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Question 1: Consider the beam below. Please use the table below to determine the appropriate valu...
For the beam shown below, find the maximum bending stress and maximum transverse shear stress. That...
For the beam shown below, find the maximum bending stress and maximum transverse shear stress. That is, carry out load and stress analyses in the following order. Load Analysis Draw the load diagram or free body diagram (FBD) and determine the support reactions. Show your calculations. • Draw the shear force diagram (SFD). Show your calculations. Draw the bending moment diagram (BMD). Show your calculations. Stress Analysis Identify the critical section(s) and determine the maximum normal (bending) stress at the...
The simply-supported beam having I-beam cross-section as shown in figure is to carry a uniformly distributed...
The simply-supported beam having I-beam cross-section as shown in figure is to carry a uniformly distributed load over its entire 1.2m length. Specify the maximum allowable load if the beam is made from malleable iron, ASTM A220, class 80002. The allowable tensile stress is 164 MPa and allowable compressive stress is 412 MPa. The centroid of the section is located at 35 mm from the bottom and moment of inertia are Ix = 2.66 x 10 mm". (a) Draw loading...
Q 4. A beam is shown in the figure given below where A is hinged, and...
Q 4. A beam is shown in the figure given below where A is hinged, and B and C are roller supports. Use Three-Moment-Theorem to determine the end moments and draw the BMD for the beam. w kN/m P2 kN P1 kN B A D 2EI 2EI EI L4 L3 L3 L2 L1. in Given values: L1=4m, L2=3m, L3=3m, L4=2m, P1=6KN, P2=8KN, W=8kn/m
Mech Su Date.. ID. Student Name.. Question 1: Calculate the shear force and bending moment for...
Mech Su Date.. ID. Student Name.. Question 1: Calculate the shear force and bending moment for the beam subjected to the loads shown in the figure, then draw the shear force diagram (SFD) and bending moment diagram (BMD) as 50 kN 50 kN 25 kN/m A 4m 5 m 5 m
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
Question 1. Statically Determinate Frames (15 Marks) For the fame below: (3 marks) a) Find reactions,...
Question 1. Statically Determinate Frames (15 Marks) For the fame below: (3 marks) a) Find reactions, vertical and horizontal b) Draw Shear Force Diagram SFD, showing all significant values (5 marks) c) Draw Bending Moment Diagram BMD, showing all significant values (5 marks) (2 marks) d) Sketch deflected shape 4 kN/m 100kN 3 3 10m
For the shaft shown below, draw the free body diagram of just the shaft (isolated from...
For the shaft shown below, draw the free body diagram of just
the shaft (isolated from the pulley) including directions and
values of all reaction loads at the self-aligning bearings A and B.
Once complete, directly under your FBD, draw the shear force
diagram (SFD), bending moment diagram (BMD) and torque diagram (TD)
with all important values shown on the figures. Directions are
critical and you must show your axes (choose).
B 100 Free end of shaft 20-mm- dia. shaft...
Problem#1 (10 points): For each beam in the figure below, determine the following: a) Shear forces...
Problem#1 (10 points): For each beam in the figure below, determine the following: a) Shear forces b) The shear force diagram. c) Bending moments. d) The bending moment diagram. e) The maximum value of the bending stress (same cross-section for all beams) (I=180*106 mm). f) The mode of loading created by the bending stress (tension or compression) 19 N le 12 N 16 AN 24 AN GAN 2 N 20 NEL 1 m ( 19 KN 2 AN NYE 4...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine t...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19 kN 10 kN/m T 2 mm mm A4n - 3 m +3m → a. Draw the shear force and bending moment diagram. 2 mm Section X-X b. For the cross section x-x given, calculate the maximum tensile and compressive bending stress c. For the cross section X-X given, calculate the maximum shear stress
For the beam shown below, find the maximum bending stress and maximum transverse shear stress. That is, carry out load and stress analyses in the following order. Load Analysis Draw the load diagram or free body diagram (FBD) and determine the support reactions. Show your calculations. • Draw the shear force diagram (SFD). Show your calculations. Draw the bending moment diagram (BMD). Show your calculations. Stress Analysis Identify the critical section(s) and determine the maximum normal (bending) stress at the...
The simply-supported beam having I-beam cross-section as shown in figure is to carry a uniformly distributed load over its entire 1.2m length. Specify the maximum allowable load if the beam is made from malleable iron, ASTM A220, class 80002. The allowable tensile stress is 164 MPa and allowable compressive stress is 412 MPa. The centroid of the section is located at 35 mm from the bottom and moment of inertia are Ix = 2.66 x 10 mm". (a) Draw loading...
Q 4. A beam is shown in the figure given below where A is hinged, and B and C are roller supports. Use Three-Moment-Theorem to determine the end moments and draw the BMD for the beam. w kN/m P2 kN P1 kN B A D 2EI 2EI EI L4 L3 L3 L2 L1. in Given values: L1=4m, L2=3m, L3=3m, L4=2m, P1=6KN, P2=8KN, W=8kn/m
Mech Su Date.. ID. Student Name.. Question 1: Calculate the shear force and bending moment for the beam subjected to the loads shown in the figure, then draw the shear force diagram (SFD) and bending moment diagram (BMD) as 50 kN 50 kN 25 kN/m A 4m 5 m 5 m
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
Question 1. Statically Determinate Frames (15 Marks) For the fame below: (3 marks) a) Find reactions, vertical and horizontal b) Draw Shear Force Diagram SFD, showing all significant values (5 marks) c) Draw Bending Moment Diagram BMD, showing all significant values (5 marks) (2 marks) d) Sketch deflected shape 4 kN/m 100kN 3 3 10m
For the shaft shown below, draw the free body diagram of just
the shaft (isolated from the pulley) including directions and
values of all reaction loads at the self-aligning bearings A and B.
Once complete, directly under your FBD, draw the shear force
diagram (SFD), bending moment diagram (BMD) and torque diagram (TD)
with all important values shown on the figures. Directions are
critical and you must show your axes (choose).
B 100 Free end of shaft 20-mm- dia. shaft...
Problem#1 (10 points): For each beam in the figure below, determine the following: a) Shear forces b) The shear force diagram. c) Bending moments. d) The bending moment diagram. e) The maximum value of the bending stress (same cross-section for all beams) (I=180*106 mm). f) The mode of loading created by the bending stress (tension or compression) 19 N le 12 N 16 AN 24 AN GAN 2 N 20 NEL 1 m ( 19 KN 2 AN NYE 4...
Question 2: A simply supported beam under loading as shown in Figure 1: 1. Draw the influence lines of the bending moment and shear force at point C (L/4) Using the influence lines to determine the bending moment and shear force at section C due to the loading as shown in the figure. 2. 3. There is a distributed live load (w#2.5kN/m) which can vary the location along the beam. Determine the location of the live loads which create the...
For the beam shown below (neglect self-weight of the beam) 16 kN x 8 mm 19 kN 10 kN/m T 2 mm mm A4n - 3 m +3m → a. Draw the shear force and bending moment diagram. 2 mm Section X-X b. For the cross section x-x given, calculate the maximum tensile and compressive bending stress c. For the cross section X-X given, calculate the maximum shear stress
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