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4. Determine the cross section area using coordinate method only. Consider the coordinate of centreline of...
4. Section Method (4 points) Using the section method (the average end area method), determine the...
4. Section Method (4 points) Using the section method (the average end area method), determine the required volume of the cuts and fills for a new road. The cuts and fills for each station are shown in Table below Express your answer in cubic yards. Cut (sf) Fill (sf 120 100 Station 1+00 1+50 2+00 2+50 3+00 3+40 145 120 80 50 400 The material in this problem has a shrinkage of 94 percent and a swell of 25 percent....
Problem 2 (3 points) 1m 1m For the planar truss below, determine the nodal oay displacements in t...
Problem 2 (3 points) 1m 1m For the planar truss below, determine the nodal oay displacements in the Global Coordinate system using the finite element direct method Global y Node 2 Node 1 Global x Element 1Element 2 2m Assume all the truss members are of the same Young's modulus E-65x 109 Nm. Element 1 and element 2 have the same cross-sectional area of 0.01 m and the cross-sectional area of element 3 is 0.02 m2. Do not rename the...
Bern 2) Using Mohr Circle, determine the product of inertia (1) of the rectangular cross-section with...
Bern 2) Using Mohr Circle, determine the product of inertia (1) of the rectangular cross-section with respect to the inclined u and v axes, shown in the Figure. Centroid of the cross-section is denoted with C and B-20cm and H-30cm and 0 -20°. Answer only what is asked! Hem 40 KN 20 KN 30 KN 3) Determine internal normal force (N), shear force (V), and bending moment (M) at point E and determine the horizontal and vertical components of reaction...
1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine t...
1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine the location of the Centrorid (i.e. find a and b) b) (5 pts) Determine the moments and product of inertia using the coordinate axes shown (i.e. findふ1, and in). c) (5 pts) If the maximum allowable stress in 12 ksi (tension or compression), determine the largest allowable bending moment about the e axis, Mo. As part of your work, determine where the maximum tensile and...
(6) Consider the 3-D conic section 5x2 + y2 + 2,2-4m-y+x+2+1-0. Rotate and translate the coordinate axes to write it in stanHlard form. Hence determine the type of surface this describes (6) Co...
(6) Consider the 3-D conic section 5x2 + y2 + 2,2-4m-y+x+2+1-0. Rotate and translate the coordinate axes to write it in stanHlard form. Hence determine the type of surface this describes
(6) Consider the 3-D conic section 5x2 + y2 + 2,2-4m-y+x+2+1-0. Rotate and translate the coordinate axes to write it in stanHlard form. Hence determine the type of surface this describes
Consider the cross-section shown in the accompanying figure and determine, from first principles, the expressions for th...
Consider the cross-section shown in the accompanying figure and
determine, from first principles, the expressions for the second
moment of area about both the x- and y-axes.
y b h 4 3h Parabolic 4
y b h 4 3h Parabolic 4
The structural system shown in the figure is determined, using the moment area method to determine...
The structural system shown in the figure is determined, using
the moment area method to determine the value of the deflection and
slope of point C, that has been identified on the beam. The
stiffness value is in accordance with what is shown in the figure,
the cross section of the beam is uniform and constant
12 kN/m c3eІ ZEI В A 1 2.4om 3.40 m 5.80 m
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure...
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
Complete the following problems using the LRFD design method. Determine the effective area Ae for each...
Complete the following problems using the LRFD design method. Determine the effective area Ae for each of the following cases. Please note that "PL" indicates a steel plate. All dimensions for bolted connections are shown to the centerline of the bolt. If the plates/angles are ASTM A36 steel, what is the LRFD design tensile strength DPn for each condition? 1. Weld Weld Weld PLN6
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber,...
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber, which has an asymmetric moment, M, applied. Determine which material will fail first and the magnitude of M at failure. Esteel 205 GPa, Cydsteel= 240 MPa, Enimber= 15 GPa, Oyd.timber = 80 MPa. (16 marks) 10 mm Steel 90 mm 6-35 Z Timber Steel 10 mm 50 mm
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber,...
