95 MPa O 41 MPa O 100 MPa O50 MPa 20 mm 100 mm A 100 mm 25 mm 150 mm 25 mm Time left 0:46:01 sBelow Figure shows the section of an angle purlin. A bending moment of 5 kN.m is applied to the purlin in a plane at an angle of 30 deg to the vertical y axis. If the sense of the bending moment is such that both its components Mx and My produce tension in the positive xy quadrant, calculate the maximum direct stress in the purlin, stating clearly the point at which it acts. * 100 mm E 10mm 30 C D -10mm 57 MPa. 89 MPa. Non Above O 72 MPa. 125mmA rod has a solid circular cross section with a diameter of 40 mm is subjected to the shown loads. Determine the state of stress at point A. OX= Ixy = Given: The area moment of inertia of a solid circular cross section about its neutral axis is INA = (TR4)/4. The polar moment of inertia of a solid circular cross section about its neutral axis is JNA = (TR4)/2. The centroid of a semi-circle is located at 4R/(3n) from the horizontal axis representing the diameter line. 1500 N -37 Mpa 64 Mpa 3.5 Mpa 7.3 Mpa 600 N 37 Mpa -7.3 Mpa 300 mm 100 N·m 800 N 100 mm B