PRACTICE SHEET-5 MEC201 MECHANICS OF SOLIDS Q1. The 40-mm-diameter shaft carries a uniformly distributed load of intensity w o over half of its span. The self-aligning bearings at A and C act as simple supports. Find the largest allowable value of w o if the bending stress in the shaft is limited to 60MPa. Q2. The stepped shaft carries a concentrated load P at its midspan. If the working stress in bending is 18 ksi, find the largest allowable value of P. assume that the bearings at A and E act as simple supports. Q3. The beams ABD and DE are joined by a hinge at D. select the lightest allowable W-shape for each beam if the working stress in bending is 120 MPa. Also calculate the actual maximum bending stress in each beam.
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PRACTICE SHEET-5
MEC201 MECHANICS OF SOLIDS
Q1. The 40-mm-diameter shaft carries a uniformly distributed load of intensity wo over half of its span. The self-aligning bearings at A and C act as simple supports. Find the largest allowable value of wo if the bending stress in the shaft is limited to 60MPa.
Q2. The stepped shaft carries a concentrated load P at its midspan. If the working stress in bending is 18 ksi, find the largest allowable value of P. assume that the bearings at A and E act as simple supports.
Q3. The beams ABD and DE are joined by a hinge at D. select the lightest allowable W-shape for each beam if the working stress in bending is 120 MPa. Also calculate the actual maximum bending stress in each beam.
Q4. The manufactured wood beam carries a uniformly distributed load of intensity wo. determine the largest safe value of wo if the maximum shear stress in the wood is limited to 300 psi.
Q5. The beam consists of two S18x 70 sections that are welded together as shown. If the intensity of the uniformly distributed load is wo = 15 kip/ft, calculate the maximum shear stress in the beam.
Q6. A W250 x 49 section (with the web vertical) is used as a cantilever beam 4 m long. The beam supports a uniformly distributed loading of intensity wo over its entire length. Determine the ratio maximum normal stress/ maximum shear stress.
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