Question 4: Shear stress in a beam (40 marks)
Consider the beam section illustrated in the figure to the right. The beam has a shearing force of V = 5 kN acting vertically through the shear center as illustrated. (a) Determine the shear stress at the three points in the beam section labelled (i), (ii), and (iii). [20 marks] (b) Produce a plot showing the direction and distribution of shear stress across the beam section, noting the shape of the distributions and key values. [10 marks] (c) Determine the distance e (as shown on the figure) which defines the location of the shear center of this section. [10 marks]
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Question 4: Shear stress in a beam (40 marks) Consider the beam section illustrated in the figure to the right. The beam has a shearing force of V = 5 kN acting vertically through the shear center as...
The internal shear force at a certain section of a steel beam is V=185 kN. The...
The internal shear force at a certain section of a steel beam is
V=185 kN. The beam cross section shown in the figure has dimensions
of tf=17 mm, bf=300 mm, d=394 mm, and tw=10 mm. Determine:
(a) the shear stress at point A, which is located at
yA=71 mm below the centroid of the wide-flange shape.
(b) the maximum horizontal shear stress in the wide-flange
shape.
The internal shear force at a certain section of a steel beam is V=...
5. A beam has the cross-section as shown in the figure. If the shear force at...
5. A beam has the cross-section as shown in the figure. If the shear force at a section is 24.6 KN, find the maximum shear stress and its location. 100 mm 20 mm T 100 mm 20mm
A beam with a square cross-section is in a combined state of loading. There is an axial force N 350 kN acting in the x-...
A beam with a square cross-section is in a combined state of loading. There is an axial force N 350 kN acting in the x-direction, a torque T 50 kNm acting about the x-axis, and a bending moment M 40 kNm acting about the z-axis as shown. The side length of the beam is a 15.0 cm. B T a (a) Find the nomal stress due to N and M at points A and B. [10 marks] (b) Find the...
Shear centre 2. 4-85 st reteol has a Sheaar force 5 kN cting verticelly hrough the shear The beam Sectior of show^ cen4...
Shear centre 2. 4-85 st reteol has a Sheaar force 5 kN cting verticelly hrough the shear The beam Sectior of show^ cen4re_ as a) calculate the shear Stress atthe Ponts i, ii and lot shou the the drecton ar roduce distribution of Shear stress across the beam sechen not nshape of ds btien end key vees c Determ,ne the dstance, e, whichspecifes the locationof the stear centre
Shear centre 2. 4-85 st reteol has a Sheaar force 5 kN...
A steel channel section of length I has a built-in support at its lower end, and...
A steel channel section of length I has a built-in support at its lower end, and the upper end of the section has a rigid plate welded onto it, as illustrated in the figure below. The steel has a modulus of elasticity of E 200 GPa and a yield strength = 300 MPa. The section has a cross sectional area .d-1070 mm2 and second moments of area about its principal centroid axes of 1.-3.97 x 106mm4 and ly 0.658 ×...
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 t...
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...
The internal shear force at a certain section of a steel beam is
V=185 kN. The beam cross section shown in the figure has dimensions
of tf=17 mm, bf=300 mm, d=394 mm, and tw=10 mm. Determine:
(a) the shear stress at point A, which is located at
yA=71 mm below the centroid of the wide-flange shape.
(b) the maximum horizontal shear stress in the wide-flange
shape.
The internal shear force at a certain section of a steel beam is V=...
5. A beam has the cross-section as shown in the figure. If the shear force at a section is 24.6 KN, find the maximum shear stress and its location. 100 mm 20 mm T 100 mm 20mm
A beam with a square cross-section is in a combined state of loading. There is an axial force N 350 kN acting in the x-direction, a torque T 50 kNm acting about the x-axis, and a bending moment M 40 kNm acting about the z-axis as shown. The side length of the beam is a 15.0 cm. B T a (a) Find the nomal stress due to N and M at points A and B. [10 marks] (b) Find the...
Shear centre 2. 4-85 st reteol has a Sheaar force 5 kN cting verticelly hrough the shear The beam Sectior of show^ cen4re_ as a) calculate the shear Stress atthe Ponts i, ii and lot shou the the drecton ar roduce distribution of Shear stress across the beam sechen not nshape of ds btien end key vees c Determ,ne the dstance, e, whichspecifes the locationof the stear centre
Shear centre 2. 4-85 st reteol has a Sheaar force 5 kN...
A steel channel section of length I has a built-in support at its lower end, and the upper end of the section has a rigid plate welded onto it, as illustrated in the figure below. The steel has a modulus of elasticity of E 200 GPa and a yield strength = 300 MPa. The section has a cross sectional area .d-1070 mm2 and second moments of area about its principal centroid axes of 1.-3.97 x 106mm4 and ly 0.658 ×...
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...
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