Homework Answers
Determine the moment inertia along the horizontal neutral axis for the cross section of the beam...
Determine the moment inertia along the horizontal neutral axis
for the cross section of the beam (in 106
mm4) and the maximum normal stress due to bending on a
transverse section at C (in MPa)
3 KN 3 KN 1.8 kN/m 80 mm 11 A | В 300 mm D -1.5 m -1.5 m -1.5 m
20 KN 3 kN/m 3 2 KN- y, 2 kN-m 12.5 mm 200 mm? Z B...
20 KN 3 kN/m 3 2 KN- y, 2 kN-m 12.5 mm 200 mm? Z B 150 mm 121.43 mm 1.5 m 1.5 m 2.2 m 12.5 mm Part [1] (a.) Construct shear and bending moment diagrams. Show all work. Label completely. (b.) Determine the maximum value of the transverse shear force (in magnitude) and where it occurs. 'Box' answers. (c.) Determine the maximum values of the bending moment (both positive and negative) and where each occurs. 'Box' answers. Part...
The beam has the cross-sectional area shown. If the loading intensity o 25 kN/m and the...
The beam has the cross-sectional area shown. If the loading intensity o 25 kN/m and the length of the beam L is 3 m, answer the questions that follow: 0 TALALRATEATAITTAAAAATTAAAAAL 100 mm 25 mm 25 mm 75 mm 75 mm 25 mm Determine the maximumm bending moment in the bearm in [kNm] Determine the position of the neutral axis, as a distance in [mm] measured from the bottom of the beam i.e. determine V Determine the area moment of...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm....
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
With a U cross section, is subjected to uniformly distributed force 11 kN/m and a concentrated load of 12 kN as shown
With a U cross section, is subjected to uniformly distributed force 11 kN/m and a concentrated load of 12 kN as shown. (a) the reaction at supports A and B, (b) sketch the shear diagram and the moment diagram, (c) determine the location of neutral axis of the cross section and calculate its area moment of inertia about the neutral axis, and (d) determine absolute maximum bending stress and (e) absolute maximum transverse shear stress.
Consider the beam and loading shown. Given: P 8.8 kN 03 m 40 mm 12 mm...
Consider the beam and loading shown. Given: P 8.8 kN 03 m 40 mm 12 mm 150 mm 12 mm 100 mm -200 mm 1.5 m 1. Determine the largest shearing stress in section n-n. (Round the final answer to the nearest whole number.) kPa. The largest shearing stress is 02019 McGraw HIll Bducation Al rights cosorved For the beam and loading shown, consider section-nand take P 177 kN. 160 mm 20 mm 100 mm 30 mm 500 mm- 500...
0.3 m 10 kN 40 mm Problem 2 (10 Points) For the beam and loading shown,...
0.3 m 10 kN 40 mm Problem 2 (10 Points) For the beam and loading shown, consider section n-n and determine (a) the largest shearing and normal bending stress in that section and (b) the shearing stress at point a. 12 mm 150 mm 12 mm 100 mm 1.5 m 200 mm
The simply supported beam is subjected to a uniform distributed load, w of 30 kN/m in...
The simply supported beam is subjected to a uniform distributed load, w of 30 kN/m in the negative y-direction and a point load, P of 15 kN in the negative z-direction. The total length, L of the beam is 6 m. Answer the questions that follow: 'n Eenvoudige opgelegde balk word belas met 'n uniform verspreide belasting van w 30 kN/m in die negatiewe y-rigting en 'n puntlas P = 15 kN in die negatiewe z-rigting. Die totale lengte, L...
3) (40 pts) The EXTERNAL 35 kN force P is applied to the end of a 2 m long cantilever beam with t...
3) (40 pts) The EXTERNAL 35 kN force P is applied to the end of a 2 m long cantilever beam with the given cross section. The force acts through the shear center, forming an angle of 35 with the horizontal axis. The x, y axes pass through the centroid C. The y-axis can be assumed to coincide with the right- hand edge of the vertical section. Determine (a) the normal bending stress at Point A, (b) normal bending stress...
