The beam shown (Figure 1) is supported by a pin at A and a cable at B. Two loads P = 13 kN are applied straight down from the centerline of the bottom face. Determine the state of stress at the point shown (Figure 2) in a section 2 m from the wall. The dimensions are w = 5.2 cm , h = 10.5 cm , L = 0.8 m , a = 1.5 cm , and b = 4 cm .
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The beam shown (Figure 1) is supported by a pin at A and a cable at...
The beam shown (Figure 1) is supported by a pin at A and a cable at B. Two loads P = 13 kN are applied straight down from the centerline of the bottom face. Determine the state of stress at the point shown (Figure 2) in a section 2 m from the wall. The dimensions are w = 5.2 cm , h = 10.5 cm , L = 0.8 m , a = 1.5 cm , and b = 4...
The beam shown (Figure 1) is supported by a pin at A and a cable at B. Two loads P = 13 kN are applied straight down from the centerline of the bottom face. Determine the state of stress at the point shown (Figure 2) in a section 2 m from the wall. The dimensions are w = 5.2 cm , h = 10.5 cm , L = 0.8 m , a = 1.5 cm , and b = 4...
Learning Goal: The beam shown (Figure 1) is supported by a pin at A and a cable at B. Two loads P = 18 kN are applied straight down from the centerline of the bottom face. Determine the state of stress at the point shown (Figure 2) in a section 2 m from the wall. The dimensions are w = 5.4 cm , h = 12 cm, L = 0.8 m, a = 1.5 cm , and b = 4...
A column with a wide-flange section has a flange width b = 400 mm , height h = 400 mm , web thickness tw = 13 mm , and flange thickness tf = 21 mm (Figure 1). Calculate the stresses at a point 65 mm above the neutral axis if the section supports a tensile normal force N = 3 kN at the centroid, shear force V = 7.4 kN , and bending moment M = 4 kN⋅m as shown...
For the beam shown in the figure below a. Draw the shear and moment diagrams for this beam b. Calculate the maximum bending stress, maximum axial stress, and maximum shear stress acting on the beam cross section c. Sketch the distributions of shear stresses and bending stresses acting on the beam cross section at the locations where these stresses are maximum.
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...
A simply supported prismatic beam is loaded with a load applied at an angle at point F as shown below The beams connecting points CE and EF can be considered rigid (l-very large). The magnitude of the applied load P is 75kN. NOTE: You must use your student number to calculate the magnitude of the angle, α, and the length EF using the expressions below. The angle, α, is given in degrees and the unit for length EF is m...
3. A beam with a hollow circular cross section of outer diameter D and inner diameter d. The length Lis fixed at a wall. Consider the following loading conditions, all applied to the beam at the midpoint of length L. For each loading scheme state determine the magnitude of that stress in terms of the variables given in the problem). (5 points) i. ii. iii. iv. V. Normal stress due to axial load F Shear stress due to torque T...
Q1 A cantilever steel beam of length L = 7.5 m carries both a uniformly distributed load w of 20 kN/m throughout its length and a point load P of 10 kN at its free end, as shown in Figure Q1 (a). The beam is made from a rectangular hollow box section with a width of 300 mm and a depth of 450 mm (refer to Figure Q1 (b)). The wall thickness of the box section is constant throughout which...
QI A cantilever steel beam of length L 7.5 m carries both a uniformly distributed load w of 20 kN/m throughout its length and a point load P of 10 kN at its free end, as shown in Figure QI (a). The beam is made from a rectangular hollow box section with a width of 300 mm and a depth of 450 mm (refer to Figure Q1 (b)). The wall thickness of the box section is constant throughout which is...