Homework Answers
First of all we'll calculate the components of given moment vector in y and z direction..
Once we get Mz and My , then we can proceed to calculate stress caused by them.
This calculation is given in the following images::
Hope
you got the concept well...!!!
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Question 1 1 pts Given the moment acting on the rectangular section, determine the magnitude of...
The moment acting on the cross section of the wide-flange beam has a magnitude of M-12.6...
The moment acting on the cross section of the wide-flange beam has a magnitude of M-12.6 kN-m and is oriented as shown. Assume by-230 mm, and θ-45°. Determine: (a) the bending stress σ/r at point H. (b) the bending stress σκ atpoint K (c) the orientatin angle β of the neutral axis relative to the +z ats; show its loation on a sketch of the dross section. 11mm, t 18 mm, d -260 mm
A steel beam of rectangular cross section is 50mm wide and 80mm high. Please give the...
A steel beam of rectangular cross section is 50mm wide and
80mm high. Please give the answer of these two questions.
ECH0013 Mechanics of Solids & Structures Exercise Sheet 5: PLASTIC COLLAPSE A steel beam of rectangular cross section is 50 mm wide and 80 mm high. The yield stress is ơr MPa. Find the percentage of the cross-sectional area is occupied by the elastic core, if the beam is subjected to a bending moment of 13 kNm acting about...
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength...
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength of fc 30 MPa, reinforced with 5-25 mm diameter steel bar at the effective depth of 500 mm. If is subjected to a moment, M 130 kN-m. Determine the following: Magnitude of the bending moment that cracks the singly-reinforced beam section. (10 pts) b. For the computed cracking moment, determine the maximum compressive stress in the concrete and the stress in the tension steel....
A beam with a solid rectangular cross section (120 mm by 80 mm)
Asymmetrical Bending (16 points) A beam with a solid rectangular cross section (120 mm by 80 mm) is subjected to a resultant moment magnitude of 2,600 N-m acting at an inclination of 36.13° (CW) relative to the +z axis.
A beam with a solid rectangular cross section (120 mm by 80 mm) is subjected to
Asymmetrical Bending (16 points) A beam with a solid rectangular cross section (120 mm by 80 mm) is subjected to a resultant moment magnitude of 2,500 N-m acting at an inclination of -53.13° (CCW) relative to the +z axis.
4. (20pts.) Determine: a. ( pts) Draw the shear and moment diagrams for the rectangular wooden...
4. (20pts.) Determine: a. ( pts) Draw the shear and moment diagrams for the rectangular wooden beam shown. b. The Maximum shear stress and shear in the T-bean1 at point C, c. The shear flow between the web and the flange 150 mm 1 T 150 mm 30 mm HE-30 mm 10kN/m A. B с Е- 3 m- 1.5 m --—1.5 m
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...
Chapter 8, Reserve Problem 080 (GO Tutorial) The moment acting on the cross section of the...
Chapter 8, Reserve Problem 080 (GO Tutorial) The moment acting on the cross section of the T-beam has a magnitude of 25 kip-ft and is oriented as shown. Assume be = 7.0 in., ty = 1.50 in., tf = 1.00 in., d = 10.0 in. and 50º. Determine = (a) the bending stress at point H. (b) the bending stress at point K. (c) the orientation of the neutral axis relative to the +z axis; show its location on a...
Part B Determine the resultant shear force acting on the cross section at point CC in...
Part B
Determine the resultant shear force acting on the cross section
at point CC in the beam.
Express your answer to three significant figures and include
appropriate units.
Part C
Determine the resultant bending moment acting on the cross
section at point CC in the beam.
Express your answer to three significant figures and include
appropriate units.
Show all steps and solution clearly, with correct units as asked
in problem:
Problem 7.21 The load D has a mass of...
Part A - Moment about the x axis at A Learning Goal: To determine the state...
Part A - Moment about the x axis at A Learning Goal: To determine the state of stress in a solid rod using the principle of superposition. A solid rod has a diameter of e = 60 mm and is subjected to the loading shown. Let a = 200 mm, b = 220 mm c = 340 mm, d = 230 mm, and P = 4.0 kN. Take point A to be at the top of the circular cross-section. (Figure...
The moment acting on the cross section of the wide-flange beam has a magnitude of M-12.6 kN-m and is oriented as shown. Assume by-230 mm, and θ-45°. Determine: (a) the bending stress σ/r at point H. (b) the bending stress σκ atpoint K (c) the orientatin angle β of the neutral axis relative to the +z ats; show its loation on a sketch of the dross section. 11mm, t 18 mm, d -260 mm
A steel beam of rectangular cross section is 50mm wide and
80mm high. Please give the answer of these two questions.
ECH0013 Mechanics of Solids & Structures Exercise Sheet 5: PLASTIC COLLAPSE A steel beam of rectangular cross section is 50 mm wide and 80 mm high. The yield stress is ơr MPa. Find the percentage of the cross-sectional area is occupied by the elastic core, if the beam is subjected to a bending moment of 13 kNm acting about...
2. A rectangular beam, 400 x 600 mm gross dimension, is cast using a concrete strength of fc 30 MPa, reinforced with 5-25 mm diameter steel bar at the effective depth of 500 mm. If is subjected to a moment, M 130 kN-m. Determine the following: Magnitude of the bending moment that cracks the singly-reinforced beam section. (10 pts) b. For the computed cracking moment, determine the maximum compressive stress in the concrete and the stress in the tension steel....
Asymmetrical Bending (16 points) A beam with a solid rectangular cross section (120 mm by 80 mm) is subjected to a resultant moment magnitude of 2,600 N-m acting at an inclination of 36.13° (CW) relative to the +z axis.
Asymmetrical Bending (16 points) A beam with a solid rectangular cross section (120 mm by 80 mm) is subjected to a resultant moment magnitude of 2,500 N-m acting at an inclination of -53.13° (CCW) relative to the +z axis.
4. (20pts.) Determine: a. ( pts) Draw the shear and moment diagrams for the rectangular wooden beam shown. b. The Maximum shear stress and shear in the T-bean1 at point C, c. The shear flow between the web and the flange 150 mm 1 T 150 mm 30 mm HE-30 mm 10kN/m A. B с Е- 3 m- 1.5 m --—1.5 m
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...
Chapter 8, Reserve Problem 080 (GO Tutorial) The moment acting on the cross section of the T-beam has a magnitude of 25 kip-ft and is oriented as shown. Assume be = 7.0 in., ty = 1.50 in., tf = 1.00 in., d = 10.0 in. and 50º. Determine = (a) the bending stress at point H. (b) the bending stress at point K. (c) the orientation of the neutral axis relative to the +z axis; show its location on a...
Part B
Determine the resultant shear force acting on the cross section
at point CC in the beam.
Express your answer to three significant figures and include
appropriate units.
Part C
Determine the resultant bending moment acting on the cross
section at point CC in the beam.
Express your answer to three significant figures and include
appropriate units.
Show all steps and solution clearly, with correct units as asked
in problem:
Problem 7.21 The load D has a mass of...
Part A - Moment about the x axis at A Learning Goal: To determine the state of stress in a solid rod using the principle of superposition. A solid rod has a diameter of e = 60 mm and is subjected to the loading shown. Let a = 200 mm, b = 220 mm c = 340 mm, d = 230 mm, and P = 4.0 kN. Take point A to be at the top of the circular cross-section. (Figure...
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