Homework Answers
In order to locate the centroid, consider two rectangles of
dimensions (5 x 0.5) and (4.5 x 0.5) as shown in the image below.
Use the tabular method to find centroid and moment of inertia.
Answered first two questions only, It was a time consuming
problem
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1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine t...
(7) A moment of M = 4 kip-ft is applied on the cross section shown. Determine...
(7) A moment of M = 4 kip-ft is applied on the cross section shown. Determine (a) the normal stress at point a, (b) the maximum tensile and compressive bending stresses in the beam. Ans: (a) oa = 0.0523 ksi (b) om =-1.779 ksi, om' = 3.72 ksi 10.5 in.al -3 in. +0.5 in. 0.5 in. B 3 in. M 10 in. D +0.5 in.
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, B. Helpful hint: Remember to change the sign of your...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to the +x- axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, 8. Helpful hint: Remember to change the sign...
1) For the T-shaped section shown below, determine the largest bending moment, M, which may be...
1) For the T-shaped section shown below, determine the largest bending moment, M, which may be applied without exceeding either of the following allowable stresses: ơT 36 ksi (Tension) and oc 24 ksi (Compression). Clearly state the stress limit that controls the value of the applied moment. 4 in 0.5 in. in 0.5 in 2) Determine the chan
Leaming Goal: To determine the absolute maximum bending stress in a rectangular cross section that has...
Leaming Goal: To determine the absolute maximum bending stress in a rectangular cross section that has a circular cutout and is subjected to unsymmetrical bending in the y and z-directional planes, and to determine the angles of the neutral axes established by the applied moments. The rectangular cross section ABCD shown below has a circular cutout of diameter d= 30.0 mmthrough its center. The member is subjected to two extemally applied moments M1-6.0 kN mand M2-17.0 kN mat angles 1-35.0...
Q5 Consider an extruded aluminium machine part that has the cross-section shown in the accompanying figure....
Q5 Consider an extruded aluminium machine part that has the cross-section shown in the accompanying figure. Determine the maximum moment M that can be applied to the member if the allowable bending stresses in tension and compression are 200 MPa and 100 MPa respectively 100 mm 25 mm NA 50 mm 25 mm 50 mm 25 mm
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig-...
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig- ure 3 which is subjected to a positive bending moment about the z-axis of 90 kN·m, determine 1. (20 pts) Consider the beam with loading shown in Figure 1. (a) Draw the shear and moment diagrams. (a) the location of the centroid (2,P) relative (b) If the beam is constructed from A-36 struc- tural steel, determine the minimum top and bottom section modulii such...
A beam with a square tubular cross section is subjected to the loading shown. The cross...
A beam with a square tubular cross section is subjected to the
loading shown. The cross section of the beam is also
shown. Determine the maximum bending stress in the beam given:
L = 9 ft
P = 1,300 lb
do = 6 in
di = 5.4 in
1/3 We were unable to transcribe this imageA beam with a square tubular cross section is subjected to the loading shown. The cross section of the beam is also shown. Determine the...
points) The cross-section of the beam below is the same as in questions 3. Given this cros ion determine the follow...
points) The cross-section of the beam below is the same as in questions 3. Given this cros ion determine the following: a. (5 points) Find the normal stress acting at point A if M900 f"lb b. (5 points) Find the maximum compression stress acting on the c. (5 points) Find the maximum tension stress acting on the beami d. (5 points) If the maximum allowable stress is 5 ksi in either tension or compression determine the maximum bending moment M...
50 M=2.0kN.m 100 160 100 Fig. 3 Fig. 4 Prob. 3. For the unsymmetric cross section...
50 M=2.0kN.m 100 160 100 Fig. 3 Fig. 4 Prob. 3. For the unsymmetric cross section shown in Fig. 3, a moment M is applied at +45° from z. All dimensions are in mm. The thickness = 4 mm. Determine (a) the centroid of the cross section (b) the moments of inertia and product of inertia under y-z (c) the principal moments of inertia and the direction of the principal system (d) the orientation of the neutral axis in terms...
(7) A moment of M = 4 kip-ft is applied on the cross section shown. Determine (a) the normal stress at point a, (b) the maximum tensile and compressive bending stresses in the beam. Ans: (a) oa = 0.0523 ksi (b) om =-1.779 ksi, om' = 3.72 ksi 10.5 in.al -3 in. +0.5 in. 0.5 in. B 3 in. M 10 in. D +0.5 in.
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, B. Helpful hint: Remember to change the sign of your...
3) (35 pts) A L-beam has the cross section shown. A moment M acts about the x-axis which passes through the centroid of the section. Determine the angle the neutral axis makes with respect to the +x- axis. Sketch it on the cross section. Given the design flexural stress limit is 100 MPa, determine the maximum allowable moment which can be applied. You only need to evaluate the stresses at points A, 8. Helpful hint: Remember to change the sign...
1) For the T-shaped section shown below, determine the largest bending moment, M, which may be applied without exceeding either of the following allowable stresses: ơT 36 ksi (Tension) and oc 24 ksi (Compression). Clearly state the stress limit that controls the value of the applied moment. 4 in 0.5 in. in 0.5 in 2) Determine the chan
Leaming Goal: To determine the absolute maximum bending stress in a rectangular cross section that has a circular cutout and is subjected to unsymmetrical bending in the y and z-directional planes, and to determine the angles of the neutral axes established by the applied moments. The rectangular cross section ABCD shown below has a circular cutout of diameter d= 30.0 mmthrough its center. The member is subjected to two extemally applied moments M1-6.0 kN mand M2-17.0 kN mat angles 1-35.0...
Q5 Consider an extruded aluminium machine part that has the cross-section shown in the accompanying figure. Determine the maximum moment M that can be applied to the member if the allowable bending stresses in tension and compression are 200 MPa and 100 MPa respectively 100 mm 25 mm NA 50 mm 25 mm 50 mm 25 mm
answered to receive full credit. 3. (20 pts) For the L-section beam as shown in Fig- ure 3 which is subjected to a positive bending moment about the z-axis of 90 kN·m, determine 1. (20 pts) Consider the beam with loading shown in Figure 1. (a) Draw the shear and moment diagrams. (a) the location of the centroid (2,P) relative (b) If the beam is constructed from A-36 struc- tural steel, determine the minimum top and bottom section modulii such...
A beam with a square tubular cross section is subjected to the
loading shown. The cross section of the beam is also
shown. Determine the maximum bending stress in the beam given:
L = 9 ft
P = 1,300 lb
do = 6 in
di = 5.4 in
1/3 We were unable to transcribe this imageA beam with a square tubular cross section is subjected to the loading shown. The cross section of the beam is also shown. Determine the...
points) The cross-section of the beam below is the same as in questions 3. Given this cros ion determine the following: a. (5 points) Find the normal stress acting at point A if M900 f"lb b. (5 points) Find the maximum compression stress acting on the c. (5 points) Find the maximum tension stress acting on the beami d. (5 points) If the maximum allowable stress is 5 ksi in either tension or compression determine the maximum bending moment M...
50 M=2.0kN.m 100 160 100 Fig. 3 Fig. 4 Prob. 3. For the unsymmetric cross section shown in Fig. 3, a moment M is applied at +45° from z. All dimensions are in mm. The thickness = 4 mm. Determine (a) the centroid of the cross section (b) the moments of inertia and product of inertia under y-z (c) the principal moments of inertia and the direction of the principal system (d) the orientation of the neutral axis in terms...
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