Homework Answers
As shown in Figure 8, the structural member (beam) is 7m long, carries a 2 kN point load, a 1.2 kN/m uniformly distribu...
As shown in Figure 8, the structural member (beam) is 7m long, carries a 2 kN point load, a 1.2 kN/m uniformly distributed load and is supported at points A and B. The beam is constructed from two pieces of steel plate (2 at 80mm x 8mm) that are welded together with 3mm welds. Section properties for the beam are also listed. Given the support reactions as RAv 5.8 kN and RBv 2.2 kN, as well as the shear force...
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
For a constant EI (use EI as a constant in your answer): a. Determine the reactions...
For a constant EI (use EI as a constant in
your answer):
a. Determine the reactions RA and RC and
draw the shear force diagram (SFD) and the bending moment diagram
(BMD). See image below.
b. Determine the slope at A (θA) and the deflection
at B (ΔB) using the Moment-Area Method.
c. Determine the equation of the elastic curve, y(x), using the
Integration Method.
16 kN/m B 4 m 4 m SFD BMD
Consider the simply supported beam and loaded as shown in the M figure. Perform the following:...
Consider the simply supported beam and loaded as shown in the M figure. Perform the following: 1. Determine the support reactions. 2. Plot SFD and BMD 3. if L=9 m, the beam will fail when the maximum shear force is Vmax= 5 kN or the maximum bending moment is Mmax=22 kN.m. Determine the largest couple moment Mo the beam will support.
Consider a rectangular beam subjected to bending 15 kN 10 kN/m 20 kNm IITTI 0.15 m...
Consider a rectangular beam subjected to bending 15 kN 10 kN/m 20 kNm IITTI 0.15 m SIA 0.4 m 2m- Im- 1m 2m- Beam's cross-section a. (10 pts) Determine internal reaction (shear and bending moment) at point located 0.6 m to the left of B. b. (30 pts) Determine normal stress at that point A. Identify whether stress is tensile or compressive c. (30 pts) Determine shear stress at that point A. Identify whether stress is tensile or compressive. d....
SP3-4 8 kN/m q(x) = (2+2x) kN/m 2 kN/m For the beam above, find equations for...
SP3-4 8 kN/m q(x) = (2+2x) kN/m 2 kN/m For the beam above, find equations for internal shear force and bending moment (V(x) & M(x)), draw shear and moment (V & M) diagrams, and find the maximum positive and negative (+ & shear forces and bending moments in the beam. Answers to SP3
Quiz # 5 60 kN 100 N 20 KN m 18 m 0.9 m For the...
Quiz # 5 60 kN 100 N 20 KN m 18 m 0.9 m For the beam and loading shown a) Draw shear and moment diagram b) Determine maximum shear and maximum moment values c) Calculate the maximum normal stress due to bending, in the U-shaped section of the beam, which is placed with an inclination of 30° with the vertical as shown.
The beam is loaded as shown in the diagram below. The beam is uniformly loaded at...
The beam is loaded as shown in the diagram below. The beam is uniformly loaded at 3 kN/m for the length of 4 m from B. The beam also has two point loads, 4 KN at 2 m from A and 3 KN at 3 m from B. 2 KN 3 KN 3KN/m A 2 m 2 m 11 m 3 m Fig. Q2 Draw a shear force and bending moment diagram. Also determine the location of maximum bending moment...
Problem 2: For the beam shown below: 16.0 kN/m 8.0 kN/m 16.8 mm 354 mm 9.4...
Problem 2: For the beam shown below: 16.0 kN/m 8.0 kN/m 16.8 mm 354 mm 9.4 mm 50 kN 205 mm 4.0 m Beam Cross Section 4.0 m 4.0 m (a) Draw and label the axial, shear, and bending moment diagrams for the beam. (b) Determine the location and magnitude of maximum forces in the beam (axial, shear, and moment). (c) At the location of the maximum forces, draw the distribution of normal and shear stresses over the depth of...
