Homework Answers
(2)
Neutral axis: The neutral axis is defined as the layer in which the longitundal strain is zero, the maximum stress acts at the end of the fibers, so this statement is FALSE
(4)
MOHRS CIRCLE:
Mohrs circle is the 2D geometrical representation of the stresses in the shape of a circle, it can be used to determine
the principal stresses, shear stress and maxiumum shear stress, so this statement is TRUE
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Question 2 When considering bending, longitudinal strain is maximum at the neutral axis. True False Question...
Question 29 The neutral axis is located at: The centroid The bottom of the section The...
Question 29 The neutral axis is located at: The centroid The bottom of the section The location of the maximum bending stress The top of the section Question 30 For the purposes of shear & moment diagrams, positive moment is characterized by: Causing deformation in a beam that is concave down like a frown Causing deformation in a beam that is concave up, like a smile Causing tension in the top fibers and compression in the bottom fibers Causing compression...
7) Which of the following is true? O The linear coefficient of thermal expansion is unique...
7) Which of the following is true? O The linear coefficient of thermal expansion is unique for each material (material property) O The displacement due to temperature is linearly related to the original length O Stress concentration factors relate the maximum stress to the average stress O Sharp corners should be avoided because they create stress concentrations. O All the above are true 8) Which of the following statements are true? O A simply supported beam which supports a load...
Question 4 0.5 points Save Answer Strain gage is a device that senses the strain of...
Question 4 0.5 points Save Answer Strain gage is a device that senses the strain of the structure. The property of the strain gage that is used to correlate with the strain to be measured is ductility electrical resistance yield strength Odensity Question 5 0.5 points Save Answer Shown in the figure below is a solid cylinder. The x-axis is along the longitudinal direction. The angle is measured with respect to the x-axis, positive if counterclockwise, t.e. towards the y-axis...
2. Draw Shear Force and Bending Moment Diagram (use your preferred method). Determine Maximum Ten...
2. Draw Shear Force and Bending Moment Diagram (use your preferred method). Determine Maximum Tensile and Compressive Stresses due to bending, state where on the beam these occur. For the mid-point between A and B, determine shear stress at neutral axis; 2" from the top of the flange; at the junction between web and flange and on the top of the flange for the cross-section. Plot of the bending stress and shear stress distribution diagram across the cross section of...
au] CE 121 EXAM-1 October 01, 2014 Instructions: This is a closed book Exam, You may...
au] CE 121 EXAM-1 October 01, 2014 Instructions: This is a closed book Exam, You may use the formsula sheet provided separately 50 Points Write neatly and clearly. Show all intermediate steps. Carry units throughout the solutions. Final answers must be accompanied with units where appropriate Problem 1: State true or false. Please circle your answer 1. Normal force is a foree that acts perpendicular to the area 2. Bending moment is developed when the external loads tend to twist...
Combined shear stress includes: Longitudinal Shear Torsion Bending Shear O Transverse Shear Question 39 In the...
Combined shear stress includes: Longitudinal Shear Torsion Bending Shear O Transverse Shear Question 39 In the hoop stress calculation, "p" corresponds to: O pressure in the walls of the tank o distance p from the center O pressure in the tank Question 40 The 3D state of stress for a cubic element has how many stress components on each face? O 6 O2 03 Question 41 What angle is an element rotated from the position that results in maximum principal...
Problem 1 For the loaded beam with the cross-section shown: A. Find the location of the neutral a...
Problem 1 For the loaded beam with the cross-section shown: A. Find the location of the neutral axis B. Compute the moment of inertia of the section around the neutral axis C. Locate the section of maximum moment then compute the maximum stress due to bending, fb D. Locate the section of maximum shear-compute the shear stress at the neutral axis 3.0 k 8" 1.5 k/ft 1.0 k/ft 2" 8 10 ft 6 ft 4 ft 2" Cross-Section
Problem 1...
(10 Question 5: points: 2 pts each) State whether the following questions are True or False....
