Part 1 For the simply supported beam subjected to the loading shown, derive equations for the shear force V and the bending moment M for any location in the beam. (Place the origin at point A.) Let a=11.0 ft, b=19.5 ft, P = 34 kips and w = 6.0 kips/ft. Construct the shear-force and bending-moment diagrams on paper and use the results to answer the questions in the subsequent parts of this GO exercise. Answers: Ay = Cy= i a i Calculate the reaction forces Ay and Cy acting on the beam. Positive values for the reactions are indicated by the directions of the red arrows shown on the free-body diagram below. (Note: Since Ax = 0, it has been omitted from the free-body diagram.) P a B W B b W b kips x kips X

Civil engineers often use the straight-line equation,   = b 0 + b 1x, to model the relationship between the shear strength y of masonry joints and precompression stress, x. To test this theory, a series of stress tests were performed on solid bricks arranged in triplets and joined with mortar. The precompression stress was varied for each triplet and the ultimate shear load just before failure (called the shear strength) was recorded. The stress results for n = 7 resulted in a Coefficient of Determination of 0.8436. Given that r 2=  0.8436, give a practical interpretation of r 2, the coefficient of determination for the least squares model.   a. We expect to predict the shear strength of a triplet test to within about 0.8436 tons of its true value. b. About 84.36% of the total variation in the sample of y-values can be explained by (or attributed to) the linear relationship between shear strength and precompression stress. c. In repeated sampling, approximately 84.36% of…

QUESTION 4 The following figure represents a cross section through a long opening. The magnitudes of the plane components of the field stresses are o,= 13.75 MPa, o, = 19.25 MPa, Ty = 4.76 MPa, expressed relative to the reference axes !! shown. 1. Calculate the maximum and minimum boundary stresses in the excavation perimeter, defining the locations of the relevant points. 2. If the strength of the rock mass is defined by a maximum shear strength criterlon, and the shear strength is 20 MPa, estimate the extent of boundary failure, in terms of the angular range over the perimeter.

The wooden frame is constructed from wooden 2” X 4” Lumber (Nominal size; Actual size:  1 ½” X 3 ½”) and bears a uniform distributed load. All connections are pin connected. If wo =  100 lb/ft, and L =  9 ft.  Note that the distributed load is the force per unit length in the horizontal direction. A) Find the vertical reaction force at A. 747 450 248 900 563 B) Find the normal stress perpendicular to the grain at point D.  -26.4 -33.9 -85.7 -21.4 -66.9 C) Find the shear force, V, on the cross-section at E. 106 900 159 150 35

When the two forces are placed on the beam, the diameter of the A-36 steel rod BC decreases from 40 mm to 39.96 mm. (Figure 1) Figure -1 m -1 m P -1 m- B 0.75 m 1 m Part A Determine the magnitude of each force P. Express your answer to three significant figures and include the appropriate units. P = μA Value KN Submit Previous Answers Request Answer Provide Feedback ? X Incorrect; Try Again; 2 attempts remaining

Please help. Written on paper not typed on computer or keyboard please. Need help on all questions. Please include all units, steps to the problem and information such as its direction or if it is in compression or tension. Thx.

Please solve in a handwritten format. Don't use chatgpt. Mechanical engineering