Homework Answers
L1(m)=1.5. L2(m)=1.5. w(kN/m)=3. P(kN)=10. M(kNm)= 8. B(mm)= 12. D(mm)=18 Q 4. Draw SFD and BMD for...
L1(m)=1.5. L2(m)=1.5. w(kN/m)=3.
P(kN)=10. M(kNm)= 8. B(mm)= 12. D(mm)=18
Q 4. Draw SFD and BMD for the beam given below and determine the absolute maximum bending stress in the beam if it has a rectangular cross-section of width (B) and depth (D). [7 marks) w kN/m PKN M kNm A B E 4 22 L1 L2 L2
3. A beam with a hollow circular cross section of outer diameter D and inner diameter...
3. A beam with a hollow circular cross section of outer diameter D and inner diameter d. The length Lis fixed at a wall. Consider the following loading conditions, all applied to the beam at the midpoint of length L. For each loading scheme state determine the magnitude of that stress in terms of the variables given in the problem). (5 points) i. ii. iii. iv. V. Normal stress due to axial load F Shear stress due to torque T...
QUESTION 4. For the beam shown in the figure, the maximum allowable bending stress is 180...
QUESTION 4. For the beam shown in the figure, the maximum allowable bending stress is 180 MPa and the maximum allowable shear stress is 120 MPa. Choose an appropriate Wide Flange Section (W) that can carry the distributed force and the point force safely. 10 kN 8 kN/m C B 4 m 2 m
A beam is to be made of steel that has an allowable bending stress of 165...
A beam is to be made of steel that has an allowable bending stress of 165 MPa and an aliowable shear stress of 100 MPa. Select an appropriate W shape that will carry the loading shown in Figure. 20 kN 20 kN/m 4m2 m
Figure Q3 shows a simply supported beam carrying a point load. The beam hasa rectangular hollow...
Figure Q3 shows a simply supported beam carrying a point load. The beam hasa rectangular hollow steel section as shown in Figure Q3. a. Calculate the second moment of area of the section about the horizontal (10 marks) centroidal axis. Calculate the maximum allowable value of the point load Wif the elastic bending (15 marks) b. stress in the beam is to be limited to 250 MPa. c. Calculate the maximum shear stress at q-q in the beam when the...
QUESTION 9 20 16a 6а T k A beam with the hollow square cross-section is shown...
QUESTION 9 20 16a 6а T k A beam with the hollow square cross-section is shown in the Figure above. Young Modulus of this beam is 208.59 GPa. Pis a point of observation. If a is 8.48 mm, and applied shear Force is 3.845 kN, the shear stress at point P is ... MPa.
(a) Draw the load (FBD), shear, and bending moment diagrams for the beam shown. (b) Write...
(a) Draw the load (FBD), shear, and bending moment diagrams for the beam shown. (b) Write the equations for Vix) and M(x), taking the origin at the left end of the beam. (c) Taking the cross section to be C 380 x 74 (page 812 of Text), determine the maximum bending stress at the section where the moment (absolute value) is maximum. (d) Determine the maximum shear stress at the section 2 m from the left end. 40 kN/m15 kN...
A rectangular cross section at a location along a beam in bending is
(a). A rectangular cross section at a location along a beam in bending is acted upon by a bending moment and a shear force. The cross section is \(120 \mathrm{~mm}\) wide, \(300 \mathrm{~mm}\) deep and is orientated such that it is in bending about its major axis of bending. The magnitudes of the bending moment and shear force are \(315 \mathrm{kNm}\) and \(240 \mathrm{kN}\) respectively. Determine the maximum bending and shear stresses on the cross section. Plot the bending and...
If the beam is subjected to a moment of M = 100 kn-m, determine the bending stress at points A, B, and C.
If the beam is subjected to a moment of M = 100 kn-m, determine the bending stress at points A, B, and C. Sketch the bending stress distribution on the cross Section. If the beam is made of a material having an allowable tensile and compressive stress of σallow(T) = 125 MPa and σallow(C) = 150 MPa, respectively, determine the maximum moment M that can be applied to the beam.
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)...
L1(m)=1.5. L2(m)=1.5. w(kN/m)=3.
P(kN)=10. M(kNm)= 8. B(mm)= 12. D(mm)=18
Q 4. Draw SFD and BMD for the beam given below and determine the absolute maximum bending stress in the beam if it has a rectangular cross-section of width (B) and depth (D). [7 marks) w kN/m PKN M kNm A B E 4 22 L1 L2 L2
3. A beam with a hollow circular cross section of outer diameter D and inner diameter d. The length Lis fixed at a wall. Consider the following loading conditions, all applied to the beam at the midpoint of length L. For each loading scheme state determine the magnitude of that stress in terms of the variables given in the problem). (5 points) i. ii. iii. iv. V. Normal stress due to axial load F Shear stress due to torque T...
QUESTION 4. For the beam shown in the figure, the maximum allowable bending stress is 180 MPa and the maximum allowable shear stress is 120 MPa. Choose an appropriate Wide Flange Section (W) that can carry the distributed force and the point force safely. 10 kN 8 kN/m C B 4 m 2 m
A beam is to be made of steel that has an allowable bending stress of 165 MPa and an aliowable shear stress of 100 MPa. Select an appropriate W shape that will carry the loading shown in Figure. 20 kN 20 kN/m 4m2 m
Figure Q3 shows a simply supported beam carrying a point load. The beam hasa rectangular hollow steel section as shown in Figure Q3. a. Calculate the second moment of area of the section about the horizontal (10 marks) centroidal axis. Calculate the maximum allowable value of the point load Wif the elastic bending (15 marks) b. stress in the beam is to be limited to 250 MPa. c. Calculate the maximum shear stress at q-q in the beam when the...
QUESTION 9 20 16a 6а T k A beam with the hollow square cross-section is shown in the Figure above. Young Modulus of this beam is 208.59 GPa. Pis a point of observation. If a is 8.48 mm, and applied shear Force is 3.845 kN, the shear stress at point P is ... MPa.
(a) Draw the load (FBD), shear, and bending moment diagrams for the beam shown. (b) Write the equations for Vix) and M(x), taking the origin at the left end of the beam. (c) Taking the cross section to be C 380 x 74 (page 812 of Text), determine the maximum bending stress at the section where the moment (absolute value) is maximum. (d) Determine the maximum shear stress at the section 2 m from the left end. 40 kN/m15 kN...
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)...
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