(10 Question 5: points: 2 pts each) State whether the following questions are True or False. Type your answer (True or False) inside the box below for each question: a) The absolute value of the ratio of the lateral strain to the longitudinal strain is known as Poisson's ratio. Answer: b) The density of a material is defined as the mass per unit length. Answer: c) As temperature increases ductility and toughness of metals decrease. Answer: d) Hard materials like...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
Determine maximum sheer stress at cross-sectional point 1, 2, 3, 4 of the beam
Considering a structure is fixed at joint D as shown in the figure,(a) Please determine all reaction forces at D;(b) The torque, shear force, and moment diagrams from D to A;(c) Determining the maximum of stresses (normal and shear) at the indicated points (1, 2, 3, 4) on the cross-section of a location along the beam.(For a circle: Izz=(π/4)(r4), J=(π/2)(r4), For a half-circle y-centroid = 4r/(3π)Bending shear stress: τxy=(VyQy)/(Izzwz)=(Vy(ycentroid A))/(Izzwz);Normal stress by bending: σxx =(Mzy)/Izz;Normal stress by axial load: P/A;Torsional...
Question 29 The neutral axis is located at: The centroid The bottom of the section The location of the maximum bending stress The top of the section Question 30 For the purposes of shear & moment diagrams, positive moment is characterized by: Causing deformation in a beam that is concave down like a frown Causing deformation in a beam that is concave up, like a smile Causing tension in the top fibers and compression in the bottom fibers Causing compression...
7) Which of the following is true? O The linear coefficient of thermal expansion is unique for each material (material property) O The displacement due to temperature is linearly related to the original length O Stress concentration factors relate the maximum stress to the average stress O Sharp corners should be avoided because they create stress concentrations. O All the above are true 8) Which of the following statements are true? O A simply supported beam which supports a load...
Question 4 0.5 points Save Answer Strain gage is a device that senses the strain of the structure. The property of the strain gage that is used to correlate with the strain to be measured is ductility electrical resistance yield strength Odensity Question 5 0.5 points Save Answer Shown in the figure below is a solid cylinder. The x-axis is along the longitudinal direction. The angle is measured with respect to the x-axis, positive if counterclockwise, t.e. towards the y-axis...
2. Draw Shear Force and Bending Moment Diagram (use your preferred method). Determine Maximum Tensile and Compressive Stresses due to bending, state where on the beam these occur. For the mid-point between A and B, determine shear stress at neutral axis; 2" from the top of the flange; at the junction between web and flange and on the top of the flange for the cross-section. Plot of the bending stress and shear stress distribution diagram across the cross section of...
au] CE 121 EXAM-1 October 01, 2014 Instructions: This is a closed book Exam, You may use the formsula sheet provided separately 50 Points Write neatly and clearly. Show all intermediate steps. Carry units throughout the solutions. Final answers must be accompanied with units where appropriate Problem 1: State true or false. Please circle your answer 1. Normal force is a foree that acts perpendicular to the area 2. Bending moment is developed when the external loads tend to twist...
Combined shear stress includes: Longitudinal Shear Torsion Bending Shear O Transverse Shear Question 39 In the hoop stress calculation, "p" corresponds to: O pressure in the walls of the tank o distance p from the center O pressure in the tank Question 40 The 3D state of stress for a cubic element has how many stress components on each face? O 6 O2 03 Question 41 What angle is an element rotated from the position that results in maximum principal...
Problem 1 For the loaded beam with the cross-section shown: A. Find the location of the neutral axis B. Compute the moment of inertia of the section around the neutral axis C. Locate the section of maximum moment then compute the maximum stress due to bending, fb D. Locate the section of maximum shear-compute the shear stress at the neutral axis 3.0 k 8" 1.5 k/ft 1.0 k/ft 2" 8 10 ft 6 ft 4 ft 2" Cross-Section
Problem 1...
(10 Question 5: points: 2 pts each) State whether the following questions are True or False. Type your answer (True or False) inside the box below for each question: a) The absolute value of the ratio of the lateral strain to the longitudinal strain is known as Poisson's ratio. Answer: b) The density of a material is defined as the mass per unit length. Answer: c) As temperature increases ductility and toughness of metals decrease. Answer: d) Hard materials like...
Part A - Question 3 (Total Marks for Part A - Question 3:20) A steel beam in an industrial structure is part of a complicated frame that was difficult to analyse. Using a rectangular strain gauge rosette, the actual strains at point A have been recorded while being subjected to test loads. It is necessary to determine the normal stresses and shear stresses in the actual beam subject to the test loads to check whether the stresses assumed in the...
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