4. Section Method (4 points) Using the section method (the average end area method), determine the required volume of the cuts and fills for a new road. The cuts and fills for each station are shown in Table below Express your answer in cubic yards. Cut (sf) Fill (sf 120 100 Station 1+00 1+50 2+00 2+50 3+00 3+40 145 120 80 50 400 The material in this problem has a shrinkage of 94 percent and a swell of 25 percent....
Problem 2 (3 points) 1m 1m For the planar truss below, determine the nodal oay displacements in the Global Coordinate system using the finite element direct method Global y Node 2 Node 1 Global x Element 1Element 2 2m Assume all the truss members are of the same Young's modulus E-65x 109 Nm. Element 1 and element 2 have the same cross-sectional area of 0.01 m and the cross-sectional area of element 3 is 0.02 m2. Do not rename the...
Bern 2) Using Mohr Circle, determine the product of inertia (1) of the rectangular cross-section with respect to the inclined u and v axes, shown in the Figure. Centroid of the cross-section is denoted with C and B-20cm and H-30cm and 0 -20°. Answer only what is asked! Hem 40 KN 20 KN 30 KN 3) Determine internal normal force (N), shear force (V), and bending moment (M) at point E and determine the horizontal and vertical components of reaction...
1. (20 pts) Consider the L-stiffener with the cross-section geometry shown a) (S pts) Determine the location of the Centrorid (i.e. find a and b) b) (5 pts) Determine the moments and product of inertia using the coordinate axes shown (i.e. findふ1, and in). c) (5 pts) If the maximum allowable stress in 12 ksi (tension or compression), determine the largest allowable bending moment about the e axis, Mo. As part of your work, determine where the maximum tensile and...
(6) Consider the 3-D conic section 5x2 + y2 + 2,2-4m-y+x+2+1-0. Rotate and translate the coordinate axes to write it in stanHlard form. Hence determine the type of surface this describes
(6) Consider the 3-D conic section 5x2 + y2 + 2,2-4m-y+x+2+1-0. Rotate and translate the coordinate axes to write it in stanHlard form. Hence determine the type of surface this describes
Consider the cross-section shown in the accompanying figure and
determine, from first principles, the expressions for the second
moment of area about both the x- and y-axes.
y b h 4 3h Parabolic 4
y b h 4 3h Parabolic 4
The structural system shown in the figure is determined, using
the moment area method to determine the value of the deflection and
slope of point C, that has been identified on the beam. The
stiffness value is in accordance with what is shown in the figure,
the cross section of the beam is uniform and constant
12 kN/m c3eІ ZEI В A 1 2.4om 3.40 m 5.80 m
Question 3 For the simply supported steel beam with cross section and loading shown (see Figure 3a), knowing that uniformly distributed load w=60 kN/m, Young modulus E = 200 GPa, and yield stress Cyield=200 MPa (in both tension and compression). ул 15 mm w=60 kN/m ... 1 B A 15 mm + 300 mm IC - i 2.5m 1 1 15 mm 7.5m 1 150 mm Figure 3a (a) Check if: the beam is safe with respect to yielding (using...
Complete the following problems using the LRFD design method. Determine the effective area Ae for each of the following cases. Please note that "PL" indicates a steel plate. All dimensions for bolted connections are shown to the centerline of the bolt. If the plates/angles are ASTM A36 steel, what is the LRFD design tensile strength DPn for each condition? 1. Weld Weld Weld PLN6
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber, which has an asymmetric moment, M, applied. Determine which material will fail first and the magnitude of M at failure. Esteel 205 GPa, Cydsteel= 240 MPa, Enimber= 15 GPa, Oyd.timber = 80 MPa. (16 marks) 10 mm Steel 90 mm 6-35 Z Timber Steel 10 mm 50 mm
(a) Consider the composite beam depicted in cross-section in Figure 1, composed from steel and timber,...
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