Chapter 18, Problem 2RQ

Problem 2: Use the table below to compute the coordinates of the centroid of area shown below. y – 3 in.—|— 4 in. - -3 3 in. 3 in. x Area X X * Area y Y * Area Component (in²) (in) (in³) (in) (in³) Square 1 Rectangle 2 Triangle 3 Rectangle 4 Σ

A shallow foundation measuring 1 m × 2 m in plan is to be constructed over a normally consolidated sand layer. Given: D₁ = 1 m, №60 increases with depth, N 60 (in the depth of stress influence) = 11, Estimate the elastic settlement using Burland and Burbidge's method. (Enter your answer to three significant figures.) Se mm and Inet = 138 kN/m².

A continuous foundation on a deposit of sand layer is shown in the figure below along with the variation of the cone penetration resistance qc 1.5 m 0 2.5 m Sand 14 q= 195 kN/m² qe (kN/m²) 9 1750 93450 9c=2900 Depth (m) Assuming = 16 kN/m² and creep is at the end of ten years after construction, calculate the elastic settlement of the foundation using the strain influence factor method. Use the equations 22 Iz Es 0 | Se = C₁C2 (9) Az and Es = 3.5qc (for L/B> 10) (Enter your answer to three significant figures.) Se = mm

Determine the stiffness matrices for the entire truss in the global co-ordinate system.  Assume A=0.0015m2 and E=200GPa, indicate the degrees of freedom in all stiffness matricies.

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nent 6-Transverse Shear & Deflection ↓ 2 of 2 -+ Automatic Zoom 4.) The built-up wooden beam shown is subjected to a vertical shear of 8 kN. Knowing the the nails are spaced longitudinally every 60 mm at A and every 25 mm at B, determine the shear force in the nails at A and B. (5 points) 50 300- 400 A 50 A C 150 B A 100 50 200 A B Dimensions in mm 5.) A 2.5 inch x 5.5 inch rectangular Southern pine section (E=1.8 x 103 ksi) is used in an 8 ft cantilever span subjected to the loads shown. Compute the deflections at point A. (4 points) Д

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*8-60. The 2-in.-diameter rod is subjected to the forces shown. Determine the state of stress at point B, and show the results on a differential element located at this point. Probs. 8-59/60 B 8 in. 600 lb 12 in. 500 lb 800 lb