2. AT-beam with dimensions b 175 mm, t 14 mm, h -250 mm, and hi =...
2. AT-beam with dimensions b 175 mm, t 14 mm, h -250 mm, and hi = 230 mm is subjected to a shear force V= 84 kN. For this problem, assume the cross-section can be discretized into two rectangles (the web and the flange (a) Determine the moment of inertia of the cross section about the (b) Determine the shear stress at the neutral axis, TNA (c) Determine the shear stress at the interface of the web and the flange,...
Determine the moment inertia along the horizontal neutral axis
for the cross section of the beam (in 106
mm4) and the maximum normal stress due to bending on a
transverse section at C (in MPa)
3 KN 3 KN 1.8 kN/m 80 mm 11 A | В 300 mm D -1.5 m -1.5 m -1.5 m
20 KN 3 kN/m 3 2 KN- y, 2 kN-m 12.5 mm 200 mm? Z B 150 mm 121.43 mm 1.5 m 1.5 m 2.2 m 12.5 mm Part [1] (a.) Construct shear and bending moment diagrams. Show all work. Label completely. (b.) Determine the maximum value of the transverse shear force (in magnitude) and where it occurs. 'Box' answers. (c.) Determine the maximum values of the bending moment (both positive and negative) and where each occurs. 'Box' answers. Part...
The beam has the cross-sectional area shown. If the loading intensity o 25 kN/m and the length of the beam L is 3 m, answer the questions that follow: 0 TALALRATEATAITTAAAAATTAAAAAL 100 mm 25 mm 25 mm 75 mm 75 mm 25 mm Determine the maximumm bending moment in the bearm in [kNm] Determine the position of the neutral axis, as a distance in [mm] measured from the bottom of the beam i.e. determine V Determine the area moment of...
4. (30%) For a beam with a T-section as shown, the cross-sectional dimensions of 12 mm. The centroid is 75 mm, h = 90 mm, t the beam are b 60 mm, h, at C and c 30 mm. At a certain section of the beam, the bending moment is M 5.4 kN m and the vertical shear force is V= 30 kN. (a) Show that the moment of inertia of the cross-section about the z axis (the neutral axis)...
Consider the beam and loading shown. Given: P 8.8 kN 03 m 40 mm 12 mm 150 mm 12 mm 100 mm -200 mm 1.5 m 1. Determine the largest shearing stress in section n-n. (Round the final answer to the nearest whole number.) kPa. The largest shearing stress is 02019 McGraw HIll Bducation Al rights cosorved For the beam and loading shown, consider section-nand take P 177 kN. 160 mm 20 mm 100 mm 30 mm 500 mm- 500...
0.3 m 10 kN 40 mm Problem 2 (10 Points) For the beam and loading shown, consider section n-n and determine (a) the largest shearing and normal bending stress in that section and (b) the shearing stress at point a. 12 mm 150 mm 12 mm 100 mm 1.5 m 200 mm
The simply supported beam is subjected to a uniform distributed load, w of 30 kN/m in the negative y-direction and a point load, P of 15 kN in the negative z-direction. The total length, L of the beam is 6 m. Answer the questions that follow: 'n Eenvoudige opgelegde balk word belas met 'n uniform verspreide belasting van w 30 kN/m in die negatiewe y-rigting en 'n puntlas P = 15 kN in die negatiewe z-rigting. Die totale lengte, L...
3) (40 pts) The EXTERNAL 35 kN force P is applied to the end of a 2 m long cantilever beam with the given cross section. The force acts through the shear center, forming an angle of 35 with the horizontal axis. The x, y axes pass through the centroid C. The y-axis can be assumed to coincide with the right- hand edge of the vertical section. Determine (a) the normal bending stress at Point A, (b) normal bending stress...
2. AT-beam with dimensions b 175 mm, t 14 mm, h -250 mm, and hi = 230 mm is subjected to a shear force V= 84 kN. For this problem, assume the cross-section can be discretized into two rectangles (the web and the flange (a) Determine the moment of inertia of the cross section about the (b) Determine the shear stress at the neutral axis, TNA (c) Determine the shear stress at the interface of the web and the flange,...
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