(1) Determine reactions R(E) and R(B) acting at supports E and B (2) Draw SFD &...
(1) Determine reactions R(E) and R(B) acting at
supports E and B
(2) Draw SFD & BMD
(3) Find all points where the shear force is zero
(4) Calculate the maximum positive & negative moment
Loaded beam and its section are given below. Modulus of elasticity(E) for a given beam is 30Gpa. Obtain material properties and the corresponding stresses specified at 1-9. Kumit Cm 2KN/m 412, 6
As shown in Figure 8, the structural member (beam) is 7m long, carries a 2 kN point load, a 1.2 kN/m uniformly distributed load and is supported at points A and B. The beam is constructed from two pieces of steel plate (2 at 80mm x 8mm) that are welded together with 3mm welds. Section properties for the beam are also listed. Given the support reactions as RAv 5.8 kN and RBv 2.2 kN, as well as the shear force...
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
For a constant EI (use EI as a constant in
your answer):
a. Determine the reactions RA and RC and
draw the shear force diagram (SFD) and the bending moment diagram
(BMD). See image below.
b. Determine the slope at A (θA) and the deflection
at B (ΔB) using the Moment-Area Method.
c. Determine the equation of the elastic curve, y(x), using the
Integration Method.
16 kN/m B 4 m 4 m SFD BMD
Consider the simply supported beam and loaded as shown in the M figure. Perform the following: 1. Determine the support reactions. 2. Plot SFD and BMD 3. if L=9 m, the beam will fail when the maximum shear force is Vmax= 5 kN or the maximum bending moment is Mmax=22 kN.m. Determine the largest couple moment Mo the beam will support.
Consider a rectangular beam subjected to bending 15 kN 10 kN/m 20 kNm IITTI 0.15 m SIA 0.4 m 2m- Im- 1m 2m- Beam's cross-section a. (10 pts) Determine internal reaction (shear and bending moment) at point located 0.6 m to the left of B. b. (30 pts) Determine normal stress at that point A. Identify whether stress is tensile or compressive c. (30 pts) Determine shear stress at that point A. Identify whether stress is tensile or compressive. d....
SP3-4 8 kN/m q(x) = (2+2x) kN/m 2 kN/m For the beam above, find equations for internal shear force and bending moment (V(x) & M(x)), draw shear and moment (V & M) diagrams, and find the maximum positive and negative (+ & shear forces and bending moments in the beam. Answers to SP3
Quiz # 5 60 kN 100 N 20 KN m 18 m 0.9 m For the beam and loading shown a) Draw shear and moment diagram b) Determine maximum shear and maximum moment values c) Calculate the maximum normal stress due to bending, in the U-shaped section of the beam, which is placed with an inclination of 30° with the vertical as shown.
The beam is loaded as shown in the diagram below. The beam is uniformly loaded at 3 kN/m for the length of 4 m from B. The beam also has two point loads, 4 KN at 2 m from A and 3 KN at 3 m from B. 2 KN 3 KN 3KN/m A 2 m 2 m 11 m 3 m Fig. Q2 Draw a shear force and bending moment diagram. Also determine the location of maximum bending moment...
Problem 2: For the beam shown below: 16.0 kN/m 8.0 kN/m 16.8 mm 354 mm 9.4 mm 50 kN 205 mm 4.0 m Beam Cross Section 4.0 m 4.0 m (a) Draw and label the axial, shear, and bending moment diagrams for the beam. (b) Determine the location and magnitude of maximum forces in the beam (axial, shear, and moment). (c) At the location of the maximum forces, draw the distribution of normal and shear stresses over the depth of...
(1) Determine reactions R(E) and R(B) acting at
supports E and B
(2) Draw SFD & BMD
(3) Find all points where the shear force is zero
(4) Calculate the maximum positive & negative moment
Loaded beam and its section are given below. Modulus of elasticity(E) for a given beam is 30Gpa. Obtain material properties and the corresponding stresses specified at 1-9. Kumit Cm 2KN/m 412, 6
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