30 kN/m C 12 kN 300 B 250 mm 250 mm 6 kNm 150 mm E 640 200 mm 480 (a) Figure 1: Idealized sketch of the system. illustration of the double-shear connection at B. Figure 3: 7 (MPa) Rubber 130 material stress-strain diagram. Stress (MPa) 320 160 0.002 0.004 0.006 0.008 0.01 Strain (mm/mm) y (rad) 0.005 Figure 2: Stainless- steel alloy stress-strain diagram.
30 kN/m C 12 kN 300 B 250 mm 250 mm 6 kNm 150 mm E 640 200 mm 480 (a) Figure 1: Idealized sketch of the system. illustration of the double-shear connection at B. Figure 3: 7 (MPa) Rubber 130 material stress-strain diagram. Stress (MPa) 320 160 0.002 0.004 0.006 0.008 0.01 Strain (mm/mm) y (rad) 0.005 Figure 2: Stainless- steel alloy stress-strain diagram.
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
Please help with this sample problem presented in our lecture. Explain the relevant concepts on how to derive the answers. Thank you!
Sample Problem:
The rigid angle bar ABC is pinned at B with a double-shear bolt connection and is attached to a 12 mm diameter stainless-steel alloy cable at CD. The other end of the steel cable is attached to a rigid plate DE that is attached to a rubber block with dimensions of 150 mm x 25 mm x 200 mm (L x W x H) fixed on ground. Use the stress-strain diagrams for the steel cable and the rubber block in Figures 2 and 3 in answering the following questions.
Determine the following:
- The internal force in the stainless-steel alloy cable.( T = ______ kN)
- The resultant support reaction at the pin support.(R_b = _____ kN)
- The minimum required bolt diameter using a factor of safety equal to 2 and the average shear stress capacity of the bolt equal to 372 MPa. d_bolt >= ___ mm
- Axial deformation of the stainless-steel alloy cable. (Deformation_CD = ____ mm)
- Displacement of the rigid plate DE, if the dimensions of the plate is 25 mm x 150 mm while the height of the rubber is 200 mm.
- Angle of rotation of the rigid angle bar ABC and draw the corresponding sketch of the final displacement. (in rad)
Transcribed Image Text:30 kN/m C
12 kN
300
B
250 mm
250 mm
6 kNm
150 mm
E
640
200 mm
480
(a)
Figure 1: Idealized sketch of the system.
illustration of the double-shear connection at B.
Figure 3:
7 (MPa)
Rubber 130
material
stress-strain
diagram.
Stress (MPa)
320
160
0.002
0.004
0.006
0.008
0.01
Strain (mm/mm)
y (rad)
0.005
Figure 2:
Stainless-
steel alloy
stress-strain
diagram.
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